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Lisa [10]
3 years ago
14

A line has a slope of 2 and passes (5,3). Find a coordinate of another point this line will pass through. Plz show work.

Mathematics
2 answers:
Snowcat [4.5K]3 years ago
4 0

Answer:

(6,5)

Step-by-step explanation:

The slope means y travels 2 while x travels 1. So 5+1 would be x and 3+2 would be y.

alexgriva [62]3 years ago
4 0

Answer: (0,-7)

Step-by-step explanation:

Use the slope intercept formula y = mx+b to solve for b

Substitute your given values: slope of 2 for m, use the point given (5,3) where 5 is the x value, and 3 is the y value, then solve for b.

3=2*5 +b

3=10+b

b= -7

Since b is the y intercept its x coordinate is 0. So the point is (0,-7)

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Fred had 108!dollars to spend on 6 books after buying them he had 18 dollars how much did each book cost?
lana [24]
Each book costs $15. since he had 18 dollars left, you can subtract 18 from 108. then divide that answer by 6. 90/6 = 15.
Hope that helped!
7 0
3 years ago
2. The ordered pairs represent the ages of school
Hitman42 [59]
My answered came at B I’m not sure though but I hope it is correct!!
4 0
3 years ago
two blocks of wood are shaped as right rectangle prisms the smaller block has a length of 9 cm a width of 3 cm and a height of 7
dolphi86 [110]

Answer:

1,512 cm³

Step-by-step explanation:

The general formula for the volume of a prism is:

V= Bh, where B = the area of the base and h = height of the prism

Given the dimensions of the smaller block as 9cm x 3cm x 7cm, then the dimensions of the larger block (double the dimensions of the smaller block) must be 18cm x 6cm x 14cm.  Using these measurements:

V = (18)(6)(14) = 1,512 cm³

3 0
3 years ago
David made a triangle with sides 6 cm, 9cm , 12 cm. George wanted to make a triangle bigger in size but similar to that drawn by
SashulF [63]

Step-by-step explanation:

Given :

\triangle ABC \sim \triangle XYZ .△ABC∼△XYZ.

AB = 6\:cm, \:BC = 9 \:cm, CA = 12 \:cmAB=6cm,BC=9cm,CA=12cm

Let \: XY = 10\:cm, \:YZ = x \:cm, \: XZ = y /:cmLetXY=10cm,YZ=xcm,XZ=y/:cm

\frac{AB}{XY} = \frac{BC}{x} = \frac{CA}{y}XYAB=xBC=yCA

\blue {( The \: lengths \:of \: corresponding }(Thelengthsofcorresponding

\blue {sides \:are \: proportional .)}sidesareproportional.)

\implies \frac{6}{10} = \frac{9}{x} = \frac{12}{y}⟹106=x9=y12

i) \implies \frac{6}{10} = \frac{9}{x}i)⟹106=x9

\implies x = \frac{9 \times 10}{6}⟹x=69×10

\implies x = 15\:cm⟹x=15cm

ii) \implies \frac{6}{10} = \frac{12}{y}ii)⟹106=y12

\implies y = \frac{12 \times 10}{6}⟹y=612×10

\implies y = 20\:cm⟹y=20cm

Therefore.,

\red { Value \:of \:x } \green { = 15\:cm }Valueofx=15cm

\red { Value \:of \:y } \green { = 20\:cm }Valueofy=20cm

•••♪

8 0
3 years ago
A regional planner employed by a public university is studying the demographics of nine counties in the eastern region of an Atl
Brilliant_brown [7]

Answer:

Step-by-step explanation:

Hello!

Given the variables:

X₁: Median Age

X₂: Median Income

b) Considering it from a logical point of view, income changes with age, for example, the more experienced the worker is you would think he would get a better paying job than a younger worker who is just starting. Then the dependent variable will be the median income and the independent variable will be the median age.

a)  and c)

To see if there is a linear regression between the median income and median age you have to conduct a hypothesis test for the slope. If the slope is equal to zero, there is no linear regression between the two variables, if it is different to zero, there is a regression between the two of them:

H₀: β=0

H₁: β≠0

α: 0.05

t= \frac{b-\beta }{Sb} ~~t_{n-2}

The estimated regression equation for this regression ^Yi= 20.01 + 0.50X

The standard deviation for the slope is Sb= 0.11

t_{H_0}= \frac{0.50-0}{0.11} = 4.545

And the p-value for the test is 0.0022

The p-value is less than the level of significance I choose, so the decision is to reject the null hypothesis. You can conclude that there is a linear regression between these two variables.

The correlation coefficient between the median income and the median age is r= 0.87 ⇒ This means you could expect a positive and strong linear correlation between the two variables.

d)

The slope represents how much the variable Y is modified whenever the variable X increases one unit.

In this example: Is the modification of the population mean of the median income, when the median age increases one year.

5 0
3 years ago
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