QUESTION 8
In the linear equation y = 2x - 8, the slope of the line is
-2.
-8
2
8
​

Answer:

BD = 4

Step-by-step explanation:

∆BAD is congruent to ∆CAD based on the AAS Congruence Theorem.

Therefore:

BD = CD

3x + 1 = 5x - 1 (substitution)

Collect like terms

3x - 5x = -1 - 1

-2x = -2

Divide both sides by -2

x = -2/-2

x = 1

✔️BD = 3x + 1

Plug in the value of x

BD = 3(1) + 1

BD = 3 + 1

BD = 4

Answer:

B and C

Step-by-step explanation:

I think that this is right.

A pentagon's lines of symmetry go thru an angle and the middle of a side. Every 72 degrees, the pentagon in split into identical halves. Same with 144 because it is basically 2 72 degree rotations.

Answer:

72

Step-by-step explanation:

The order of rotational symmetry of a regular pentagon is 5.

To find the angle of rotation we divide 360 by the number of sides

360/5=72

so the angle of rotation is 72 degrees.

Given:

The quadratic equation is

[tex]-2x^2-y+10x-7=0[/tex]

To find:

The vertex of the given quadratic equation.

Solution:

If a quadratic function is [tex]f(x)=ax^2+bx+c[/tex], then

[tex]Vertex=\left(\dfrac{-b}{2a},f(\dfrac{-b}{2a})\right)[/tex]

We have,

[tex]-2x^2-y+10x-7=0[/tex]

It can be written as

[tex]-2x^2+10x-7=y[/tex]

[tex]y=-2x^2+10x-7[/tex]           ...(i)

Here, [tex]a=-2,b=10,c=-7[/tex].

[tex]\dfrac{-b}{2a}=\dfrac{-10}{2(-2)}[/tex]

[tex]\dfrac{-b}{2a}=\dfrac{-10}{-4}[/tex]

[tex]\dfrac{-b}{2a}=\dfrac{5}{2}[/tex]

Putting [tex]x=\dfrac{5}{2}[/tex] in (i), we get

[tex]y=-2(\dfrac{5}{2})^2+10(\dfrac{5}{2})-7[/tex]

[tex]y=-2(\dfrac{25}{4})+\dfrac{50}{2}-7[/tex]

[tex]y=\dfrac{-50}{4}+25-7[/tex]

[tex]y=\dfrac{-25}{2}+18[/tex]

On further simplification, we get

[tex]y=\dfrac{-25+36}{2}[/tex]

[tex]y=\dfrac{11}{2}[/tex]

So, the vertex of the given quadratic equation is [tex]\left(\dfrac{5}{2},\dfrac{11}{2}\right)[/tex].

Therefore, the correct option is A.

The groups of values plugged into the TVM Solver of a graphing calculator will give the monthly payment for a 30-year loan for $265,000 at 5.9% interest, compounded monthly are,

N=360, 1% = 5.9; PV=-265000; PMT=; FV=0; P/Y=12; C/Y=12; PMT:END.

The correct option is C.

Compound interest is computed as interest on the principle of an account plus any accrued interest.

Compound interest can be calculated using the following formula:

x = P (1+r/n

,where x = compound interest

P = principal (the initial deposit or loan amount)

r = annual interest rate

n = the number of compounding periods per unit of time

t = the number of time units the money is invested or borrowed for

Given:

TVM Solver of a graphing calculator will give the monthly payment for a 30-year loan for $265,000 at 5.9% interest, compounded monthly.

Then,

N: The overall amount of payments. Calculating this is simple if you multiply the P/Y by the number of years.

I%: Interest rate per year. Enter this rate as a percentage at all times!

Present Value, or PV: This is the sum of your investment or the loan.

PMT: The sum due.

Future Value (FV): This is your desired level of savings or, if you are calculating loans, your projected loan balance at maturity.

P/Y: The quantity of payment intervals per year.

C/Y: The quantity of compounding cycles each year.

N=360, 1% = 5.9; PV=-265000; PMT=; FV=0; P/Y=12; C/Y=12; PMT:END

Therefore,  N=360, 1% = 5.9; PV=-265000; PMT=; FV=0; P/Y=12; C/Y=12; PMT:END.

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Answerz=16

Step-by-step explanation:

Answer:

Option A and D will be your answer

Step-by-step explanation:

hope it helps

Answer:

7

Step-by-step explanation:

Answer:

0.0156 probability that they got three cats.

0.4219 probability that they got three dogs.

Step-by-step explanation:

For each person there are only two possible outcomes. Either they adopted a dog, or a cat. The probability of a person adopting a cat or a dog is independent of any other person, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

Three people:

This means that [tex]n = 3[/tex]

What's the probability that they got three cats?

