Answer: the measure of SQR is 53°
please help !! My friend has a math test tomorrow and he is struggling to answer this:
Find the equation of a straight line that has a perpendicular bisector of AB.
A = (2,6) B = (5, -2)
Answer:
So the line that is a perpendicular bisector of AB is [tex]y=\frac{3}{8}x+\frac{11}{16}[/tex].
Step-by-step explanation:
If we are looking for a line such that is is perpendicular bisector of AB, then we first need to find the midpoint of AB.
The midpoint of AB is going to be the "average" point.
What I mean by this, to find the x-coordinate of the midpoint we need to average our x-coordinates of our endpoints and we also need to do the same for the y-coordinate part.
Let's begin this.
The average of the x-coordinates of the endpoints are:
[tex]\frac{2+5}{2}=\frac{7}{2}[/tex]
The average of the y-coordinates of the endpoints are:
[tex]\frac{6+(-2)}{2}=\frac{4}{2}=2[/tex]
This concludes the midpoint of AB is [tex](\frac{7}{2},2)[/tex].
Now we also need to calculate the slope of [tex]AB[/tex] so we can find the slope of the line perpendicular to it.
To do this we could use [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]. Without using the formula directly, I like to line the points up vertically and subtract. I then put the 2nd difference over the first difference. Like so,
[tex](5,-2)[/tex]
-[tex](2,6)[/tex]
----------------------
[tex]3 , -8[/tex]
So the slope is [tex]\frac{-8}{3}[/tex].
The line that is perpendicular to the line AB will have an opposite reciprocal slope.
So the line we are looking for has slope [tex]\frac{3}{8}[/tex].
So we are looking for a line going through the midpoint [tex](\frac{7}{2},2)[/tex] and has slope [tex]\frac{3}{8}[/tex].
A line in slope-intercept form is [tex]y=mx+b[/tex].
We know [tex]m=\frac{3}{8}{/tex] and we know a point [tex](x,y)=(\frac{7}{2},2)[/tex]. We could plug this in to find [tex]b[/tex].
Let's do that now.
[tex]2=\frac{3}{8}(\frac{7}{2})+b[/tex]
Simplify:
[tex]2=\frac{21}{16}+b[/tex]
Subtract 21/16 on both sides:
[tex]2-\frac{21}{16}=b[/tex]
Find a common denominator:
[tex]\frac{32}{16}-\frac{21}{16}[/tex]
[tex]\frac{11}{16}[/tex]
So the line that is a perpendicular bisector of AB is [tex]y=\frac{3}{8}x+\frac{11}{16}[/tex]. This is so because the line we found will be perpendicular to AB while also cutting AB into two equal halves.
Simplify (2 3/5) divided by (-3 3/4)
Rewrite the numbers as improper fractions:
2 3/5 = 13/5
-3 3/4 = -15/4
Now you have 13/5 divided by -15/4
When dividing fractions flip the second one over and then multiply:
13/5 x -4/15 = (13 x -4) / (5 x15) = -52/75
Ella and her children went into a bakery and where they sell cookies for $0.50 each and brownies for $2.25 each. Ella has $15 to spend and must buy a minimum of 9 cookies and brownies altogether. If Ella decided to buy 5 cookies, determine the maximum number of brownies that she could buy. If there are no possible solutions, submit an empty answer.
Answer: 5 brownies
Step-by-step explanation:
cookies = 5 x $0.50 = $2.5
$15 - $2.5 = $12.5
$12.5 divided by $2.25 = $5.555
so at the most ella can buy 5 brownies if she buys 5 cookies
Answer:
If each cookie is .50 and she wants to buy 5 cookies @ .50= $2.50
Than subtract $2,50 from $15.00 (which she has to spend you have $12.50
Then divide 2.25 into $12.5 and you get an answer of 5 brownies with a $1.30 extra to spend
Step-by-step explanation:
Describe a data set that has a mean absolute deviation of 0.
Answer:
the difference between a data value in a set and the mean of the set. the mean of all deviations in a set equals zero. absolute value. the distance of any value on a number line from zero. the sum of the absolute values of deviations on each side of the mean are equal.
Step-by-step explanation:
A data set that has a mean absolute deviation of 0 means the average difference between the elements in a data set and mean of the same data set is very less.
What is Mean absolute Deviation?The mean absolute deviation of a dataset is the average distance between each data point and the mean. It gives us an idea about the variability in a dataset.
As we know the mean absolute deviation is the average distance between each data point and the mean.
If more than 50% of your data have identical values, your MAD will equal zero.
Also, the mean absolute deviation of a dataset is the average distance between each data point and the mean.
If the mean absolute deviation (MAD) is close to 0,it means the average difference between the elements in a data set and mean of the same data set is very less.
Thus, the average difference between the elements in a data set and mean of the same data set is very less.
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Find the product.
(3y-2)(3y+2)
Answer:
=9y^2−4
Step-by-step explanation:
3y−2)(3y+2)
=(3y+−2)(3y+2)
=(3y)(3y)+(3y)(2)+(−2)(3y)+(−2)(2)
=9y^2+6y−6y−4
=9y^2−4
Answer:
9y^2-4
Step-by-step explanation:
(3y-2)(3y+2)
9y^2-6y+6y-4
9y^2-4
Graph the inequality on a
number line:
-2 >m
Answer
you put an open circle on -2 on the number line and continue the line into negative infinity ( the left side of the number line)
Step-by-step explanation:
Suppose that circles A and B have a central angle measuring 100°. Additionally, the measure of the sector for circle A is 1071 m²
and for circle B is 407 m²
If the radius of circle A is 6 m, what is the radius of circle B?
10 m
12 m
16 m
Answer:12 m
10π40π = 62x2
x = 12
When circles have the same central angle measure, the ratio of measure of the sectors is the same as the ratio of the radii squared.
Step-by-step explanation:
Find the Missing mixed number____ - 2 1/3 = 3 1/3
Answer:
5/3
Step-by-step explanation:
Left hand side
-2 1/3
it becomes
-2/3
now add 5/3
5/3 - 2/3
by Elysium
(5-2)/3
3/3
So, which is equal to right side
Four trucks were used to make deliveries. The drivers recorded the number of miles driven and the amount of gasoline
Which truck drove the fewest number of miles per gallon of gas?
Answer:
b
Step-by-step explanation:
Answer:
Truck D
Step-by-step explanation:
36:4 = 9 best mpg
Write a system of equations to describe the situation below. Sparkles the Clown makes balloon animals for children at birthday parties. At Jenny’s party, she made 2 balloon poodles and 2 balloon giraffes, which used a total of 12 balloons. For Roger’s party, she used 27 balloons to make 4 balloon poodles and 5 balloon giraffes. How many balloons does each animal require?
Each animal require 3 balloons.
Step-by-step explanation:
Let 'x' be the number of balloon poodles.
Let 'y' be the number of balloon giraffes.
2x+2y = 12 ---------(1)4x+5y = 27 ---------(2)Multiply eqn (1) by 2 and subtract eqn(2) from eqn(1),
4x+4y = 24
(-) 4x+5y = 27
-y = -3
⇒ y=3
⇒ Number of balloon giraffes = 3
Substitute y=3 in eqn(1)
⇒ 2x+2(3) = 12
⇒ 2x+6=12
⇒ x = 6/2
⇒ x = 3
⇒ Number of balloon poodles = 3
Prime factor of 2080
Answer:
2 x 2 x 2 x 2 x 2 x 5 x 13
Step-by-step explanation:
The Prime Factorization is:
2 x 2 x 2 x 2 x 2 x 5 x 13
In Exponential Form:
25 x 51 x 131
CSV Format:
2, 2, 2, 2, 2, 5, 13
The prime factors of 2080 are 2, 2, 2, 2, 5, and 13.
Divide 2080 by the smallest prime number, which is 2:
2080 ÷ 2 = 1040
Continue dividing by 2:
1040 ÷ 2 = 520
Continue dividing by 2:
520 ÷ 2 = 260
Continue dividing by 2:
260 ÷ 2 = 130
Continue dividing by 2:
130 ÷ 2 = 65
Now, 65 is not divisible by 2.
Move to the next prime number, which is 5:
65 ÷ 5 = 13
13 is a prime number.
So, the prime factors of 2080 are 2, 2, 2, 2, 5, and 13. In exponential form, this can be written as 24 * 5 *13.
y = 3x +19
y = 5x +33
Solve this system of equation by substitution
Answer:
( -7, -2)
Step-by-step explanation:
3x + 19 = 5x + 33
x = -7
y= 3x ( - 7) + 19
y= -2
(x, y) = (-7,-2)
The x and y value is -7 and -2.
