MATHEMATICS HIGH SCHOOL

What value of x makes the equation true? 3x+21=8x-4

Answers

Answer 1
Answer:

Answer:

x=5  

Step-by-step explanation:

3 times 5= 15

15+21= 36

8 times 5 = 40

40-4=36
Answer 2
Answer: 3x+21=8x-4
3x-8+21=-4
3x-8x=-4-21
-5x=-4-21
-5x=-25
x=5

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What percent of 62 is 31

Answers


Umm. I assume you mean "If I have 31 out of 62 what percent of 62 do I have." The answer is 50%.
31*2=62 so that means that 62 is 200% of 31

Write the equation of the line that fits the given conditions. 14. Parallel to 3x-2y=10 and passes through the point (2,2), Write in standard form and slope-intercept form.

Answers

Answer:

Step-by-step explanation:

Since the lines are parallel to each other that means they have the same gradient. So use the gradient formula y=mx+c where m is the gradient rearrange 3x-2y=10 using the formula to become -2y=-3x +10

divide both sides by -2 so that m=1.5. It passed through the point (2,2) use the equation of a line formula to find the the answer.

[{y - 2}/{x -2}=1.5

cross multiply to get 1.5x-y=1

hope that helps

Final answer:

The equation of the line parallel to 3x - 2y = 10 and passes through the point (2,2) is y = 1.5x -1 in slope-intercept form, and 3x - 2y = -2 in standard form.

Explanation:

First, we must find the slope of the line parallel to the given line 3x - 2y = 10. The slope of this line, written in the form ax + by = c, is -a/b, so the slope is -3/(-2) = 1.5. The equation of the line we want to find has this same slope. This is because parallel lines have the same slope.

To find our line, we use the point-slope form of an equation y - y1 = m(x - x1), where m is the slope and (x1, y1) is the point the line passes through. Plugging in given point (2,2) and the slope 1.5, the equation becomes y - 2 = 1.5(x - 2). Simplifying it, we get y - 2 = 1.5x - 3. Adding 2 to both sides gives our line in slope-intercept form: y = 1.5x -1.

To express the equation in standard form, we manipulate the equation to be in the form Ax + By = C. Multiplying the equation by 2 to remove fractions gives us y * 2 = x * 3 - 2, so the line in standard form is 3x - 2y = -2.

Learn more about Line Equations here:

brainly.com/question/35492661

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Someone help me with this proof please ​

Answers

Answer:

the first statement is: AB is congruent to DC.

reason: given

Step-by-step explanation:

im not sure about the others

A rope.Measure 60cm was divided into 2 groups . 1 was used to make a rectangle of length 12cm and breadth 6cm. And the other was used to make a hexagon . What is the size of the hexagon in each side

Answers

Answer:

4cm

Step-by-step explanation:

Firstly, we need to know the perimeter of the rectangle so as to know the length used to make the rectangle. This is 2(l + b)

P = 2(12 + 6) = 2(18) = 36cm

The length remaining to make the hexagon would be 60 - 36 = 24cm

Now since the hexagon is regular, the length of each side would be 24/6 = 4cm

Note: hexagon is a polygon with 6 sides

Ian walks 4 1 2 miles everyday. how many miles does ian walk in 4 1 2 days
btb it fractions

Answers


is it four hundred twelve or 4.12

Polygon ABCD will be dilated by a scale factor of 2.2 with the origin as the center of dilation, resulting in the image A′B′C′D′. What will the slope and length of C'D' be?

Answers

The answer is A. m = undefined, C'D' = 13.2 units. When you dilate both C and D with the scale factor 2.2 with the origin as the center of dilation, their coordinates respectively become the following:C' (22, 13.2) and D (22,26.4)
The difference between 26.4 and 13.2 is 13.2. The slope is undefined since it is s vertical line. 

Hope i helped

Answer:

undefined, 13.2

Step-by-step explanation:

got it right.
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