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8_murik_8 [283]
3 years ago
9

Write an equation of a line perpendicular to the line y = -1/5x -3 and goes through the point (6,2), then use Point- Slope form

to write the equation of the line. Then convert into Slope-Intercept Form.
Mathematics
1 answer:
agasfer [191]3 years ago
7 0

Answer:

The equation of the line would be y = 5x - 28

Step-by-step explanation:

First, we need to know that perpendicular lines have opposite and reciprocal slopes. Give that information, we know that the new line will be the reciprocal and opposite of -1/5. This would be 5. Now that we have that information, we can use it along with a point to fill in the point-slope form of the equation.

y - y1 = m(x - x1)

y - 2 = 5(x - 6)

Then we must solve for y.

y - 2 = 5(x - 6)

y - 2 = 5x - 30

y = 5x - 28

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In the diagram below of triangle EFG, H is a midpoint of EF and J is a midpoint
Korolek [52]

Answer:

14

Step-by-step explanation:  2(4x+6)=

\,\,34-3x

34−3x

Since HJ is a midsegment, twice HJ is equal to EG.

8x+12=

8x+12=

\,\,34-3x

34−3x

Distribute.

8x+12=

8x+12=

\,\,-3x+34

−3x+34

Communicative property to change the order

\color{red}{+3x}\phantom{+12}\phantom{=}

+3x+12=

\,\,\color{red}{+3x}\phantom{+34}

+3x+34

+3x to both sides.

11x+12=

11x+12=

\,\,34

34

\phantom{11x}\color{red}{-12}\phantom{=}

11x−12=

\,\,\color{red}{-12}

−12

-12 to both sides.

11x=

11x=

\,\,22

22

\frac{11x}{11}=

11

11x

​  

=

\,\,\frac{22}{11}

11

22

​  

 

Divide both sides by 11

x=

x=

\,\,2

2

Value of x

HJ=

HJ=

\,\,4x+6

4x+6

Value of HJ

HJ=

HJ=

\,\,4(2)+6

4(2)+6

Plug in x.

HJ=

HJ=

\,\,8+6

8+6

Multiply.

HJ=

HJ=

\,\,14

14

8 0
3 years ago
In 2010, there were 2,468,435 total deaths in the total US population, with 308,745,538 persons at mid year (July 1). ;Of these
xenn [34]

Answer:

193.586 deaths per 100,000

Step-by-step explanation:

The cause-specific mortality rate for a disease in a per 100,000 basis is determined as the total number of deaths due to the disease multiplied by 100,000 and divided by the average (mid-year) total population.

There were 597,689 deaths due to diseases of the heart in a population of 308,745,538 people. The cause-specific mortality rate for diseases of the heart per 100,000 in this population is:

M=\frac{597,689}{308,745,538}*100,000\\ M=193.586\ deaths/100,000

The mortality rate is 193.586 deaths per 100,000.

7 0
3 years ago
Allison has five times as many baseball cards as football cards and all she has 120 cards how many baseball cards does Allison h
BlackZzzverrR [31]
600 because you do five times twelve which is 60 then u add the zero
6 0
3 years ago
Read 2 more answers
Please help ASAP! Show work please! I will give brainliest!
kirill [66]

-4x/7 > 10

Multiply both sides by 7:

-4x > 70

Divide both sides by -4"

x > 70 / -4

Simplify the fraction:

70/-4 = 35 / -2


Because the fraction is negative you need to reverse the inequality sign:

x < -35/2


The answer is the first one: {x|x < -35/2}

4 0
3 years ago
X + 67 = 70 <br><br> what does "x" equal?<br><br> Please explain your answer, thanks!
8_murik_8 [283]
Hey there!

3 + 67 = 70,

so your answer will be:
x = 3

Hope this helps!
Have a great day (:
5 0
3 years ago
Read 2 more answers
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