25% of the time it's a cat adopted, which means that [tex]p = 0.25[/tex]

This is P(X = 3). So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 3) = C_{3,3}.(0.25)^{3}.(0.75)^{0} = 0.0156[/tex]

0.0156 probability that they got three cats.

What's the probability that they got three dogs?

75% of the time it's a dog adopted, which means that [tex]p = 0.75[/tex]

This is P(X = 3). So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 3) = C_{3,3}.(0.75)^{3}.(0.25)^{0} = 0.4219[/tex]

0.4219 probability that they got three dogs.

Answer:

uhhhh

Step-by-step explanation:

Answer: D

Step-by-step explanation: The answer wouldn't be A because all the information is there, B is out because the question tells you there is a correlation between the two, and C is out because it has a more negative affect than positive.

1/4x+7 passes through (4,8) but to make it pass through (1,2) and (3,-4) would be better for perpendicular. perpendicular is -4x+6 for (1,2) and (3,-4) which is kind of the closes i had time to play with it.

Answer:

313,920 boxes

Step-by-step explanation:

that good

The number of boxes Graphic Design Works is able to store is 314182 boxes.

Volume is the measure of the capacity that an object holds.

Formula to find the volume of the object is Volume = Area of a base × Height.

Given that, Graphic Design Works ships the T-shirts it makes in boxes that measure 22 in × 20 in × 20 in.

Here, the volume of box = 22×20×20

= 8800 cubic inches

The company rents a storage space that measures 200 ft × 200 ft × 40 ft

Here, 200 ft = 2400 inches, 40 ft = 480 inches

Volume of a storage space

= 2400×2400×480

= 2764800000 cubic inches

Here, the number boxes = 2764800000/8800

= 314181.8

≈ 314182

Therefore, the number of boxes Graphic Design Works is able to store is 314182 boxes.

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Answer:

3.6m

Step-by-step explanation:

Answer:

an outlier is a number that is at least 2 standard deviations away from the mean for example in the set 1,1,1,1,1,1,1,1,1,7,7,7 would be the outlier

Step-by-step explanation:

watashi wa sore ga tadashī koto o negatte imasu

arigatozaimasu!!

Step-by-step explanation:

i have noooo idea but ayyeee

Answer:

Fluorine

Argon

Krypton

Chlorine

Answer:

1/3

Step-by-step explanation:

Answer:

1/3

Step-by-step explanation:

2/3 * 1/2 = 1/3

Answer:

[tex]\huge\boxed{\tt{\frac{8}{63} }}[/tex]

Step-by-step explanation:

[tex]\displaystyle \frac{8}{9} * \frac{1}{7} \\\\= \frac{8*1}{9*7} \\\\= \frac{8}{63} \\\\\rule[225]{225}{2}[/tex]

Hope this helped!

The answer is d>3

I cant put it graphed but it is open circle on three and the line pointing 4, 5, 6, 7,

Answer:

True.

We can see that the line goes through (0, 0), however, the line is not dotted, therefore that point is included. (0,0) also coincides with the other inequality, which means that (0, 0) is a solution.

Answer:

The area of the circle is 113.097

Hope this helped!

Please give brainliest if it helped!

Answer:

1,0

8/15,-7/25

Step-by-step explanation:

3x - 5y = 3

5y = 3x-3

y = (3x-3)/5

y= 3x² -4x +1

or, (3x-3)/5 = 3x²-4x +1

or, 3x-3 = 15x²-20x+5

or, 15x² - 23x +8 =0

or, 15x² - (15+8)x +8 =0

or, 15x² - 15x -8x +8 = 0

or, 15x (x - 1) -8(x-1) =0

or, (x-1)(15x-8)=0

Either,

x-1=0

x = 1

when x=1,

y= 0

or,

15x-8=0

x=8/15

when x= 8/15,

y= -7/25

Answer:

Its slope is

m = -1/(1/2) = -2

y = -2x + b

Get b from the given point.

-4 = -2(6) + b

b = 8

y = -2x + 8

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given slope (m) = -3/4

and x1 = 6

and y1 = 4

Solve for b (y2) using x2 = 0.
m = -3/4 = (y2-y1)/(x2-x1)

-3/4 = (4-y1)/(6-0)

-3/4 = (4-y1)/6

-(3/4)*6 = 4 - y1

-18/4 = 4 - y1

y1 = b = 16/4 + 18/4 = 34/4 = 8 1/2

therefore the correct answer should be:

Equation of the line:

y = -3/4x + 8 1/2

Answer is in the photo. I can only upload it to a file hosting service. link below!

tinyurl.com/wpazsebu