A triangle has side lengths of
[tex] \sqrt{125} [/tex]
[tex] \sqrt{5} [/tex]
[tex] \sqrt{20} [/tex]

What is the perimeter of the triangle?
[tex]4 \sqrt{5} [/tex]
[tex]6 \sqrt{5} [/tex]
[tex]8 \sqrt{5} [/tex]
none of the answers are correct ​

Answer:

[tex]y = 4(x - 4)^2 - 2[/tex]

or

[tex]y=4x^2 -32x + 62[/tex]

Step-by-step explanation:

Given

[tex]V = (4,-2)[/tex] --- vertex

[tex]P = (2,14)[/tex] --- point

Required

The equation of the parabola

The equation of the parabola is of the form

[tex]y = a(x - h)^2 + k[/tex]

Where

[tex]V (4,-2) = (h,k)[/tex] ---- the vertex

So, we have:

[tex]y = a(x - h)^2 + k[/tex]

[tex]y = a(x - 4)^2 - 2[/tex]

In [tex]P = (2,14)[/tex], we have:

[tex](x,y) = (2,14)[/tex]

Substitute [tex](x,y) = (2,14)[/tex] in [tex]y = a(x - 4)^2 - 2[/tex]

[tex]14 = a(2 - 4)^2 - 2[/tex]

[tex]14 = a(- 2)^2 - 2[/tex]

[tex]14 = a*4 - 2[/tex]

[tex]14 = 4a - 2[/tex]

Collect like terms

[tex]4a = 14 +2[/tex]

[tex]4a = 16[/tex]

Divide both sides by 4

[tex]a= 4[/tex]

So:

[tex]y = a(x - 4)^2 - 2[/tex] becomes

[tex]y = 4(x - 4)^2 - 2[/tex]

Open bracket to express the equation in standard form

[tex]y=4(x^2 -8x + 16) - 2[/tex]

[tex]y=4x^2 -32x + 64 - 2[/tex]

[tex]y=4x^2 -32x + 62[/tex]

Answer:

intercept form

(sometimes called factored form)

Step-by-step explanation:

Additive Inverse of -33

—————————————————

[tex]\purple{\boxed{\boxed{\tt\pink{➢33}}}}[/tex]

»The opposite of the given integer is called its additive inverse. The sum of a number and its additive inverse is zero. For example, the additive inverse of -4 is 4, so when you add the two integer they sum will be zero.

Answer:

Surface Area = 139.4 (rounded to nearest tenth)

Answer:

-4

Step-by-step explanation:

From the question, we can deduce that the algebraic expression is a multiplication of a number and a variable.

First instance;

Number = +1

variable= x

Output = -4

+1 * x = -4

x = -4/1 = -4

Second instance;

Let the unknown number be y.

Number = y

variable= 2x

Output = -8x

y * 2x = -8x

y = -8x/2x

y = -4

Check:

2x * -4 = -8x

24x⁶ and 18x⁴ —> 6x⁴

30x³y⁵ and 25 x²y —> 5x²y

Answer:

1/2

Step-by-step explanation:

Slope can be expressed with the formula below

Which is is the difference in y axis over that of x axis

m=( y2 - y1)/(x2 - x1)

( x1 y1) = (-3, -3)

x2 y2)= (-1, - 2)

= ( -2+3)/(-1+3)

m= 1/2

Hence, the slope of the line is 1/2

Answer:

The relative cumulative frequency of students who earned a score of 20 or lower on the quiz is 76%

Step-by-step explanation:

Complete question

Please find the attachment

Solution

The frequency distribution is as follows

Interval Frequency Cumulative Frequency Relative Cumulative Frequency

1 to 5 8 8 0.16

6 to 11 8 16 0.32

11 to 15 13 29 0.58

16 to 20 9 38 0.76

21 to 25 3 41 0.82

26 to 30 4 45 0.9

31 to 35 3 48 0.96

36 to 40 2 50 1

The relative cumulative frequency of students who earned a score of 20 or lower on the quiz is 76%

The relative cumulative frequency of students who earned a score of 20 or lower on the quiz is 0.68.

From the given figure (image 1)

The cumulative frequency of students who earned a score of 20 or lower on the quiz is = 4+8+15+7=34.

Total frequency is = 4+8+15+7+7+3+4+2=50.

So the relative cumulative frequency is = 34/50 = 0.68 = 68%

Learn more: https://brainly.com/question/13646998

Answer:C

Step-by-step explanation:

Answer:

$28,366.90

Step-by-step explanation:

Answer: 28366.90

Step-by-step explanation: 20,000(1+.035/12)^120

Answer:

4x+5=2x-3 1-5

4x-2x=-3+1-5-5

2x=-2

[tex] \frac{2x}{2} = \frac{ - 2}{2} [/tex]

x=

[tex]x = \frac{ - 2}{2} [/tex]

Answer:

will you help me with grade 9 math, algebra 2 please

Step-by-step explanation:

Answer:

The point A is on 2.5 on the number line.

