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3 years ago

Which function has an axis of symmetry of x = −2?

Mathematics

2 answers:

natali 33 [55]3 years ago

7 0

Answer:

f(x) = (x + 2)2 − 1 (d)

Step-by-step explanation:

I took the test on Edge if that was what you were looking for

djyliett [7]3 years ago

4 0

Any function that has a -b value divided by 2a that equals -2

use ax²+bx+c to figure it out

the axis of symmetry formula is -b/2a=x

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A square pyramid. The square base has side lengths of 6 inches. The 4 triangular sides have a base of 6 inches and height of 9 i

Marrrta [24]

Answer:

The area of the pyramid’s base is 36 in².

The pyramid has 4 lateral faces.

The surface area of each lateral face is 27 in².

Step-by-step explanation:

"Lateral" means side, so the lateral faces are triangles.

The base is the bottom, which is a square.

To calculate the area of the base, use the formula for area of a square.

$A_{base} = s^{2}$

$A_{base} = (6 in)^{2}$

$A_{base} = 36 in^{2}$

To calculate the area of a lateral face, find the area of a triangle.

$A_{lateral} = \frac{bh}{2}$

$A_{lateral} = \frac{(6 in)(9 in)}{2}$

$A_{lateral} = \frac{54 in^{2}}{2}$

$A_{lateral} = 27 in^{2}$

In a pyramid, the number of lateral faces is the same as the number of sides in the base. The square base as 4 sides, so there are 4 lateral faces.

3 0

3 years ago

84 divided into sevenths added to 9 divided into thirds

mina [271]

(84÷7)+(9÷3) The parentheses are not necessary but I just put them.
I think that's what you meant. If you meant the other thing this would be the equation: (84÷7+9)÷3. Here the parentheses are nessasary

6 0

3 years ago

Read 2 more answers

On a coordinate plane, kite W X Y Z is shown. Point W is at (negative 3, 3), point X is at (2, 3), point Y is at (4, negative 4)

xz_007 [3.2K]

Answer:

$P = 10 + 2\sqrt{53}$ units

Step-by-step explanation:

Given

Shape: Kite WXYZ

W (-3, 3), X (2, 3),

Y (4, -4), Z (-3, -2)

Required

Determine perimeter of the kite

First, we need to determine lengths of sides WX, XY, YZ and ZW using distance formula;

$d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}$

For WX:

$(x_1, y_1)\ (x_2,y_2) = (-3, 3),\ (2, 3)$

$WX = \sqrt{(-3 - 2)^2 + (3 - 3)^2}$

$WX = \sqrt{(-5)^2 + (0)^2}$

$WX = \sqrt{25}$

$WX = 5$

For XY:

$(x_1, y_1)\ (x_2,y_2) = (2, 3)\ (4,-4)$

$XY = \sqrt{(2 - 4)^2 + (3 - (-4))^2}$

$XY = \sqrt{-2^2 + (3 +4)^2}$

$XY = \sqrt{-2^2 + 7^2}$

$XY = \sqrt{4 + 49}$

$XY = \sqrt{53}$

For YZ:

$(x_1, y_1)\ (x_2,y_2) = (4,-4)\ (-3, -2)$

$YZ = \sqrt{(4 - (-3))^2 + (-4 - (-2))^2}$

$YZ = \sqrt{(4 +3)^2 + (-4 +2)^2}$

$YZ = \sqrt{7^2 + (-2)^2}$

$YZ = \sqrt{49 + 4}$

$YZ = \sqrt{53}$

For ZW:

$(x_1, y_1)\ (x_2,y_2) = (-3, -2)\ (-3, 3)$

$ZW = \sqrt{(-3 - (-3))^2 + (-2 - 3)^2}$

$ZW = \sqrt{(-3 +3)^2 + (-2 - 3)^2}$

$ZW = \sqrt{0^2 + (-5)^2}$

$ZW = \sqrt{0 + 25}$

$ZW = \sqrt{25}$

$ZW = 5$

The Perimeter (P) is as follows:

$P = WX + XY + YZ + ZW$

$P = 5 + \sqrt{53} + \sqrt{53} + 5$

$P = 5 + 5 + \sqrt{53} + \sqrt{53}$

$P = 10 + 2\sqrt{53}$ units

6 0

3 years ago

Find the length of each arc. Round to the nearest tenth.

avanturin [10]

Answer:

arc ≈ 5.5 units

Step-by-step explanation:

The arc of the circle is calculated as

arc = circumference of circle × fraction of circle

= 2πr × $\frac{\frac{\pi }{2} }{2\pi }$ ( r is the radius )

= 2π × 3.5 × $\frac{1}{4}$

= $\frac{7\pi }{4}$

≈ 5.5 ( to the nearest tenth )

7 0

2 years ago

What are the values of a and b

nikdorinn [45]

A= 58°B= 83° because you add the straight angle which is 90 plus the other number and subtract it by 180 because a triangle has 180°

7 0

3 years ago