A line passes through points
(8, - 2) and
(-5, 7). Which ratio can be used to determine the slope of the line?
7+2/
8+5

7-2/
-5-8

8+5/
-2+7

7+2/
-5-8

Answer:

210

14x15=210

Step-by-step explanation:

14x15 =210

Using the formula;

H= ut + 1/2 gt²

The initial velocity = 0

Hence H= 1/2 gt²

g= 10m/s t= 5.78 s

H = 1/2 x 10 x 5.78²

H = 167.042 m

H = 167 m approximately

Answer: x(x+1)(x-1)

Step-by-step explanation:

x²+x=x(x+1)

x²-1=(x+1)(x-1)

x²-x=x(x-1)

ans:x(x+1)(x-1)

Step-by-step explanation:

Answer:

Step-by-step explanation:

4) a // b

∠11 ≅ ∠3.  so, they are corresponding angles.

a // b

5) c) alternate exterior angles

Answer:

70°

Step-by-step explanation:

Measure of the minor arc NM is 70° because measure of its corresponding central angle is 70°

Answer: The correct number is 0.  

Step-by-step explanation:

2+0 = 2

2+0 = 2

2+(-2) = 0

0+0 = 0

0+0 =0

Answer:

Step-by-step explanation:

Drop an angle bisector from angle C until it intersects AB. Because of the symmetry of the triangles created, you will form two small right angle congruent triangles. Call the point of intersection with AB = D. In other words the bisector of <C is CD.

CB = AC                          Isosceles triangle

CD / CB = Sin(38.5)        

  CD=?

  CB = 35

CD / 35 = Sin(38.5)      Multiply both sides by 35

CD = 35 * sin(38.5)

CD = 21.79

BD/CB  =  Cos(38.5)

BD = CB* Cos(38.5)

BD = 35 * Cos (38.5)

BD = 27.39

Area = CD * BA/2

BA/2 = DB

Area = CD * BD

Area = 21.79 * 27.39

Area = 596.9

Answer:

596.8 units^2

Answer:

a= 1/4 , h=8 , k = -12

Step-by-step explanation:

There is really not much to say.

\(y=\frac{1}{x}\) , \(y=\frac{1}{4x-32}-12\)

Factor the denominator by 1/4.

\(y=\frac{1}{4(x-8)}-12\)

You got your formula: \(y=\frac{a}{x-h}+k\)⇒\(y=a\frac{1}{x-h}+k\)
a= 1/4 means to shrink due to it being fraction.

h=8 means 8 right

k = -12 means 12 down.

Answer:

Step-by-step explanation:

she is wrong the right answer is 15.98

The mean change in heart rate is 0.28 , around to 2 decimal places.

What is mean?

In statistics, the mean is nothing but  the measures of central tendency, apart from the mode and median. Mean is the average of the given set of values or data. It denotes the equivalent distribution of values for a given data set. To calculate the mean of given data, we need to add the total values given in a datasheet and  then divide the sum by the total number of values.

The change in heart rate for the 10 individuals are as follows

(1.8, -0.4, -0.6, 0.4, 0.2, -1.0, 1.6, 0.8, 2.0, -2.0).

So the data is given by,

(1.8, -0.4, -0.6, 0.4, 0.2, -1.0, 1.6, 0.8, 2.0, -2.0).

Mean of the given data = sum of all data/ number of data

Mean = (1.8-0.4 -0.6+0.4+ 0.2 -1.0+1.6+ 0.8+2.0-2.0)/10

         = 2.8/10

         =0.28

Hence, the mean change in heart rate is 0.28 , around to 2 decimal places.

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Answer:

The answer is 7.

Step-by-step explanation:

If you want to find what FE is, you have subtract GF from GE (GE - GF = FE).

Since GE = 13 and GF = 6, you have to subtract 6 from 13 which equals 7.

(13 - 6 = 7)

Answer:

$5 for one person to rent a locker

Step-by-step explanation:

Assuming the $18 is for one person, then two people it would be $36, since $18 + $18 = $36 and it's stated there's two people. If you subtract $36 from $46 you get $10, and since it's for two people you split it in half (so basically divide by 2) you get $5 for a locker.

Hope this helps!

Answer:

13.205

Step-by-step explanation:

19.46 divided by 14

= 1.39

Multiply 1.39 with gallons given:

=(9.5)(1.39)

= 13.205

Therefore, it would cost $13.21 to get 9.5 gallons of gas.

Answer:

The answer is D

Step-by-step explanation:

Don't worry, no links here :)

Answer:

Step-by-step explanation:

25=k/5     k=5

25=5/5 is impossible it comes out to be 25=1

Now if you are squaring, 25=k^2 because 5*5=25

Jerry will able to make 3 pancakes if he has 4 1/2 cup of strawberry from which he make use of 3/4 strawberry to make breakfast smoothie and he need 1 1/4 cup of strawberries to make one pancake.

