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2 years ago

Factor −1/4 out of −1/2x−5/4y..ㅤ

Mathematics

1 answer:

hammer [34]2 years ago

3 0

Answer:

- 1/4 (2x + 5y)

Step-by-step explanation:

Divide each term by - 1/4 first

-1/2x ÷ (- 1/4) = 1/2x × 4 = 2x
-5/4y ÷ (- 1/4) = 5/4y × 4 = 5y

Now facor out - 1/4

- 1/2x - 5/4y =
- 1/4 (2x + 5y)

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100 POINTS AND BRAINLIEST

zysi [14]

Answer:

8 square units and $\frac{40}{3}$ square units

Step-by-step explanation:

The area of the triangle ABC is 24 square units.

1. Triangles ABC and FBG are similar with scale factor $\frac{1}{3},$ then

$\dfrac{A_{\triangle FBG}}{A_{\triangle ABC}}=\dfrac{1}{9}\Rightarrow A_{\triangle FBG}=\dfrac{1}{9}\cdot 24=\dfrac{8}{3}\ un^2.$

2. Triangles ABC and DBE are similar with scale factor $\frac{2}{3},$ then

$\dfrac{A_{\triangle DBE}}{A_{\triangle ABC}}=\dfrac{4}{9}\Rightarrow A_{\triangle DBE}=\dfrac{4}{9}\cdot 24=\dfrac{32}{3}\ un^2.$

3. Thus, the area of the quadrilateral DFGE is

$A_{DFGE}=A_{\triangle DBE}-A_{\triangle FBG}=\dfrac{32}{3}-\dfrac{8}{3}=8\ un^2.$

and the area of the quadrilateral ADEC is

$A_{ADEC}=A_{\triangle ABC}-A_{\triangle DBE}=24-\dfrac{32}{3}=\dfrac{40}{3}\ un^2.$

4 0

3 years ago

Read 2 more answers

Help please!!!!!!!!!

Alenkasestr [34]

Answer:

B. $x^{2}$ - 4x - 5

Step-by-step explanation:

(p о n) (x) is the same thing as (p(n(x))

We know n(x) = x - 5, so let's input that into our expression

(p(x - 5))

Since we know p(x) = x^2 + 6x, let's replace the x with the new value x-5. Now our expression is:

p(x) = (x - 5)^2 + 6(x - 5)

Now all we have to do is simplify.

(x - 5)^2 is the same as: (x - 5)(x - 5)

Using the foil method, it simplifies to: x^2 - 10x + 25

6 (x - 5) = 6x - 30

Now our expression is: x^2 - 10x + 25 + 6x - 30

Combine like terms: x^2 - 4x - 5

The expression is: $x^{2}$ - 4x - 5

5 0

2 years ago

I need to find the measure of angle x in the figure

blondinia [14]

Just find the ASA :)

5 0

2 years ago

Congruent angle pairs : Find value of x

Alexandra [31]

Answer:

(Opt.B) 18

Step-by-step explanation:

4x = 2y - x (vertically opposite angles are equal)

4x + x = 2y

5x = 2y ----- (1)

4x + 2y + x = 180 (Linear pair angles)

5x + 2y = 180

From (1) we can understand that, the value of 5x and 2y is the same. So,

5x + 5x = 180

10x = 180

x = 180/10

x = 18

Just completing,

Putting the value of x in (1)

5*18 = 2y

90 = 2y

90/2 = y

45 = y

Hope you understand

Please mark as brainliest

Thank You

6 0

3 years ago

If f(x)=4x-5 and g(x)=3-2x find f(x)+g(x)

Akimi4 [234]

(fg)(x) = [f(x)][g(x)]
(fg)(x) = (4x - 5)(3) = 12x - 15

8 0

2 years ago