Find the product: two thirds multiplied by three fourths. Use the fraction model to help you.

Find axis of symmetry f(x)=2(x-5)(x+9)

Effectus [21]

Answer:

x = -2

Step-by-step explanation:

f(x) = 2( x^2 +9x -5x - 45)

f(x) = 2(x^2 + 4x - 45)

f(x) = 2x^2 +8x -90

axis of symmetry formula: x = -b / 2a

x = -(8) / 2(2)

x = -8 / 4

x = -2

*you can also graph the equation on a graphing calculator and find the middle of the parabola

7 0

3 years ago

Oliver is building a box kite. The frame of the kite has the dimensions shown. He covered the sides of the kite (but not the top

11Alexandr11 [23.1K]

Answer: 54000 cube cm

Step-by-step explanation:
Let h be the height of the box kite,
Also the length of one face = 30 cm,
Hence, the total area of the kite box that is covered by the fabric
= 4 × Area of one face
= 4 × 30 × h
= 120 h
According to the question,
120 h = 7200
h = 60 cm
Hence, the height of the box = 60 cm,
The volume inside the kite = The base area of the box × Its height
= 30² × 60
= 900 × 60
= 54000 cm³

6 0

3 years ago

Read 2 more answers

Alanna is painting a border on a wall. The border consists of kite-shaped figures as shown. mc022-1.jpg Each kite measures 6 inc

Sedaia [141]

the question does not present the picture, but this does not interfere with the resolution

step 1

Find the area of a kite

we know that

area of a kite=(1/2)*[d1*d2]

where d1 and d2 are the diagonals

so

area of a kite=(1/2)*[6*12]-----> 36 in²

The wall is 12 feet across-----> convert to in-----> 12*12----> 144 in

step 2
find the number of kite to paint
divide across of the wall to across of a kite
144/6-----> 24

step 3
find the number of square inches of the wall to be covered with comets
24*area of one kite-----> 24*36-----> 864 in²

the answer is 864 in²
Note For this calculation, as there is no drawing we have assumed that the diagonal of the 6-inch kite is horizontal

case b)
If the diagonal of the 12-inch kite was horizontal, then the calculation would be
step 2
find the number of kite to paint
divide across of the wall to across of a kite
144/12-----> 12

step 3
find the number of square inches of the wall to be covered with comets
12*area of one kite-----> 12*36-----> 432 in²

the answer would be 432 in²

5 0

4 years ago

Ive labeled the ordered pairs but what does it mean by state the quadrant or axis in/on which the point is located

irina1246 [14]

So the image below shows what quadrants are. From the top-right square, the order of quadrants goes from 1-4 in a counter-clockwise matter.

Quadrant I: Top-right square

Quadrant II: Top-left square

Quadrant III: Bottom-left square

Quadrant IV: Bottom-right square.

Any points that are on the bolded vertical line are on the y-axis, and any points on the bolded horizontal line is on the x-axis.

6 0

3 years ago

Find the roots 7x^2 + 46 = 32

Reika [66]

Answer:

i $\sqrt{2}$ (or no solution if you haven't learned about imaginary numbers yet)

Step-by-step explanation:

The first thing you want to do is isolate x, or get x alone.

7x²+46=32

=> 7x²+46-46=32-46

=>7x²=-14

=>7x²÷7=-14÷7

=>x²=-2

If you have learned about imaginary numbers read on. If not, you have to realize that squaring any number can't result in a negative number. This means that there is no solution.

If you have learned about imaginary numbers, read on.

Now that you have x^2=-2, you can take the square root of both sides.

x= $\sqrt{-2}$

Using a property about square roots (I don't know what it's called)

the equation becomes:

x= $\sqrt{-1}\sqrt{2}$

And since $\sqrt{-1}$ =i, you can substitute in this value in to get x=i $\sqrt{2}$ .

4 0

3 years ago