M=-4 and the y-intercept is 3

Answer:

Step-by-step explanation:

20

Answer:

Scale factor = 5:8

Step-by-step explanation:

Step 1:  Write out as a scale

10cm : 16cm

Step 2:  Simplify

10 / 2 : 16 / 2

5:8

Answer:  Scale factor = 5:8

Answer:

c) 2/5

Step-by-step explanation:

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Final answer:

The choice that is NOT equal to the others is C) 2/5, because it is the only positive fraction, while the others represent the negative fraction − 2/5.

Explanation:

The student's question asks which of the given choices is NOT equal to the others. The choices provided include A) − 2/5, B) − 2/5, C) 2/5, and D) 2/ −5. To find the answer, we must compare the values.

Options A and B are the same, which is − 2/5 or negative two-fifths. Option D, which is 2/−5, simplifies to − 2/5 because division by a negative number yields a negative result, making it equivalent to options A and B. However, option C is the only one that is different because it is 2/5, which is positive two-fifths, not negative. Therefore, the answer is C) 2/5 as it is not equal to the other options, which are all negative two-fifths.

Length of base of isosceles triangle, x = 7

Step-by-step explanation:

Length of one leg = 3x - 4. Since two sides, other than the base of an isosceles triangle are equal, the length of the other leg = 3x - 4.

⇒ 41 = x + (3x - 4) + (3x - 4) = x + 2(3x - 4)

⇒ 41 = x + 6x - 8

⇒ 41 = 7x - 8

⇒ 49 = 7x

⇒ x = 7

Answer:

7

Step-by-step explanation:

The ordered pair is (-2, -3)

Step-by-step explanation:

(-3, -2) ⇒ 7 × -3 - 5 × -2 = -21 + 10 = -11 ≠ 1

(-2, -3) ⇒ 7 × -2 - 5 × -3 = -14 + 15 = 1

(0, 4) ⇒ 0 - 5 × 4 = 20 ≠ 1

(4, 0) ⇒ 7 × 4 - 0 = 28 ≠ 1

So the ordered pair is (-2, -3)

The ordered pair that is a solution to the equation 7x-5y=1 is option B, (-2,-3), as it is the only pair that satisfies the equation when the values are substituted.

The question asks which ordered pair is a solution to the equation 7x-5y=1. To find the solution, we simply substitute the x and y values from each ordered pair into the equation and see which pair satisfies the equation.

So, the ordered pair that is a solution to the equation is option B, (-2,-3).

Answer:

The reaction ca occur at 10 degree Celsius or -14 degree Celsius.                                          

Step-by-step explanation:

We are given the following in the question:

The completion of a chemical reaction is expressed by the equation

[tex]y = 300 - 4x -x^2[/tex]

where y is  the number of seconds needed to complete the reaction and x is the temperature in degrees Celsius  at which the reaction occurs.

We have to find the temperature at which the reaction occurs, if the completion time of reaction is 160 seconds.

Putting y = 160

[tex]160 = 300 - 4x -x^2\\x^2 + 4x - 140 = 0\\x^2 + 14x -10x -140 = 0\\x(x+14)-10(x+14)=0\\(x-10)(x+14) = 0\\(x-10) =0, (x+14) =0\\x = 10, x = -14[/tex]

Thus, the reaction ca occur at 10 degree Celsius or -14 degree Celsius.

