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3 years ago

-4(4x-4) + 2x - 4 = -30

Mathematics

1 answer:

s344n2d4d5 [400]3 years ago

5 0

Answer:

x=3

Step-by-step explanation:

-4(4x-4)+2x-4+4=-30+4

-4(4x-4)+2x=-26

-14x+16=-26

-14x+16-16=-26-16

-14x=-42

-14x/-14=-42/-14

x=3

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3 years ago

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Step-by-step explanation:

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2 years ago

Read 2 more answers

Find the area of the right triangle △DEF with the points D (0, 0), E (1, 1), and F.

Tems11 [23]

Answer:

The area of the triangle is $\sqrt{3}$

Step-by-step explanation:

Given:

Coordinates D (0, 0), E (1, 1)

Angle ∠DEF = 60°

△DEF is a Right triangle

To Find:

The area of the triangle

Solution:

The area of the triangle is = $\frac{1}{2}(base \times height)$

Here the base is Distance between D and E

calculation the distance using the distance formula, we get

DE = $\sqrt{(0-1)^2 + (0-1)^2}$

DE = $\sqrt{(-1) ^2 + (-1)^2$

DE = $\sqrt{1+1}$

DE = $\sqrt{2}$

Base = $\sqrt{2}$

Height is DF

DF = $tan(60^{\circ}) \times DE$

DF = $\sqrt{3} \times DE$

DF = $\sqrt{3} \times\sqrt{2}$

Now, the area of the triangle is

= $\frac{1}{2}({\sqrt{2})(\sqrt{3} \times \sqrt{2})$

= $\frac{1}{2}({\sqrt{2})(\sqrt{3} \sqrt{2})$

= $\frac{1}{2}(2\sqrt{3} )$

= $\sqrt{3}$

6 0

3 years ago

I need the answers to 17 18 27 28

forsale [732]

Answer

17. A

18. C

27. A

28. A

Step-by-step explanation:

This stuff is simple. I just did this last week. I did the same exact sheet and i got a 100%

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3 years ago

Without drawing the graphs, find the points of intersection of the lines: a 7x+4y=23 and 8x–10y=19

emmainna [20.7K]

Answer:

(3,0.5)

Step-by-step explanation:

The given system has equations:

$7x + 4y = 23 \\ 8x - 10y = 19$

Let us multiply the second equation by 4 and the first equation by 10.

$70x + 40y = 230 \\ 32x - 40y = 76$

We add both new equations to get:

$102x = 306 \\ x = \frac{306}{102} = 3$

Put x=3 into the first equation and solve for y.

$7(3) + 4y = 23 \\ 21 + 4y = 23 \\ 4y = 23 - 21 \\ 4y = 2 \\ y = \frac{1}{2}$

The point of intersection is the solution to the system of equation which is (3,0.5)

8 0

3 years ago