Solve the following quadratic function
by utilizing the square root method.
y = 16 – x2

Answer:

1/64

Step-by-step explanation:

You divide by 4 each time.

It goes 16,4,1,1/4,1/16, 1/64 and so on

Zeros:

x = -2

x = 6

Smaller zero: -2

Answer:  89 will go in the box

This means the exact distance between the two given points is [tex]\sqrt{89}[/tex] which approximates to roughly 9.4339811

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Explanation:

To get that answer, we can apply the distance formula

(x1,y1) = (-1,-5) is the first point

(x2,y2) = (4,3) is the second point

Plug the coordinates into the distance formula

[tex]d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(-1-4)^2 + (-5-3)^2}\\\\d = \sqrt{(-5)^2 + (-8)^2}\\\\d = \sqrt{25 + 64}\\\\d = \sqrt{89}\\\\d \approx 9.4339811\\\\[/tex]

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Alternative Method:

You could also form a right triangle by adding the point (4, -5). The horizontal leg goes from (-1,-5) to (4,-5) which is a span of 5 units. The vertical leg goes from (4,-5) to (4,3) which is a span of 8 units. The hypotenuse is from (-1,-5) to (4,3) which is the distance we want to find.

After forming the triangle and determining the leg lengths, use the pythagorean theorem and you should get [tex]\sqrt{89}[/tex] as the length of the hypotenuse. As you can probably guess, the distance formula is effectively a slight rephrasing the pythagorean theorem.

Answer:

C 0.0361

Step-by-step explanation:

The probability that the color of the first car is silver and the color of the second car is also siver is 0.0361.

Given that,

Based on the above information, the calculation is as follows:

[tex]= 0.19\times 0.19[/tex]

= 0.0361

Learn more: brainly.com/question/17429689

Answer:

C typing 210 words in 5 min

Step-by-step explanation:

We know that in one minute 42 words can be done. So in 5 minutes how much can be done?

I multiplied 42x5 which gave me 210.

I hope this helps

Answer:

[tex]V=48 inch^3[/tex]

Step-by-step explanation:

From the question we are told that:

Length of prism l=6 inches

Width of prism w=2 inches

Height of prism h=4 inches

Generally the equation for Volume of rectangular prism is mathematically given by

 [tex]V=l*w*h[/tex]

 [tex]V=6*2*4[/tex]

 [tex]V=48 inch^3[/tex]

Therefore of Volume of rectangular prism is

[tex]V=48 inch^3[/tex]

Answer:

b = $5

s = $6

Step-by-step explanation:

this can be solved using simultaneous equation

s = streamers

b = balloons

either of the 3 equations can be used to determine the price of the items

11b + 6s = 91 equation 1

15b + 4s = 99 equation 2

multiply equation 1 by 4 and equation 2 by 6

44b + 24s = 364 eqn 3

90b + 24s = 594 eqn 4

subtract equation 3 from 4

230 = 46b

b = 5

substitute for b in eqn 1

55 + 6s = 91

s = 6

Answer:

Decreased value- 2,170  

Absolute difference- 4,030

Step-by-step explanation:

Answer:

13, -1

Step-by-step explanation:

Answer:

14 minus negative 1 that would be 14 and -1

Step-by-step explanation:

Answer:

-138

Step-by-step explanation:

Answer:

6(-5)+(-18)

= -30+ (-18)

= -30-18

= -48

Step-by-step explanation:

i hope this helps :)

Circumference of a circle is pi x diameter

Circumference = 3.14 x 8 = 25.12 feet.

Arc AB is 45 degrees.

Arc length = circumference x angle/360

Arc length = 25.12 x 45/360 = 3.14 feet

Answer: 3.14 feet

Answer:

3 cups would be left or 1.5 pints.

Step-by-step explanation:

1 pint is equal to 2 cups.

Answer: 1206.4un^3

Step-by-step explanation:

πr2h

= π×82×6

= 384π

= 1206.3715789785 un^3

Answer:

If x+8 is a factor, divide by -8.

-8      1   18   80

             -8  -80

_______________

       1     10      0

It is a factor because there is no remainder.

Step-by-step explanation:

Answer:

$14

Step-by-step explanation:

The total amount, C charged by an electrician for h hours of work is ;

C= 7h+125

If the electrician spends 2 more hours on Sanchez job than Ronald, then the amount Mrs Sanchez paid more than Ronald can be obtained thus:

From the equation :

C= 7h+125

The slope relation with number of hours worked gives the change in amount paid for differebt work hours. Since the intercept is constant, we ignore its value in this exercise.

For 2 more hours of work :

Additional amount = 7h ; h = 2

7h = 7 * 2 = 14

Hence, Mrs Sanchez pays $14 more.

Answer:

your answer is B AB CE and BE DE

So mark me as brainliest

The statements that are necessary and sufficient to prove that ABCD is a parallelogram are, (B), (C) and (D).

A basic quadrilateral with two sets of parallel sides is known as a parallelogram. In a parallelogram, the opposing or confronting sides are of equal length, and the opposing angles are of equal size.

The area of a parallelogram is base multiples by height as two triangles form a parallelogram.

From the properties of parallelograms the statements that are necessary and sufficient to prove that ABCD is a parallelogram are,

[tex]\overline{AE}[/tex] ≅ [tex]\overline{CE}[/tex] and [tex]\overline{BE}[/tex] ≅ [tex]\overline{DE}[/tex]  as diagonal of a parallelogram bisect each other.