Answer:

X=7

Y=10

Step-by-step explanation:

Replace expression Y=2x-4 in 17x + 36y = 479

Now, replace X=7 in expression Y=2x-4

Answer:

3x + 7y = 21

Step-by-step explanation:

We have value of two points (0,3) and (7,0)

First, let's find the slope of this line. The formula for slope is:

Change in y/Change in x or (y₂ - y₁)/(x₂-x₁)

Where x₁ = 0 x₂= 7 y₁ = 3 y₂ = 0

(y₂ - y₁)/(x₂-x₁)

= (0-3)/(7-0)

=-3/7

Now we can write the equation in point-slope form:

y-y₁ = m(x-x₁)

y - 3 = -3/7(x-0)

y-3=-3x/7

y=-3x/7 + 3

Now let's convert this to standard form, by making the y-intercept by itself:

Ax + By = C

y=-3x/7 + 3

Multiply through by 7

7(y) = 7(-3x/7) + 7(3)

7y = -3x + 21

3x + 7y = 21

Answer:

58.5%

Step-by-step explanation:

Sales tax in Ontario = 13%

If you paid $450 on food

Tax = 13%/100% x 450

= 0.13 x 450

=58.5%

Answer:

Step-by-step explanation:

Answer:

28)  B

33)  D

Step-by-step explanation:

28)   Numbers on the dice

1, 2, 3, 4, 5, 6

Numbers greater than 4

5, 6

There are 2 possibilities of rolling a number greater than 4 on the cube

2 numbers greater than 4 / Total amount of numbers

2/6 = 1/3

There is a 1/3 chance of rolling a number greater than 4

If the cube is tossed 120 times, about 1/3 of the time the number will be greater than 4

120 (1/3) = 120/1 * 1/3  = 120/3 = 40

The best estimate is 40 times, B

33)

These are all of the possibilities:

W - shaded

W - unshaded

X - shaded

X - unshaded

Y - shaded

Y - unshaded

Z - shaded

Z - unshaded

The answer that corresponds with all of these possibilities is D

Hope this helps :)

Answer:

See explanation

Step-by-step explanation:

PQRS is a parallelogram, then

[tex]PQ\parallel RS\\ \\QR\parallel SP[/tex]

and

[tex]PQ\cong RS\\ \\QR\cong SP[/tex]

Also

[tex]\angle P\cong \angle R\\ \\\angle Q\cong \angle S[/tex]

1. Consider triangles PQA and RQA, where A is the diagonals intersection point. In these triangles,

[tex]QA\cong QA\ [\text{Reflexive property}][/tex]

[tex]\angle PQA\cong \angle RQA\ [\text{Because QS is angle bisector}][/tex]

[tex]\angle QPA\cong \angle QRA\ [\text{Diagonal PR divides congruent angles in congruent halves}][/tex]

Hence, by AAS postulate triangles PQA and RQA are congruent. Congruent triangles have congruent corresponding parts, so

[tex]PQ\cong RQ[/tex]

2. Consider triangles PSA and RSA. In these triangles

[tex]SA\cong SA\ [\text{Reflexive property}][/tex]

[tex]\angle PSA\cong \angle RSA\ [\text{Because QS is angle bisector}][/tex]

[tex]\angle SPA\cong \angle SRA\ [\text{Diagonal PR divides congruent angles in congruent halves}][/tex]

Hence, by AAS postulate triangles PSA and RSA are congruent. Congruent triangles have congruent corresponding parts, so

[tex]PS\cong RS[/tex]

3. Since [tex]PQ\cong RS[/tex] and [tex]PQ\cong RQ[/tex], you have [tex]RS\cong RQ[/tex]

Therefore,

[tex]PQ\cong QR\cong RS\cong SP[/tex]

Parallelogram with all congruent sides ia a rhombus.

Answer:

(x + 4)² + (y + 5)² = 73

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

here (h, k) = (- 4, - 5), thus

(x - (- 4))² + (y - (- 5))² = r², that is

(x + 4)² + (y + 5)² = r²

The radius is the distance from the centre to a point on the circle.

Calculate r using the distance formula

r = √ (x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = (- 4, - 5) and (x₂, y₂ ) = (4, - 2)

r = [tex]\sqrt{(4+4)^2+(-2+5)^2}[/tex]

  = [tex]\sqrt{8^2+3^2}[/tex]

 = [tex]\sqrt{64+9}[/tex] = [tex]\sqrt{73}[/tex] ⇒ r² = 73, thus

(x + 4)² + (y + 5)² = 73 ← equation of circle

Answer: [tex](x+4)^{2} +(y+5)^{2} = 73[/tex]

Step-by-step explanation:

the formula for finding equation of circle is given as :

[tex](x-a)^{2}+(y-b)^{2} = r^{2}[/tex]

where ( a,b) is the coordinate of the center and r is the radius

The radius is the distance between the point and the center , the formula for calculating the distance between two points is given by :

d = [tex]\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}[/tex]

d = [tex]\sqrt{(4-(-4))^{2}+(-2-(-5))^{2}}[/tex]

[tex]d = \sqrt{(4+4)^{2}+(-2+5)^{2}}[/tex]

[tex]d = \sqrt{8^{2}+3^{2}}[/tex]

[tex]d = \sqrt{73}[/tex]

since "r" is the distance , then

[tex]r = \sqrt{73}[/tex]

The the equation of the circle , using the formula [tex](x-a)^{2}+(y-b)^{2} = r^{2}[/tex] , will be

[tex](x+4)^{2} +(y+5)^{2} = 73[/tex]

Answer:

399

Step-by-step explanation:

2([tex]\frac{2}{5}[/tex]x + 4) =  [tex]\frac{4}{5}[/tex]x + 4 which is the second option is the equivalent expression.

Explanation:

First,  we need to calculate the value of two-fifths of x. It means 2 portions out of the five portions of x which equates to [tex]\frac{2}{5}[/tex]x.

Now we calculate the values of the two expresssions on the LHS.

1) 2 (two-fifths x + 2) = 2 ([tex]\frac{2}{5}[/tex]x + 2) = [tex]\frac{4}{5}[/tex]x + 4.

2)  (two-fifths x + 4) = 2([tex]\frac{2}{5}[/tex]x + 4) =  [tex]\frac{4}{5}[/tex]x + 8.

Now we determine values of the four expressions on the RHS.

1) Two and two-fifths x + 1 = 2[tex]\frac{2}{5}[/tex]x + 1

2) Four-fifths x + 4 = [tex]\frac{4}{5}[/tex]x + 4

3) Four-fifths x + 2 = [tex]\frac{4}{5}[/tex]x + 2

4) Two and two-fifths x + 8 = 2[tex]\frac{2}{5}[/tex]x + 8.

Out of the various LHS and RHS values, the [tex]1^{st}[/tex] LHS value and [tex]2^{nd}[/tex] RHS value is the same. So option 2 is the answer.

Answer:

second option

Step-by-step explanation:

None of the given points are solutions to the inequality.

To determine which of the given points is a solution to the inequality y > 1/2x + 2, you need to substitute the coordinates of each point into the inequality and check if the inequality holds true.

Let's start with point (1, 4):

4 > 1/2 * 1 + 2

4 > 1/2 + 2

4 > 2.5 + 2

4 > 4.5

The inequality does not hold, so point (1, 4) is not a solution to the inequality.

Now, let's try point (-1, 1):

1 > 1/2 * -1 + 2

1 > -1/2 + 2

1 > 1.5

The inequality does not hold, so point (-1, 1) is not a solution to the inequality.

Similarly, checking for points (2, 3) and (0, 2), we find that neither of them satisfy the inequality.

Therefore, none of the given points, (1, 4), (-1, 1), (2, 3), or (0, 2), are solutions to the inequality y > 1/2x + 2.

