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Charra [1.4K]
2 years ago
13

A line is parallel to the line y = x and passes

Mathematics
1 answer:
olga2289 [7]2 years ago
4 0

Answer:

Step-by-step explanation:

hello here is an solution

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<img src="https://tex.z-dn.net/?f=%5Cfrac%7B2%2Bh%7D%7B9%7D%2B%5Cfrac%7Bh-1%7D%7B3%7D%3D%5Cfrac%7B1%7D%7B3%7D" id="TexFormula1"
yKpoI14uk [10]

Step-by-step explanation:

Multiply both sides by 9 and you will get

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

or

2 + h + 3h - 3 = 3

Solving for h, we get

4h = 4 \Rightarrow h = 1

6 0
2 years ago
How many ways can 5 apple trees, 4 pear trees, and 3 cherry trees be arranged along a fence line?
Tems11 [23]

Answer:

60

Step-by-step explanation:

5 x 4 x 3=60

3 0
2 years ago
Read 2 more answers
8. 36.8 = [11.5 – (2.5 X 3)]2
Anestetic [448]

Answer:

[11.5-(2.5*3)]^2=16

Step-by-step explanation:

We want to evaluate [11.5-(2.5*3)]^2

Let us evaluate within the parenthesis first:

[11.5-(2.5*3)]^2=[11.5-(7.5)]^2

\implies [11.5-(2.5*3)]^2=[11.5-7.5]^2

We again subtract within the bracket to obtain:

[11.5-(2.5*3)]^2=[4]^2

This finally gives us:

[11.5-(2.5*3)]^2=16

6 0
2 years ago
I need help on these question ASAP!!!! This is Urgent
GarryVolchara [31]

Part 1: The equation of the line is y=2x+1

Part 2: The equation of the line in slope intercept form is y=-3x-1

Explanation:

Part 1: It is given that the point A is (1,3) and the line B is y=2 x-2

To determine the line passing through the point A and parallel to line B, let us first determine the slope and y-intercept.

From the equation of line B, the slope is m=2

Substituting the point (1,3) and m=2 in slope intercept form y=mx+b, we have,

3=2(1)+b

3=2+b

1=b

Thus, the y-intercept is b=1

Let us substitute the values m=2 and b=1 in the slope intercept form y=mx+b, we get,

y=2x+1

Thus, the equation of the line passing though point A and parallel to line B is y=2x+1

Part 2: The given two coordinates are (-1,2) and (1,-4)

To determine the equation of line in slope intercept form, first we shall find the slope and y-intercept.

From the graph, we can see that the line touches the y-axis at -1.

Hence, the y-intercept is b=-1

The formula for slope is m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

Substituting the coordinates (-1,2) and (1,-4), we have,

m=\frac{-4-2}{1+1} =\frac{-6}{2} =-3

Thus, the slope is m=-3

Substituting the values b=-1 and m=-3 in the slope intercept formula y=mx+b, we get,

y=-3x-1

Thus, the equation of the line in slope intercept form is y=-3x-1

4 0
3 years ago
Assume a normal distribution and that the average phone call in a certain town lasted 4 min, with a standard deviation of 1 min.
olya-2409 [2.1K]

SOLUTION

The mean is 4min

standard deviation is 1min

the z score is

z=\frac{x-\bar{x}}{\sigma}

where

\begin{gathered} x=3 \\ \bar{x}=4 \\ \sigma=1 \end{gathered}

then we have

\begin{gathered} z=\frac{3-4}{1}=\frac{-1}{1}=-1 \\ z=-1 \end{gathered}

The probability the call lasted less than 3 min will be

Therefore, the probability that (z < -1 ) is

[tex]\begin{gathered} Pr(z<-1)=Pr(0Hence, the percentage of the calls that lasted less than 3 min is 16%

4 0
1 year ago
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