Find B if a= 8M, B=69°, and C=48°

If f(x)=×^2-81andg(x)

defon

9514 1404 393

Answer:

the correct choice is marked

Step-by-step explanation:

$f(x)\cdot g(x)=(x^2-81)\dfrac{x+9}{x-9}=\dfrac{(x-9)(x+9)(x+9)}{(x-9)}\\\\=\boxed{(x+9)^2}$

3 0

3 years ago

Hannah has a small square shaped garden with an area of 196 square feet. If she wants to put a fence around the garden, how many

Mazyrski [523]

━━━━━━━━━━━━━━━ ♡ ━━━━━━━━━━━━━━━

A square is a quadrilateral that has the same length on every side.

The area of the garden is 196 square feet. To find the area of a garden, you have to multiply the length times the width. Since you know that both widths are the same, you can simply just calculate the square root of 196. The square root of 196 is 14. So you know that one side is 14 feet in length.

Now you will need to find the perimeter. The perimeter of any polygon is the lengths of all sides added up. Since there are 4 sides on a square, and each side is the same length, you can just add 14, 4 times. 14+14+14+14 equals 56. So the perimeter of the garden is 56 feet.

Hannah will need 56 feet of fencing.

━━━━━━━━━━━━━━━ ♡ ━━━━━━━━━━━━━━━

4 0

3 years ago

Rewrite the equation y-3=2(x+4) into slope form

soldi70 [24.7K]

Answer:

Step-by-step explanation:

So we have y-3=2(x+4)

So the first thing we want to do is distribute the 2 in front of the (x+4)

2(x+4) = 2x+8

Which means we have:

y-3=2x+8

Remember we need to get it into the form y=mx+b

As you can see here the 3 is preventing our equation from being in that form to we need to add it to both sides. This leaves us with:

y - 3 + 3 = 2x+8+3

Which gives: y = 2x+11

Therefore the slope form of this equation is y = 2x+11

4 0

3 years ago

Given: mHL =40°, mEV =130°, mVL =110°. Find: m∠EYH.

IgorC [24]

Answer:

<h2>The measure of angle EYH is 25°.</h2>

Step-by-step explanation:

Notice that ray EY is a tangent and ray VY is a secant.

In this case, we use the theorem that states "the angle formed by a tangent and a secant is half of the difference of the intercepted arcs".

In this case, the intercepted arcs are EH and EV. We know that a whole arc is 360°, so

$arc(EH)=360-40-110-130=80$

Using the theorem, we have

$m\angle EYH=\frac{1}{2}(arc(EV)-arc(EH))=\frac{1}{2}(130-80)=\frac{1}{2}(50)\\ m \angle EYH = 25\°$

Therefore, the measure of angle EYH is 25°.

7 0

3 years ago

9x-y=5 7x-6y=5 Solve the system by the substitution method

qwelly [4]

9x - y = 5
7x - 6y = 5

Solve both equations for one variable. I'll solve for y.

9x - y = 5 Subtract 9x from both sides
-y = -9x + 5 Divide both sides by -1
y = 9x - 5

7x - 6y = 5 Subtract 7x from both sides
-6y = -7x + 5 Divide both sides by -6
y = $\frac{7}{6}$ x - $\frac{5}{6}$

Since both equations equal y, you can set them equal to each other and solve for x.

9x - 5 = $\frac{7}{6}$ x - $\frac{5}{6}$ Multiply both sides by 6 to eliminate the fractions
54x - 30 = 7x - 5 Subtract 7x from both sides
47x - 30 = -5 Add 30 to both sides
47x = 25 Divide both sides by 47
x = $\frac{25}{47}$

Now, plug that x-value into the x of either equation. I'll plug it into 9x - y = 5.

9x - y = 5 Plug in the x-value
9( $\frac{25}{47}$ ) - y = 5 Multiply
 $\frac{225}{47}$ - y = 5 Subtract $\frac{225}{47}$ from both sides
-y = 0.21276595744 (I had to convert it to a decimal) Divide both sides by -1
y = -0.21276595744

So, the answer to the system is (0.53191489361, -0.21276595744)

8 0

4 years ago

Find B if a= 8M, B=69°, and C=48°​

Find B if a= 8M, B=69°, and C=48°