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Answer:

Step-by-step explanation:

let P represent the perimeter of the rectangle

P = 2×(12 + 18) = 2×(30) = 60 m

then

the number of shrubs = 3×(60) = 180

Answer:  The Area of this shape is 32.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Area = 1/2 ×(a+b)h

a = 4, b = 12, h = 4

Area = 1/2 × (4+12)4

Area = 2(16)

Area = 32square unit

Answer:

Emma = 378 votes

Step-by-step explanation:

Carol = 189 votes

Emma = 2 * Carol

Substitute 189 in for Carol

Emma = 2 * 189

Emma = 378 votes

Hope this helps :)

Answer:

378

Step-by-step explanation:

you just had to multiply 189 by 2. Since twice means 2

Answer:

12

Step-by-step explanation:

The given geometric series is

[tex] \sum_{n = 1}^{ \infty} 12( { - \frac{1}{9} })^{n - 1} [/tex]

We want to determine the first term of this geometric series.

Recall that the explicit formula is

[tex] a_{n} = 12( { - \frac{1}{9} })^{n - 1} [/tex]

To find the first term, we put n=1 to get:

[tex]a_{1} = 12( { - \frac{1}{9} })^{1 - 1} [/tex]

This gives us:

[tex]a_{1} = 12( { - \frac{1}{9} })^{0}[/tex]

[tex]a_{1} = 12(1) = 12[/tex]

Therefore the first term is 12

Answer:

12

Step-by-step explanation:

The last option, C is the answer. I just took the quiz :D

a) So we know the formula of finding the circumference: 2*pi*R.

Assuming we make pi = 3.14:     2 * 3.14 * 7 = 43.96.

b) We also know the formula of finding the area: pi * r^2.

3.14 * 7^2. Using PEMDAS:

3.14 * 49 = 153.86

Answer:

B.)

87.92 feet

Step-by-step explanation:

Given:

Area of the circular garden [tex]= 615.44 ft^2[/tex]

      [tex]\pi =3.14[/tex]

 Finding the radius of the circle.

Area of the circle= [tex]\pi r^2[/tex]

          [tex]615.44=\pi *r^2[/tex]

             [tex]r^2=\frac{615.44}{\pi } \\\\r^2=\frac{615.44}{3.14} \\r^2=196\\r=14 ft.[/tex]

Circumference of the garden:

                                           [tex]=2\pi r\\=2*3.14*14\\=87.92ft.[/tex]

The response to the riddle " why did the school cook become a history teacher" is  she was a expert in Acient grease

What is the riddle?

The riddle is based on history, and it should be noted that in term of history, ancient grease can not be underestimated because they have been existing since time past.

The city-states of ancient Greece were autonomous, however occasionally some would join alliances and hegemonies and serve a more powerful city. Greece was merely a small component of Alexander the Great's empire when it was founded—albeit for a very short time.

The solutions to the quadratic equation 2x^2 - 8x + 7 = 0 are x = 2 + √2 / 2 and x = 2 - √2 / 2 using the quadratic formula.

To solve the equation 2x2 - 8x + 7 = 0, we will use the quadratic formula, where 'x' equals minus 'b', plus-or-minus the square root of 'b' squared minus four 'a' 'c', all over two 'a'. The coefficients in this case are a = 2, b = -8, and c = 7.

First, we calculate the discriminant, which is b2 - 4ac. Substituting our values we get:

(-8)2 - 4(2)(7) = 64 - 56 = 8.

The square root of 8 can be simplified to 2√2, because 8 = 4 × 2 and √4 = 2.

Finally, we substitute the values into the quadratic formula:

x = (-(-8) ± √8) / (2 × 2)

x = (8 ± 2√2) / 4

Dividing each term by 4 gives us:

x = 2 ± √2 / 2

Therefore, the solutions to the equation are:

x = 2 + √2 / 2 and x = 2 - √2 / 2

Answer:

$99.10

Step-by-step explanation:

Answer:

$99.10

Step-by-step explanation:

you would divide the $148.65 by the 3 days and get $49.55. then you would multiply that by the 2 and get your awnser.

