y = a(x - 2)(x + 4)
In the quadratic equation above, a is a nonzero
constant. The graph of the equation in the wy-plane
is a parabola with vertex (c,d). Which of the
following is equal to d ?
A) -9a
B) -8a
C) -5a
D) -24

Answer:

The length of the base the pyramid is 116 feet.

Step-by-step explanation:

See the diagram attached to this answer.

Let Δ OAB is the side triangle of the square pyramid, and A'B' is the mid segment parallel to the ground with length of 58 feet.

Now, Δ OAB and Δ OA'B' are similar triangle and the length of sides of the triangle Δ OA'B' are in the same ratio with the corresponding sides of Δ OAB.

Hence,

⇒ AB = 2 × 58 = 116 feet.

The length of the base the pyramid is 116 feet. (Answer)  

Answer:

x^2+7x=30

x^2+7x-30=0

Here a=1,b=7 and c=-30

Now,

Discriminant(D)=b^2-4ac

=7^2-4×1×(-30)

=49+120=169

By applying Quadratic formula

x=-b+- root over b^2-4ac÷2a

=-7+- root over D ÷ 2×1

=-7 +- root over 169 ÷2

=-7 +- 13 ÷2

Now,

Either x=-7+13÷2=6÷2=3

Or x=-7 -13 ÷2=-20÷2=-10

Hence, ans is (C) x=-10 and x=3

Answer:

y - 4= -3(x - 2)

I'm 101% sure

Answer:

ECB and CDE

Step-by-step explanation:

the others arent the same

Answer:

Option (a).

Step-by-step explanation:

The value of y varies directly with x. It would mean that,

y=kx, where k is constant

When

[tex]y=2\dfrac{4}{7},x=\dfrac{3}{7}\\\\y=\dfrac{18}{7}, x = \dfrac{3}{7}[/tex]

then,

[tex]\dfrac{18}{7}=k\times \dfrac{3}{7}\\\\k=6[/tex]

When x = 27,

[tex]y=6\times \dfrac{2}{7}\\\\y=\dfrac{12}{7}\\\\\text{or}\\\\y=1\dfrac{5}{7}[/tex]

So, the value of y is [tex]1\dfrac{5}{7}[/tex] when x is 27.

[tex]r \times x = \frac{r - h}{y} \\ [/tex]

Multiply sides by y

[tex]r \times x \times y = r - h[/tex]

Subtract sides minus r

[tex]r \times x \times y - r = - h[/tex]

Multiply sides by -1

[tex] - r.x.y + r = h[/tex]

Factoring r

[tex]h = r(1 - x.y)[/tex]

_________________________________

And we're done.

Thanks for watching buddy good luck.

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Answer:

x-1=3

x=3+1

x=4

Answer:glaciers melting, ozone layer getting thinner, 2.5 million trees being burned to the ground.

Step-by-step explanation:

OK............................

Answer:

3/7 and 2/9 are repeating decimals.

Step-by-step explanation:

Answer:

max A=42x

Step-by-step explanation:

Hello.

Ken had 6.57 yards of tape, and then used 0.5 yards of the tape. Subtract 0.5 from 6.57.

6.57 - 0.5 = 6.07

He has 6.07 of the tape left.

Answer:

5x-y=-9

Step-by-step explanation:

Answer:

y, m(x)

Step-by-step explanation:

minus them to get this

Answer: Around 90 degrees. Atleast 87 or so.

Step-by-step explanation:

Acute angles are 90 degrees, so I estimated it would be a little less then that, for the other angle measures 128 as it says on your picture.

Stay safe! I’m sorry if it didn’t help you much.

Answer:

Sam needs 24 pieces, he will have about 91/100 of a piece of wood left.

Theresa needs 47 pieces, she will have about 82/100 of a piece of wood left.

Step-by-step explanation:

254/11=23.09

254*2=508

508/11=46.18

Answer:

the answer =-8

Step-by-step explanation:

you subsitute -2 for x so its 4(-2) which is -8

Answer:

Given value x=-2, just substitute it to [tex]4^{x}[/tex]

= [tex]4^{-2}[/tex]   (this uses the property [tex]a^{-m}=\frac{1}{a^{m} }[/tex])

= This results in:

[tex]\frac{1}{4^{2} } = \frac{1}{16 }[/tex]

Answer:

Assuming you are asking for the slope which is 3 or in the equation format y=3x

Step-by-step explanation:

you must find the distance in the y- values and the x values, how each value increases or decreases. You may have heard of the phrase rise/run. To get to the pint (2,6) from (1,3), you must rise 3 units and move 1 unit. If you were to follow the rise/run method, you will need to divide the two numbers. In this case you will be dividing 3/1 which equals you. Then you must plug that number into the formula (y=mx+b).

Answer:

67 percent wouldnt it?

Answer:

21 is the correct answer

Answer:

f( x) = x ^2 + 1

The equation  f( x) = x² + 1 makes the table true.

Two or more expressions with an equal sign is called as equation.

The given  table is

x     y

0     1

2     5

5     26

7      50

The table value satisfy with the function f( x) = x² + 1=y

if x=0, then y=f(0)=0² + 1=1

if x=2, then y=f(2)=2² + 1=4+1=5

if x=5, then y=f(5)=5² + 1=25+1=26

if x=7, then y=f(7)=7² + 1=49+1=50

Therefore f(x)=x² + 1 is the equation of table.

To learn more on equations click:

https://brainly.com/question/10413253

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Answer:

Step-by-step explanation:

[tex]2x^2 - 52 + 2 = 0\\\\2x^2-50=0\\\\x^2-25=0\\\\x^2=25\\\\x=5\qquad\vee\quad\ x=-5[/tex]

Answer:

Step-by-step explanation:

12.5

Number of laps in given distance is 12.5 laps.

Given:

Length of a track = 400 meter

Total distance = 3.1 miles

Find:

Number of laps in given distance

Computation:

We know that

1 miles = 1609.34 meter

So,

Total distance = 3.1 miles

Total distance = 3.1 × 1609.34

Total distance = 4988.954

Number of laps in given distance = 4988.954 / 400

Number of laps in given distance = 12.4723

Number of laps in given distance = 12.5 laps (Approx.)

Learn more:

https://brainly.com/question/18781535?referrer=searchResults

Answer:

Step-by-step explanation:

Answer:

_18__ student(s) for every 8 computers.

45 students for every _20_ computer(s).

Step-by-step explanation:

Answer:

Charles: 17 points

Adam: 25 points

Bethany: 30 points

Answer:

Adam scored 25 points.

Bethany scored 30 points.

Charles scored 17 points.

Step-by-step explanation:

A = Adam, B = Bethany, C = Charles

What we know:

C + 8 = A

A +  5 = B

A + B + C = 72

Charles:

C + 8 + 5 = B

C + (C + 8) +  (C + 13) = 72

72 - 8 - 13 = 51

51/3 = 17

Charles scored 17 points.

Bethany:

17 + 13 = 30

Bethany scored 30 points.

Adam:

17 + 8 = 25

Adam scored 25 points.

Answer:

4(1+1)=8

Step-by-step explanation:

x=1