[tex]\overline{AB}[/tex] ≅ [tex]\overline{CD}[/tex] and [tex]\overline{BE}[/tex] ≅ [tex]\overline{CE}[/tex] opposite sides of a parallelogram are equal.

m∠ABC + m∠BAD is 180° as the sum of the adjacent sides in a parallelogram are supplementary.

learn more about parallelograms here :

https://brainly.com/question/29717080

#SPJ2

Answer:

Equation = 9i + 9j + 2k - λ ( 8i + 6j - 3k)

Step-by-step explanation:

Vector equation of a line passing through two points A & B is : r = a + λ(b - a)

Given A = (9,9,2) ; B = (1,3,5)

Equation of line : r = 9i + 9j + 2k + λ [ (1-9) i + (3-9) j + (5-2) k ]

= 9i + 9j + 2k + λ ( -8i + -6j + 3k)

= 9i + 9j + 2k - λ ( 8i + 6j - 3k)

Answer:

a

Step-by-step explanation:

Answer:

Part A

The 10% rule is not met

Part B

The normal condition is not met

Step-by-step explanation:

The given data of the pieces of chocolate are;

The number of chocolates in the sample, n = 18

The number of white chocolate in the batch = 17

The number of dark chocolates in the batch = 43

Given that [tex]\hat p[/tex] is the proportion of white chocolates in the sample, we have;

The proportion of white chocolates in the batch, p = 17/60 = 0.28[tex]\overline 3[/tex]

Part A

The 10% condition states that the size of the sample should be less than or equal to 10% of the population because taking samples without replacing them does not result in independent Bernoulli trials

The given sample size, n = 18, which is 18/60×100 = 30% > 10% of the batch, therefore, the 10% rule is not met in the present situation

Part B

The normal approximation can be assumed when we have;

n·p > 10 and n·p·(1 - p) > 10

By plugging in the values for 'n' and 'p', we have;

p = 0.28[tex]\overline 3[/tex] = 17/60

n·p = 18 × 17/60 = 5.1 < 10

n·p·(1 - p) = 18 × 17/60 × (1 - 17/60) = 3.655 < 10

Therefore the normal condition is not met.

Answer:

the answer is square

Answer:

start by going to the left three spaces over on the "X" axis (-3)

then go down seven spaces until both the "X" axis is over -3 and the -7 is on "Y" axis

(hope I helped)

Answer:

56 and there will be 1 foot of ribbon left over

Step-by-step explanation:

225/4=56.25

Given:

Jerome ate 1/2 of the sandwich , Kevin ate 1/3 of the sandwich, and Seth ate the rest.

To find:

The ratio of jerome's share to kevin's share to seth's share.

Solution:

Jerome ate 1/2 of the sandwich. So,

Jerome's share = [tex]\dfrac{1}{2}[/tex]

Kevin ate 1/3 of the sandwich. So,

Kevin's share = [tex]\dfrac{1}{3}[/tex]

Seth ate the rest. So,

Seth's share = [tex]1-\dfrac{1}{2}-\dfrac{1}{3}[/tex]

                     = [tex]\dfrac{6-3-2}{6}[/tex]

                    = [tex]\dfrac{1}{6}[/tex]

The ratio of jerome's share to kevin's share to seth's share is:

[tex]\dfrac{1}{2}:\dfrac{1}{3}:\dfrac{1}{6}[/tex]

To simplify the ratio multiply the ratio by 6.

[tex]\dfrac{1}{2}\times 6:\dfrac{1}{3}\times 6:\dfrac{1}{6}\times 6[/tex]

[tex]3:2:1[/tex]

Therefore, the ratio of jerome's share to kevin's share to seth's share is 3:2:1.

Answer:

(b)

[tex]V_2 = \frac{\pi}{4} [ \frac{(2r)^2h}{3}][/tex] or [tex]V_2 = \frac{1}{3}\pi r^2h[/tex]

Step-by-step explanation:

Given

[tex]Ratio = \frac{\pi}{4}[/tex]

See attachment for complete question

Required

Determine the volume of the cone

The volume of a square pyramid is:

[tex]V = \frac{a^2h}{3}[/tex]

Where

a = base dimension

From the attachment, the base dimension of the square pyramid is 2r.

So:

[tex]a = 2r[/tex]

The volume becomes;

[tex]V = \frac{(2r)^2h}{3}[/tex]

To calculate the volume of the cone, we simply multiply the given ratio and the volume of the prism.

So, we have:

[tex]V_2 = Ratio * V[/tex]

[tex]V_2 = \frac{\pi}{4} [ \frac{(2r)^2h}{3}][/tex]

[tex]V_2 = \frac{\pi}{4} * \frac{(2r)^2h}{3}[/tex]

Open bracket;

[tex]V_2 = \frac{\pi}{4} * \frac{4r^2h}{3}[/tex]

Cancel out 4

[tex]V_2 = \pi * \frac{r^2h}{3}[/tex]

The above can be written as:

[tex]V_2 = \frac{1}{3} * \pi r^2h[/tex]

[tex]V_2 = \frac{1}{3}\pi r^2h[/tex]

So, we have:

[tex]V_2 = \frac{\pi}{4} [ \frac{(2r)^2h}{3}][/tex]

or

[tex]V_2 = \frac{1}{3}\pi r^2h[/tex]

Answer:

this is kinda confusing..So ill just answer the first question.

hope it helps.