All categories

3 years ago

What is the area of the figure below please explain!

Mathematics

1 answer:

jeyben [28]3 years ago

4 0

I don't know the area of a parallelogram off the top of my head but you can use the area of the rectangle and the area of the triangle and add those. The area of the triangle is 1/2*base*height and use the pythagorean theorem to find the base. 3² + b² = 5²; 9 + b² = 25; b² = 16; b = 4. The area of the triangle is 1/2*4*3 or 6 in. Since there are two of them, the total area of the triangles are 12 in. The area of the rectangle is length*width or (12 - 4) * 3 which is 8 * 3 or 24in. Add these areas together to get 36in total

You might be interested in

Help me answer the question pleaseee!!!

vfiekz [6]

Option A,B,C,D,F are False

Option E is True

Step-by-step explanation:

Finding graphs of the equation: y= -4x+6

Checking all the options.

A) (-4,-10)

Plugging value of x as -4 and y as -10

-10=(-4)(-4)+6

-10 = 16+6

-10 ≠ 22

So, both sides of the equation will not be equal.

B) (-4,-22)

Plugging value of x as -4 and y as -22

-22=(-4)(-4)+6

-22=16+6

-22 ≠ 22

So, both sides of the equation will not be equal.

C) (1,10)

Plugging value of x as 1 and y as 10

10=(-4)(1)+6

10 = -4+6

10 ≠ 2

So, both sides of the equation will not be equal.

D) (1,-2)

Plugging value of x as 1 and y as -2

-2=(-4)(1)+6

-2 = -4+6

-2 ≠ 2

So, both sides of the equation will not be equal.

E) (4,-10)

Plugging value of x as 4 and y as -10

-10=(-4)(4)+6

-10 = -16+6

-10 = -10

So, both sides of the equation will be equal.

F) (4,-22)

Plugging value of x as 4 and y as -22

-22=(-4)(4)+6

-22 = -16+6

-22 ≠ -10

So, both sides of the equation will not be equal.

So, Option A,B,C,D,F are False

Option E is True

Keywords: Graph of equations

Learn more about Graph of equations at:

#learnwithBrainly

3 0

3 years ago

(4.61×10^4)-(2.75×10^4)

Yanka [14]

(46100)-(27500)=18600

6 0

3 years ago

What is the length x of PQ

Bas_tet [7]

Answer:

11.2

Step-by-step explanation:

If the rectangulars are similar then we can use similarity ratio to calculate value of x

CD is similar to RS and AB is similar to QP

4/6.4 = 7/x cross multiply expressions

4x = 44.8 divide both sides by 4

x = 11.2

6 0

2 years ago

On a coordinate plane, a line goes through (negative 12, negative 2) and (0, negative 4). A point is at (0, 6).

mariarad [96]

Point (-12 , 8) is on the line that passes through (0, 6) and is parallel to the given line ⇒ 1st

Step-by-step explanation:

Parallel lines have:

Same slopes
Different y-intercepts

The formula of the slope of a line which passes through points $(x_{1},y_{1})$ and $(x_{1},y_{1})$ is $m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

∵ The given line passes through points (-12 , -2) and (0 , -4)

∴ $x_{1}$ = -12 , $x_{2}$ = 0

∴ $y_{1}$ = -2 , $y_{2}$ = -4

- Use the formula of the slope above to find the slope of the given line

∵ $m=\frac{-4-(-2)}{0-(-12)}=\frac{-4+2}{12}=\frac{-2}{12}=\frac{-1}{6}$

∴ The slope of the given line is $\frac{-1}{6}$

∵ The two lines are parallel

∴ Their slopes are equal

∴ The slope of the parallel line = $\frac{-1}{6}$

∵ The parallel line passes through point (0 , 6)

- The form of the linear equation is y = mx + b, where m is the slope

and b is the y-intercept (y when x = 0)

∵ m = $\frac{-1}{6}$ and b = 6

∴ The equation of the parallel line is y = $\frac{-1}{6}$ x + 6

Let us check which point is on the line by substitute the x in the equation by the x-coordinate of each point to find y, if y is equal the y-coordinate of the point, then the point is on the line

Point (-12 , 8)

∵ x = -12 and y = 8

∵ y = $\frac{-1}{6}$ (-12) + 6

∴ y = 2 + 6 = 8

- The value of y is equal the y-coordinate of the point

∴ Point (-12 , 8) is on the line

Point (-12 , 8) is on the line that passes through (0, 6) and is parallel to the given line

Learn more:

You can learn more about the equations of parallel lines in brainly.com/question/9527422

#LearnwithBrainly

4 0

3 years ago

Read 2 more answers

Which of the following is most likely the next step in the series

Anna35 [415]

Answer:

bbbbbbbbbbbbbbbbbbbbbbbbb

8 0

2 years ago

Read 2 more answers