Answer:

d

Step-by-step explanation:

Step-by-step explanation:

[tex]area \: of \: sector = \frac{ \theta}{360 \degree} \times \pi {r}^{2} \\ \\ = \frac{110\degree}{360\degree} \times 3.14 \times {(16)}^{2} \\ \\ = \frac{110\degree}{360\degree} \times 3.14 \times 256 \\ \\ = \frac{88,422.4}{360} \\ \\ = 245.617778 \\ \\ \approx245.62 \: {in}^{2} [/tex]

Step-by-step explanation:

We have,

f(x) = (x + 9)(x − 4)(6x + 1)

To find, all zeroes of the given equation = ?

∴ f(x) = (x + 9)(x − 4)(6x + 1)

⇒ (x + 9)(x − 4)(6x + 1) = 0

⇒ x + 9 = 0 or, x − 4 = 0 or, 6x + 1 = 0

⇒ x + 9 = 0 ⇒  x = - 9

⇒ x − 4 = 0 ⇒ x = 4

⇒ 6x + 1 = 0

⇒ 6x = - 1

⇒ x = [tex]\dfrac{-1}{6}[/tex]

∴ x = - 9 , [tex]\dfrac{-1}{6}[/tex], 4

Thus, the required 'option a)  - 9 , [tex]\dfrac{-1}{6}[/tex], 4' is correct.

Final answer:

To find the zeros of the function f(x) = (x + 9)(x − 4)(6x + 1), we solve for x in each factor: x = -9, x = 4, and x = -1/6, which means the zeros are -9, 4, and -1/6.

Explanation:

To identify the zeros of a function, you need to find the values of x for which the whole expression equals zero. The function given is f(x) = (x + 9)(x − 4)(6x + 1). To find the zeros, we set each factor equal to zero and solve for x.

(x + 9) = 0 → x = -9

(x − 4) = 0 → x = 4

(6x + 1) = 0 → 6x = -1 → x = -1/6

Therefore, the zeros of the function are -9, 4, and -1/6.

Answer: the answe is b

Step-by-step explanation:

The left side of the data looks similar to the right side in the seventh-grade data, but not in the fifth-grade data.

A dot plot is a method of visually representing expectations for some data series. A dot plot visually groups the number of data points in a data set based on the value of each point.

2 dot plots with number lines going from 0 to 10.

A dot plot titled fifth grade has 0 dots above 0, 2 above 1, 3 above 2, 1 above 3, 4 above 4, 5 above 5, 5 above 6, 2 above 7, 2 above 8, and 0 and 9 and 10.

A dot plot titled seventh grade has 2 dots above 0, 2 above 1, 3 above 2, 5 above 3, 5 above 4, 3 above 5, 3 above 6, 1 above 7, and 0 above 8, 9, and 10.

statement correctly compares the shape of the data in the plots

The left side of the data looks similar to the right side in the seventh-grade data, but not in the fifth-grade data.

Learn more about dotplot:

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To find the length of the rectangle, use the given information about the width and perimeter. Solve the equations to find the values of the variables and determine the length of the rectangle.

To find the length of the rectangle, we can use the information given in the problem. Let's let the width be represented by W and the length be represented by L. We are told that the length is 26 feet more than the width, so we can write the equation L = W + 26. We are also given that the perimeter of the rectangle is 60 feet, so we can write the equation 60 = 2(W + L). We can substitute the value of L from the first equation into the second equation to solve for W. After finding the value of W, we can substitute it back into the first equation to find the value of L.

Let's start with the first equation: L = W + 26. Since we have an equation with two variables, we'll need to use the second equation to solve for the variables. Let's substitute the value of L in the second equation: 60 = 2(W + (W + 26)). We can simplify this equation by combining like terms: 60 = 2(2W + 26). We can distribute the 2 to the terms inside the parentheses: 60 = 4W + 52. We can then subtract 52 from both sides of the equation: 8 = 4W. Finally, we can divide both sides of the equation by 4 to solve for W: W = 2.

Now that we have the value of W, we can substitute it back into the first equation L = W + 26. This gives us: L = 2 + 26. We can simplify this equation to find that L = 28.