Given that,
The equations are y = 3x +19 and y = 5x +33.We need to find the value of x and y.Based on the above information, the calculation is as follows:
3x + 19 = 5x + 33
3x - 5x = 33 - 19
-2x = 14
x = -7
Now put the value of x in any of the above equation
So,
y = 3x + 19
= 3(-7) + 19
= -21 + 19
= -2
Therefore we can conclude that the x and y value is -7 and -2.
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3x+2y=-10
2x-5y=3
Solve using elimination
Answer:
look at the picture shown
The solution to the system of equations 3x+2y=-10 and 2x-5y=3 using the elimination method is x = -44/19 and y = -29/19.
Explanation:To solve the system of equations 3x+2y=-10 and 2x-5y=3 using the elimination method, we need to multiply the equations by respective constants so that a variable gets eliminated when we add or subtract them. Let's try to eliminate y.
Multiply the first equation by 5 (the coefficient of y in the second equation) and the second equation by 2 (the coefficient of y in the first equation):
5*(3x+2y) = 5*(-10)
2*(2x-5y) = 2*3
15x + 10y = -50
4x - 10y = 6
Add the two equations:
(15x + 10y) + (4x - 10y) = -50 + 6
19x = -44
Divide both sides by 19 to solve for x:
x = -44/19
x = -44/19
Now substitute x back into one of the original equations to solve for y:
3x + 2y = -10
3*(-44/19) + 2y = -10
Multiply 3 by -44/19:
-132/19 + 2y = -10
Now solve for y:
2y = -10 + 132/19
2y = (-190/19) + (132/19)
2y = -58/19
Divide by 2:
y = -58/38
y = -29/19
Therefore, the solution to the system of equations is x = -44/19 and y = -29/19.
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On a weekend class gathering at a museum, a teacher brings $50 to pay for museum
admission. She buys an adult ticket for $3.50 and 13 student tickets. Three students arrive late
so she buys 3 more student tickets. She has $18.50 left. Which equation can you use to find the
cost of a student ticket?
a. 13x + 3x = 50 - 18.50 c. 13x + 3.50 +3x = 50
b. 13x + 3.50 + 3x + 18.50 = 50 d. 3x = 3.50 + 13x
The equation used to find the cost of student ticket is:
[tex]13x + 3.50 + 3x + 18.50 = 50[/tex]
Solution:
Given that,
A teacher brings $50 to pay for museum admission
She buys an adult ticket for $3.50 and 13 student tickets
Cost of adult ticket = $ 3.50
Let "x" be the cost of each student ticket
Three students arrive late so she buys 3 more student tickets
She has $18.50 left
The equation used to find the cost of student ticket is:
Cost of adult ticket + 13 student tickets x cost of each student ticket + 3 student ticket x cost of each student ticket = 50 - 18.50
[tex]3.50 + 13x + 3x = 50-18.50\\\\13x + 3.50 + 3x + 18.50 = 50[/tex]
Thus the above equation is used
Find the measure for ∠XQL.
Answer: [tex]C)62\°[/tex]
Step-by-step explanation:
The missing picture is attached. And the missing options are: [tex]A) 58\°\\ B)60\°\\ C)62\°\\ D)64\°[/tex]For this exercise it is necessary to remember the definition of "Vertical angles".
Vertical angles are defined as those angles that are opposite to each other and share the same vertex. These angles are congruent, which means that they have equal measure.
You can identify in the picture that [tex]\angle XQL[/tex] and [tex]\angle MQR[/tex] are Vertical angles, then they are congruent.
Based on the above, you can set up the following equation:
[tex]-5b+82=-3b+74[/tex]
Now you must solve for "b" in order to find its value:
[tex]82-74=-3b+5b\\\\8=2b\\\\\frac{8}{2}=b\\\\b=4[/tex]
Finally, substituting the value of "b" into [tex]\angle XQL=-5b+82[/tex] and evaluating, you get:
[tex]\angle XQL=-5(4)+82\\\\\angle XQL=62\°[/tex]
A patient’s weight is recorded as 75 kilograms. How many pounds does the patient weigh? Round your answer to the nearest pound.
answer: about 165 lbs
to go from kilograms to pounds, you multiply by 2.205 to get the approximate answer.