Step-by-step explanation:

In order to find this answer you need to find where the point labeled A is to have a starting point. Secondly, what two numbers is the point located between or closer to? In this case the point is right between 2 and 3. Which would be a half of a number. So, because the point is located between 2 and 3 we would say that it is 2.5 or 2 and 1/2 because the number on the left of the point is usually a whole number. So, that would be on how you get 2 and 1/2.

Answer:

18.5 i believe

Step-by-step explanation:

sorry if im wrong, have a great day!!

Answer:

4/5 as a percent is 80% or 0.8

9514 1404 393

Answer:

  15 squre units

Step-by-step explanation:

The area of the rectangle is the product of its length and width. The length is AB = 5 units; the width is BC = 3 units. Then the area is ...

  A = LW

  A = (5 units)(3 units) = 15 units²

The area of rectangle ABCD is 15 square units.

Answer:

a. Unsure

b. True

c. Unsure

d. True

A - False

B - True

C- False

D- True

Answer:

Part A.  linear

Part B. you would shade the solutions (2,0) (3,2) (4,4) (5,6) (6,8)... right side

Step-by-step explanation:

Hope this helps

Answer:

0.4867

Step-by-step explanation:

Given an approximately normal distribution:

Z = (x - mean) / standard deviation

Mean = 32.6 ; Standard deviation = 12

For :

P(x > 33)

Z = (33 - 32.6) / 12

Z = 0.4 / 12

Z = 0.0333

Hence, using the Z distribution table :

P(Z > 0.0333) = 1 - P(Z < 0.333)

P(Z > 0.0333) = 1 - 0.51328

P(Z > 0.0333) = 0.48672

Answer:

Anna spent $ 2.25 on pears, $ 6.75 on blueberries, and $ 4.25 on strawberries.

Step-by-step explanation:

Given that Anna bought 3 types of fruit for a fruit salad, and she paid three times as much for blueberries as for pears and $ 2.50 less for strawberries than for blueberries, if the total cost was $ 13.25, to determine how much did Anna spend on each type of fruit, the following calculation must be performed:

Pears: X

Blueberries: 3X

Strawberries: 3X - 2.5

X + 3X + 3X - 2.5 = 13.25

7X = 13.25 + 2.5

X = 15.75 / 7

X = 2.25

Pears: 2.25

Blueberries: 3 x 2.25 = 6.75

Strawberries: 3 x 2.25 - 2.50 = 6.75 - 2.50 = 4.25

2.25 + 6.75 + 4.25 = 13.25

Therefore, Anna spent $ 2.25 on pears, $ 6.75 on blueberries, and $ 4.25 on strawberries.

Answer:

11 inches

Step-by-step explanation:

Given :

15 in of wire = 90 cents

At the same rate :

x inch of wire = 66 cents

Cross multiply :

90x = 15 * 66

90x = 990

x = 990 / 90

x = 11

11 inches of wire

Answer:

5

Step-by-step explanation:

if it's an equilateral triangle that means all sides are the same length

Answer:

[tex](x+1)^2 + (y-1)^2 = 9\\\\or\\\\x^2 + y^2 +2x -2y -7 = 0[/tex]

Step-by-step explanation:

[tex](x +1 )^2 + (y -1)^2 = 3^2\\\\x^2 +2x +1 + y^2 + 1 -2y = 9\\\\x^2 + y^2 +2x -2y +2 -9 = 0\\\\x^2 + y^2 +2x -2y -7 = 0[/tex]

The value of P(A or B) if the probabilities are mutually exclusive is 0.9

Given the following probability values shown below;

P(A) = 0.60

P(B) = 0.30

If A and B are mutually exclusive, hence;

P(A or B) = P(A)+P(B)

P(A or B) = 0.6 + 0.3

P(A or B) = 0.9

Hence the value of P(A or B) if the probabilities are mutually exclusive is 0.9

Learn more on mutually exclusive events here: https://brainly.com/question/27588497

#SPJ1

Answer:

Option A, Measure of data centrality

Step-by-step explanation:

Normal distribution curve determines the skewness of the data as to what extent is is disoriented from the normal distribution curve. Also, it is the probability distribution curve that determines whether the data set is two legged, one legged or it lies under which probability curve.

Hence option A is correct

Answer:

12π ft

Step-by-step explanation:

~Refer to the attachment for the solution. :)