Total strawberry Jerry has = 4 1/2 cup = 9/2 cups

Strawberry used to make smoothies = 3/4 cup

Remaining strawberries

= 9/2 - 3/4

= (18-3)/4 = 15/4

To make one pancake, Jerry needs = 1 1/4 cup = 5/4 cup

Number of pancakes Jerry can make = 15/4/5/4 = 3 pancakes

Hence, the number of pancakes, Jerry can make is 3

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The probability that X is between 57 and 105 is 0.8914.

Given:

* X is normally distributed with mean=90 and standard deviation=12

* P(57 < X < 105)

Solution:

* Convert the given values to z-scores:

   * z = (X - μ) / σ

   * z = (57 - 90) / 12 = -2.50

   * z = (105 - 90) / 12 = 1.25

* Use the z-table to find the probability:

   * P(Z < -2.50) = 0.0062

   * P(Z < 1.25) = 0.8944

* Add the probabilities to find the total probability:

   * P(57 < X < 105) = 0.0062 + 0.8944 = 0.8914

Therefore, the probability that X is between 57 and 105 is 0.8914.

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Answer:

1st choice

Step-by-step explanation:

(r² -4r + 5 - r² -2r + 8) / (r - 4)

= (-6r + 13) / (r - 4)

The distance between the points u= 0 −6 3 and z= −2 −1 8 is approximately 9.95 units.

To calculate the distance between two points in three-dimensional space, we can use the distance formula, which is derived from the Pythagorean theorem. The distance formula states that the distance between two points (x1, y1, z1) and (x2, y2, z2) is equal to the square root of [(x2 - x1)^2 + (y2 - y1)^2 + (z2 - z1)^2].

Using this formula, we can find the distance between u and z as follows:

d = sqrt[(-2 - 0)^2 + (-1 - (-6))^2 + (8 - 3)^2]

= sqrt[4 + 25 + 25]

= sqrt(54)

≈ 9.95

Therefore, the distance between the points u and z is approximately 9.95 units.

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Answer: b) 68%

Step-by-step explanation:

Gross margin is used to calculate the amount left of revenue after the costs of goods sold is accounted for.

The formula is:

= (Revenue - Cost) / Revenue

= (28,675 - 9,274) / 28,675

= 0.67658

= 68%

Answer:

5.15

Step-by-step explanation:

The largest number of fence post that can possibly be cut from the log is 23.8( nearest tenth)

A word problem in math is a math question written as one sentence or more. This statements are interpreted into mathematical equation or expression.

For us to know the number of fence post that can be obtained from the log, we need to convert the length of the log into cm

Therefore;

1m = 100cm

16m = 16× 100 = 1600 cm

Therefore the maximum number of fence post that can be obtained is

1600/70 = 160/7

= 23.8 ( nearest tenth)

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Triangle ABC is similar to triangle ADE by AA test of similarity

Similarity is a property which says that the respective angles of two triangles are of equal measure and corresponding sides are in proportion.

here, we have,

There are different types of similarity test by which we can prove the similarity of triangles.

We are given that BC is parallel to Line DE

As the lines are parallel the respective angle are corresponding angles

hence Angle D = Angle B

And Angle E = Angle C

And both triangle have angle A as common angle

By AA test of similarity we can say that the two triangles are similar

Hence by AA test similarity the two triangles are similar

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Answer:

m=25

Step-by-step explanation:

You want to divide 250 by 10 to find the number of weeks it would take him to pay back his parents. which would be 25. It would take Gavin 25 weeks to pay his parents back. m(w)=0 just is telling you the worth of that part of the equation.

It's volume is 3175 cm.

Answer:

C and E

Step-by-step explanation:

C and E are the only ones that are the same and represent the excerpt

Hope this help s plz mark brainliest if correct :D

Answer:

the last answer and the 3rd one

Step-by-step explanation:

the probability that a randomly selected day from 2013 will have a group trades total within 85,000 of the mean is  0.1328

Mean (u) = 3421439

Standard deviation = 508638.08

We know that:

z = x-u/sd

Now,

P(u - 85000 <= x <= u + 85000)

u = 3421439

We have to put thus in the formula above

= P(3421439 - 85000 and

3421439 + 85000)

= P(3336439,  3506439)

= (3336439 - 3421439) / 508638.08

,3506439-3421439) / 508638.08)

= prob(-0.1671 and 0.1671

under the z table this is

= 0.5664 - 0.4336

= 0.1328

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Answer:

u=2

Step-by-step explanation:

8u-21 = 2u-9

+21             +21

8u= 2u + 12

-2u    -2u

6u= 12

divide by 6, u=2 !!

Answer:

u = 2

Step-by-step explanation:

8u - 21 = 2u - 9

subtract 2 u from both sides

6u - 21 = -9

add 21 to both sides

6u = 12

divide both sides by 6

u = 2

hope this helps

The percentage off of the coupon is 25%

From the question, we have the following parameters that can be used in our computation:

Normal price = $24

Amount saved = $6

The above parameters mean that

Percentage of the coupon = Amount saved/Normal price

Substitute the known values in the above equation, so, we have the following representation

Percentage of the coupon = 6/24

Evaluate

Percentage of the coupon = 25%

Hence, the percentage is 25%

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