75x2.205≈165
What is x in the following equation -3(-4x-3) = 20
Answer:
Step-by-step explanation:
-3(-4x-3) = 20
Opening bracket
12x + 9 = 20
12x = 20 - 9
12x = 11
x = 11/12
Divide using long division. [tex]\frac{-3x^5+11x^4+33x^3-26x^2-36x-6}{x^3+6x^2-3x-5}[/tex]
Answer:
Step-by-step explanation:
x³+6x²-3x-5)-3x⁵+11x⁴+33x³-26x²-36x-6(-3x²+29x-150
-3x⁵-18x⁴+9x³+15x²
-------------------------------
29x⁴+24x³-41x²-36x-6
29x⁴+174x³-87x²-145x
------------------------------------
-150x³+46x²+109x-6
-150x³-900x²+450x+750
--------------------------------------
946x²-341x -756
Therefore
-3x⁵+11x⁴+33x³-26x²-36x-6=(x³+6x²-3x-5)(-3x²+29x-150)+ 946x²-341x -756
if sin theta = cos theta then find the value of theta
Step-by-step explanation:
[tex] \because \sin \theta = \cos \theta \\ \\ \therefore \: \sin \theta = \sin(90 \degree - \theta) \\ \\ \therefore \: \theta = 90 \degree - \theta \\ \\ \therefore \: \theta + \theta= 90 \degree \\ \\ \therefore \: 2\theta = 90 \degree \\ \\\therefore \: \theta = \frac{90 \degree }{2} \\ \\ \huge \orange{\boxed{\therefore \: \theta = 45 \degree}}\\ \\[/tex]
Which is a simplified version of the following expression?
3y-[2y + 6( -2y +4 )]
Choice 1
13y + 24
Choice 2
13y - 24
Choice 3
- 13y + 24
Choice 4
-11y - 24
Answer:
choice 2 is correct
Which system of equations can you use to find the roots of the equation 2x3 + 4x2 – x + 5 = –3x2 + 4x + 9? y = 2x3 + x2 + 3x +5 y =9 y = 2x3 + x2 y = 3x + 14 y = 2x3 + 4x2 – x + 5 y = –3x2 + 4x + 9 From least to greatest, what are the roots of the polynomial equation?
Answer:
The answer is actually (-4, -0.5, 1) in order from least to greatest.
Step-by-step explanation:
A system of equation is a collection of more than one equation
The system of equations to determine the roots of [tex]2x^3 + 4x^2 - x + 5 = -3x^2 + 4x + 9[/tex] are [tex]y = 2x^3 + 4x^2 - x + 5[/tex] and [tex]y= -3x^2 + 4x + 9[/tex]The roots of the polynomial equation are -0.5 and 1The equation is given as:
[tex]2x^3 + 4x^2 - x + 5 = -3x^2 + 4x + 9[/tex]
Split the equation to a system of equations:
[tex]y = 2x^3 + 4x^2 - x + 5[/tex]
[tex]y= -3x^2 + 4x + 9[/tex]
So, the system of equations to determine the roots of [tex]2x^3 + 4x^2 - x + 5 = -3x^2 + 4x + 9[/tex] are [tex]y = 2x^3 + 4x^2 - x + 5[/tex] and [tex]y= -3x^2 + 4x + 9[/tex]
See attachment for the graphs of [tex]y = 2x^3 + 4x^2 - x + 5[/tex]
[tex]y= -3x^2 + 4x + 9[/tex]
The graphs of both functions intersect at x = -0.5, and x = 1
Hence, the roots of the polynomial equation are -0.5 and 1
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Which of these expressions shows a correct way to set up the slope formula for the line that passes through the points (3, 7) and (5, 7)?
A) 5 - 3/ 7 - 7
B) 3 - 5/ 7 - 7
C) 7 - 5/ 7 - 3
D) 7 - 7/ 5 - 3
The slope formula for the line that passes through the points (3, 7) and (5, 7) is (7-7)/ (5-3).
What is Slope?A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the
change in y coordinate with respect to the change in x coordinate as,
m = Δy/Δx where, m is the slope
We have points (3, 7) and (5, 7).
So, the slope of line passes through the given points
= ( 7 - 7) / (5-3)
= 0- 2
= 0
Thus, the slope formula is (7-7)/ (5-3).
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The correct expression for the slope between points (3, 7) and (5, 7) is D) 7 - 7/ 5 - 3, which equals 0, indicating a horizontal line.
To find the slope of a line passing through the points (3, 7) and (5, 7), we use the slope formula m = (y2 - y1) / (x2 - x1).
For the points (3, 7) and (5, 7), the correct way to set up the slope formula is: (7 - 7) / (5 - 3).
This simplifies to m = 0 / 2, which equals 0.
