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3 years ago

Q

Mathematics

1 answer:

Tema [17]3 years ago

4 0

Answer:

$y = \frac{1}{2} x+7$

Step-by-step explanation:

Slope-intercept form: y = mx + b

Slope formula: $\frac{y2-y1}{x2-x1}$

Given points: (-6, 4), (6, 10)

(-6, 4) = (x1, y1)

(6, 10) = (x2, y2)

To write the equation in slope-intercept form, we need to find the slope(m) and the y-intercept(b) of the equation.

First, let's find the slope. To do this, input the given points into the slope formula:

$\frac{10-4}{6-(-6)}$

Simplify:

10 - 4 = 6

6 - (-6) = 6 + 6 = 12

$\frac{6}{12}=\frac{1}{2}$

The slope is $\frac{1}{2}$ .

To find the y-intercept, input the slope and one of the given points(in this example I'll use point (6, 10)) into the equation and solve for b:

$10 = \frac{1}{2}(6)+b$

10 = 3 + b

7 = b

The y-intercept is 7.

Now that we know the slope and the y-intercept, we can write the equation:

$y = \frac{1}{2} x+7$

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Given the following coordinates complete the reflection transformation.

Minchanka [31]

Answer:

see explanation

Step-by-step explanation:

Under a reflection in the x- axis

a point (x, y ) → (x, - y ) , then

A (- 1, - 5 ) → A' (- 1, 5 )

B (2, - 3 ) → B' (2, 3 )

C (3, - 5 ) → C' (3, 5 )

Under a reflection in the y- axis

a point (x, y ) → (- x, y ) , then

A' (- 1, 5 ) → A'' (1, 5 )

B' (2, 3 ) → B'' (- 2, 3 )

C' (3, 5 ) → C'' ( - 3, 5 )

4 0

2 years ago

Help solving one more question please!Mason spent $15.85 for 3 notebooks and 2 boxes of markers.The boxes of markers cost $3.95

inn [45]

Each notebook would be 68 cents because if you divide 15.85 into 3 you will get 2 cents then you add 1.23 then subtract .75

7 0

3 years ago

Karin is cutting a rectangular canvas fora painting she plans to do. she wants thecanvas to havean areaof 144 square inches. she

Bezzdna [24]

Not sure what dimensions means but this is what I got out of it , hope it helps !

6 0

3 years ago

Help! what is the surface area of the prism? 128in^2, 768in^2, 384in^2, or 480in^2

Nimfa-mama [501]

Option C: $384 \ in^2$ is the surface area of the prism

Explanation:

Given figure is a triangular prism.

We need to determine the surface area of the triangular prism.

The formula to find the surface area of the triangular prism is given by

$S A=b h+(s 1+s 2+s 3) H$

where b is the base of the triangle,

h is the height of the triangle,

$s1,s2,s3$ are the three sides of the triangle and

H is the height of the prism.

Let us substitute the values $b=16$ , $h=6$ , $s1=16$ , $s2=10$ , $s3=10$ and $H=8$ in the formula, we get,

$SA=16(6)+(16+10+10)(8)$

Simplifying, we get,

$SA=96+(36)(8)$

Multiplying the term, we get,

$SA=96+288$

Adding the terms, we have,

$SA=384 \ in^2$

Thus, the surface area of the prism is $384 \ in^2$

Hence, Option C is the correct answer.

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3 years ago

Mrs. Jones is building wooden picture frames. She has 1 5/8 of wood and needs 3/4 for each frame. How many frames can she make w

jonny [76]

Answer:

$2\frac{1}{6}\ frames$

Step-by-step explanation:

we know that

To find out how many frames she can make with the exiting material, divide 1 5/8 by 3/4

$1\frac{5}{8}:\frac{3}{4}$

Convert mixed number to an improper fraction

$1\frac{5}{8}=\frac{1*8+5}{8}=\frac{13}{8}$

substitute

$\frac{13}{8}:\frac{3}{4}=\frac{52}{24}\ frames$

Simplify

$\frac{13}{6}\ frames$

Convert to mixed number

$\frac{13}{6}\ frames=\frac{12}{6}+\frac{1}{6}=2\frac{1}{6}\ frames$

6 0

3 years ago