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Katyanochek1 [597]
3 years ago
8

How do you solve the equation

3(x+8)=17" align="absmiddle" class="latex-formula">3(x+8)=17
Mathematics
1 answer:
trapecia [35]3 years ago
3 0
3(x + 8) = 17....distribute the 3 thru the parenthesis
3x + 24 = 17...subtract 24 from both sides
3x = 17 - 24
3x = -7...divide both sides by 3
x = -7/3 or -2 1/3 <===
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The horizontal line segment at the top of the polygon on the grid below is how many units long?​
Ymorist [56]

Answer:

6 units long.

Step-by-step explanation:

Given:

A polygon drawn on a graph.

In order to determine the distance of the horizontal line at the top, we find the coordinates of the end points and then use distance formula to find the exact distance.

Let us label the polygon as ABCD as shown below. AB is the length of the horizontal line.

Coordinates of A are (x_1,y_1)=(-3, 4) as seen in the graph.

Coordinates of B are (x_2,y_2)=( 3, 4) as seen in the graph.

Now, distance formula  for two points (x_1,y_1)\ and\ (x_2,y_2) is:

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\d_{AB}=\sqrt{(3-(-3))^2+(4-4)^2}\\d_{AB}=\sqrt{(3+3)^2+0}\\d_{AB}=\sqrt{36}=6\ units

Therefore, the horizontal line at the top is 6 units long.

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Write an equation that represents the line passing through the point -3, -1 with a slope of 4
Alex17521 [72]

Answer:

Equation that represents the line passing through the point -3, -1 with a slope of 4 is

y= 4x+11

Step-by-step explanation:

Equation of line in point slope form is

y-y_1=m(x-x_1) -------(1)

Here

m=4 \ \ \ and \ \ \ (x_1, y_1) = (-3, -1)

Substituting values in equation (1)

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What is The area of a parallelogram with a length of 7 cm and a with of 2 cm
yawa3891 [41]

Answer:

14cm^2

Step-by-step explanation:

\text {Formula for area of a parallelogram: } A=l*h\\\text {l is the length. h is the height.}

l = 7

h = 2

7 * 2 =14\\\boxed {\text {The area of the parallelogram should be 14cm squared.}}

<em>Brainiest Appreciated!</em>

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