Therefore, the correct expression that shows the slope for the line that passes through the points (3, 7) and (5, 7) is D) 7 - 7/ 5 - 3.
Write 48/27 as a ratio in 3 different ways
Answer:
48 to 27
48:27
48/27
Answer:
[tex]16/9[/tex], [tex]1\frac{7}{9}[/tex] and [tex]1.78[/tex]
Step-by-step explanation:
The Given fraction is getting divided by 3 .
Simplifying the fraction
[tex]48/27\\= 16/9\\[/tex]
Or, This proper fraction can be written in mixed fraction
[tex]1\frac{7}{9}[/tex]
Where 1 is the quotient and 7 is the remainder on dividing.
This improper fraction can be reconverted to the proper fraction by
[tex](9*1)+7/7=16/7[/tex]
Also this fraction can be written in decimals by dividing it after the decimal that gives
[tex]16/9=1.78[/tex]
Plz help I'll mark brainliest.
Fill in the blanks:
For any line graphed on a coordinate plane, similar ___ prove that the slope of the line is the ___ same between any pair of points that lie on the line.
Choices for blank space 1:
circles
right triangles
squares
Choices for blank space 2:
Never
Sometimes
Always
Answer:
right triangles
always
Step-by-step explanation:
Similar triangles are obtained by rise/run
Since the ratio for all triangles are the same, they have the same slope.
Answer:right triangles
always
Step-by-step explanation:
Which expression is a factor of 12x2 + 29x - 8?
Answer:
Factors are: 3x+8 & 4x-1
Step-by-step explanation:
12x² + 29x - 8
12x² + 32x - 3x - 8
4x(3x + 8) -1(3x + 8)
(3x + 8)(4x-1)
Answer:
3x+8
Step-by-step explanation:
Yall know i be doing edg2020 to right?
Go to the link related to Brainly of course, and "answer" the question that's there, ok?
Mathematics question: https://brainly.com/question/14650018
Answer:
56:190
Step-by-step explanation:
That's the ratio?
I'm not sure what the question is asking.
Answer:
28:95
Step-by-step explanation:
if u have 56 apples to 190 candy bars, whats the ratio ?
the ratio of apples to candy bars = 56/190 which reduces to 28/95
so the ratio is 28:95 <===
As a project manager, you need to plan production runs over the next 312 weeks. If your team is able to produce 1250 widgets in one week, how many widgets can they produce in 312 weeks?
Answer:
390, 000
Step-by-step explanation:
For every week, 1250 widgets is produced in one week
For 312 weeks, the number of widgets will be
312* 1250 = 390, 000
Answer:
Step-by-step explanation:
1250*3.5=4375
Loc weighs 14 pounds. The HCP prescribes an IV infusion of 5% dextrose in 1/4 normal saline to be infused at 8mL/kg/hr. How many mL of the prescribed solution should the nurse infuse each hour?
To infuse the prescribed solution each hour, the nurse should administer 51 mL.
Explanation:To calculate the amount of solution that should be infused each hour, we first need to calculate the weight of the patient in kilograms. We can do this by converting the weight from pounds to kilograms using the conversion factor of 0.4536 kg/pound. So, the weight of the patient in kilograms is 14 pounds x 0.4536 kg/pound = 6.3504 kg. Next, we multiply the weight in kilograms by the infusion rate of 8 mL/kg/hr to find the total volume of solution to be infused each hour. Thus, the nurse should infuse 6.3504 kg x 8 mL/kg/hr = 50.8032 mL, which can be rounded to 51 mL each hour.
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Ross drives 210 miles in 3 hours. If Ross continues to drive at the same rate, how many miles can he drive in 9 hours?
Answer:
630 miles :)
Step-by-step explanation:
Answer:
630 miles
Step-by-step explanation:
3 hours times 3 = 9 hours
210 miles times 3 = 630 miles
A line has a slope of 9 and passes through the point (4,7). What is its equation in point-slope form?
Answer:
Y = 9X-29
Step-by-step explanation:
y = mx + b
P1 : ( 4 , 7 )
m = 9
using equation of line ,
y = mx + b
7 = ( 9 ) (4 ) + b
7 - 36 = b
b = -29 ,
hence equation of line is ,
y = 9x - 29 answer
Answer:
y - 7 = 9(x - 4)
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
Here m = 9 and (a, b) = (4, 7), thus
y - 7 = 9(x - 4) ← equation in point- slope form