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Can someone please help me?(Fill in the blanks) This is on Khan Academy too, I need it ASAP! if you answer right I'll mark you B

Travka [436]

First divide both sides by 2:

$2x^2+7x+6=0\implies x^2+\dfrac72x+3=0$

Move the constant term to the right side:

$x^2+\dfrac72x=-3$

Since

$(x+y)^2=x^2+2xy+y^2$

we want to have

$2y=\dfrac72\implies y=\dfrac74$

Then

$\left(x+\dfrac74\right)^2=x^2+\dfrac72x+\dfrac{49}{16}$

So in our equation, we need to add 49/16 to both sides in order to complete the square:

$x^2+\dfrac72x+\dfrac{49}{16}=-3+\dfrac{49}{16}$

$\implies\left(x+\dfrac74\right)^2=\dfrac1{16}$

7 0

3 years ago

Helppp!!!! please!!!

Vaselesa [24]

Answer:

$\boxed{Area = 28.12 cm^2}$

Step-by-step explanation:

Area of Parallelogram = Base * Height

Where base = 3.7 cm, Height = 7.6 cm

=> Area = 3.7 * 7.6

=> Area = 28.12 cm^2

5 0

3 years ago

If correct I’ll give brainlist

GaryK [48]

Hi there!

$\large\boxed{-18a^{3}c^{3}}$

To solve, keep in mind the following property:

xᵃ · xᵇ = xᵃ⁺ᵇ

We are given:

-3a⁷ (6)c⁷a⁻⁴c⁻⁴

Combine like exponent bases using the property above:

-3(6)a⁷⁻⁴c⁷⁻⁴

Simplify:

-18a³c³

8 0

3 years ago

— 4x — Зу = = 9 5х = 15 Help me now

blsea [12.9K]

Answer:

y=-7

x=3

Step-by-step explanation:

I just used a calculator. Hope this helps. :)

8 0

3 years ago

(High points) please solve with explanation

AysviL [449]

Answer:

The area and the perimeter of the picture are:

Area = 160 cm^2
Perimeter = 67.31 cm

Step-by-step explanation:

To find the area of that figure, you can find the area how if it was a rectangle and next subtract the area of the triangle in the upper part. The area of a rectangle could be found by the next formula:

Area of a rectangle = base * height

As you can see in the picture, the base is 16 cm and the height is 12 cm, then we replace in the formula:

Area of a rectangle = 16 cm * 12 cm
Area of a rectangle = 192 cm^2

Now, we calculate the area of the triangle to subtract to the area we found and obtain the real area, the formula to obtain the area of a triangle is:

Area of a triangle = (base * height) / 2

The height of the triangle is 8 cm, and the base is 8 cm too, because you subtract to the base of the rectangle (16 cm) the measurements in the upper part (16 - 4 - 4 = 8), Now, we replace in the formula:

Area of a triangle = (8 cm * 8 cm) / 2
Area of a triangle = (64 cm^2) / 2
Area of a triangle = 32 cm^2

We subtract to the found area:

Area of the picture = 192 cm^2 - 32 cm^2
Area of the picture = 160 cm^2

To find the perimeter, you must add all the sides of the picture, but, as you can see, there is a side that doesn't have the measurent, this is the hypotenuse of the triangle used before, but how we know the other sides, we can use Pythagorean theorem: