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larisa86 [58]
3 years ago
7

identify an equation in point slope form for the line perpendicular to the y=-1/2x+11 that passes through (4,-8). a. y+8=1/2(x-4

) b. y-4=2(x+8) c. y-8=1/2(x+4) d. y+8=2(x-4)
Mathematics
1 answer:
Solnce55 [7]3 years ago
3 0

Answer:

d. y+8=2(x-4)

Step-by-step explanation:

There are 2 important parts to this question. First, understanding which slopes are perpendicular. The negative reciprocal of a number will be perpendicular to it. So, since the original slope is -1/2 the new slope should be 2.

Then, remember what the point-slope formula is. The point-slope formula is: y-y_{2}=m(x-x_{2}). So if you plug in the point and slope the new equation looks like, y--8=2(x-4). Then, simplify for the final answer of y+8=2(x-4).

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Identify the type of hypothesis test below. H0:X=10.2, Ha:X>10.2 Select the correct answer below: The hypothesis test is two-
Ganezh [65]

Answer:

The hypothesis test is right-tailed

Step-by-step explanation:

To identify a one tailed test, the claim in the case study tests for the either of the two options of greater or less than the mean value in the null hypothesis.

While for a two tailed test, the claim always test for both options: greater and less than the mean value.

Thus given this: H0:X=10.2, Ha:X>10.2, there is only the option of > in the alternative claim thus it is a one tailed hypothesis test and right tailed.

A test with the greater than option is right tailed while that with the less than option is left tailed.

4 0
3 years ago
Base area: 12.5 m2; height: 1.2 m
Novay_Z [31]

Answer:

Volume = 150 m^2

Step-by-step explanation:

Using Volume formula of prism, we get L*W*H, but since we know the area of the base is L*W, which is 12.5, we multiply 12.5 by 12 to get 150 m^2.

7 0
3 years ago
For what values (cases) of the variables the expression does not exist: <img src="https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B4y%2B
stealth61 [152]

Answer:

y = - \frac{1}{2}

Step-by-step explanation:

Given

\frac{3}{4y+2}

The denominator of the expression cannot be zero as this would make it undefined. Equating the denominator to zero and solving gives the value that y cannot be, that is

4y + 2 = 0 ( subtract 2 from both sides )

4y = - 2 ( divide both sides by 4 )

y = \frac{-2}{4} = - \frac{1}{2} ← excluded value

6 0
3 years ago
A washer and a dryer cost $1029 combined. The washer costs $79 more than the dryer. What is the cost of the dryer?
Darina [25.2K]
X = dryer
(X+79) = washer
X + (X+79) = $1029
Therefore, x+x+79= 1029 or 2x+79=1029
Solve for x

2x = 1029-79
2x = 950

2x/2 = 950/2

X= $475 The price of the dryer is $475
4 0
3 years ago
Read 2 more answers
Find the compound interest on Rs. 2000 for one year at the rate of '20%' per annum. If theinterest compounded quarterly.​
trasher [3.6K]

Given:

Principal = Rs. 2000

Rate of interest = 20% p.a. compounded quarterly.

Time = 1 year

To find:

The compound interest.

Solution:

Formula for amount:

A=P\left (1+\dfrac{r}{n}\right)^{nt}

where,

P = Principal

r = Rate of interest

t= Time

n = number of times interest compounded in an year.

Putting P=2000, r=0.2, n=4 and t=1, we get

A=2000\left (1+\dfrac{0.2}{4}\right)^{4(1)}

A=2000\left (1.05\right)^{4}

A=2000\left (1.21550625\right)

A=2431.0125

Now, the compound interest is

C.I.=A-P

C.I.=2431.0125-2000

C.I.=431.0125

Therefore, the compound interest is Rs 431.0125.

3 0
3 years ago
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