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4 years ago

Which of the following expressions is the inverse of the function y = 3x + 4?

Mathematics

1 answer:

ipn [44]4 years ago

6 0

Go to math way.com it is really helpful

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If DH=4x-2 and FH=x+28, find the value of x for which DEFG must be a parallelogram.

Mnenie [13.5K]

Given that DH=4x-2 and FH=x+28, the value of x which will make DEFG a parallelogram will be given as follows;
4x-2=x+28
4x-x=28+2
3x=30
thus
x=30/3
x=10
The answer is C] 10

8 0

3 years ago

What must be the sides of an equilateral triangle so that it's area should be equal to the area of an isosceles triangle with ba

d1i1m1o1n [39]

Answer:

The sides of the equilateral triangle are 11.7 m.

Step-by-step explanation:

Let's find the area of the isosceles triangle:

$A_{i} = \frac{bh}{2}$

Where:

b: is the base = 12 m

h: is the height

We can find the height by using Pitagoras:

$x^{2} = \frac{b^{2}}{2} + h^{2}$

Where:

x is the hypotenuse = side of the triangle = 10 m

$h = \sqrt{x^{2} - \frac{b^{2}}{2}} = \sqrt{(10)^{2} - 6^{2}} = 8 m$

Then, the area is:

$A_{i} = \frac{12*8}{2} = 48 m^{2}$

Now, since the area of the isosceles triangle is equal to the area of the equilateral triangle:

$A_{e} = A_{i} = 48 m^{2}$

$A_{e} = \frac{bh}{2}$

The height of the equilateral triangle is given by:

$b^{2} = \frac{b^{2}}{2} + h^{2}$

$h = \sqrt{b^{2} - \frac{b^{2}}{2}} = \frac{b}{\sqrt{2}}$

Hence, the sides are:

$A_{e} = \frac{1}{2}b\frac{b}{\sqrt{2}} = \frac{b^{2}}{2\sqrt{2}}$

$b = \sqrt{A*2\sqrt{2}} = \sqrt{48*2\sqrt{2}} = 11.7 m$

Therefore, the sides of the equilateral triangle are 11.7 m.

I hope it helps you!

7 0

3 years ago

Read 2 more answers

Find the length of BC

Firdavs [7]

Answer:

Use tangent ratio (type in calculator)

Step-by-step explanation:

tan of 54 * 39 = 53.68

5 0

3 years ago

Read 2 more answers

In the figure a || b and m 1= 34°. What is the m 5 ?<br><br> __°

Anuta_ua [19.1K]

The answer is: m∡1 = 34° .
______________________________
Note:
______________________________
m∡5 = m∡1 = 34° .
_______________________________________

8 0

3 years ago

Please help me!! Tysm!!!!!! ❤✨

atroni [7]

7/9

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5 0

3 years ago