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andreyandreev [35.5K]

3 years ago

13

What is the equation of the line that passes through the point (5,-2) and has a

2 answers:

Leya [2.2K]3 years ago

4 0

Given the point (5, -2), and slope = 6/5

Plug in the values into the slope-intercept formula:

y = mx + b
Where:
slope (m) = 6/5
b = y-intercept

We have to solve for the y-intercept. The y-intercept is the point on the graph where it crosses the y-axis. It is also the value of y when x = 0.

y = mx + b
-2 = 6/5(5) + b
-2 = 6 + b

Subtract 6 from both sides to solve for y-intercept, b:
-2 – 6 = b
-8 = b

Therefore, the equation of the line that passes through (5,-2) and has a slope of 6/5 is:
y = 6/5x - 8

Please mark my answers as the Brainliest if you find my explanations helpful :)

tresset_1 [31]3 years ago

3 0

Answer:

y = 6/5x - 2

Step-by-step explanation:

use y = mx+ c

m = slope

c = y intercept

y = 6/5x - 2

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The number of chairs on a ski lift is inversely proportional to the distance between them a lift has 70 chairs when there’s spac

zhannawk [14.2K]

Answer:

Space between 80 evenly spaced chairs = 21m

Step-by-step explanation:

So, according to the given statement, we have the following expression:

No. of chairs ∝ $\frac{1}{Distance.Between.chairs}$

70 chairs are 24m apart, so it can be written as:

70 ∝ $\frac{1}{24}$

For, 1 chair , we divide both sides by 70

$\frac{70}{70}$ ∝ $\frac{1}{24(70)}$

1 ∝ $\frac{1}{24 (70)}$ -----------------------(Equation 1)

<u>For 80 chairs:</u>

Multiply both sides of <em>Equation.1</em> by 80

80 ∝ $\frac{80}{24 (70)}$

80 ∝ $\frac{1}{21}$

So according to the above relation,

<em>80 evenly spaced chairs will have a space of </em><em>21 m</em><em> between them.</em>

7 0

3 years ago

What number is 9 more than 1/4 of itself?

earnstyle [38]

Answer:

letter c

Step-by-step explanation:

.............

8 0

2 years ago

Carla bought a crate of red and

steposvetlana [31]

Step-by-step explanation:

140/70=2 Therefore, 1 apple equals 2 percent

The remaining 30 percent times 2 equals 60

60 apples plus 140 apples equals 200 apples

Answer B

4 0

2 years ago

Read 2 more answers

Matthew purchased a desk that was on sale for 45% off the orginal price of $480.If the sales tax was 8% (of the sale price), how

Yanka [14]

Answer:

285.12

Step-by-step explanation:

discount amount = 45/100 x 480= 45x48/10

=216.0

price after discount= 480-216=264

sales tax= 8/100 x 264=21.12

total money spent = 264+21.12=285.12

3 0

2 years ago

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Sergey is solving 5x2 + 20% – 7 = 0. Which steps could he use to solve the quadratic equation by completing the

Mrac [35]

Answer:

$5(x^2+4x)=7$

$5(x^2+4x+4)=7+20$

$(x+2)=\pm\sqrt{\frac{27}{5}}$

Step-by-step explanation:

we have

$5x^2+20x-7=0$

step 1

Group terms that contain the same variable, and move the constant to the opposite side of the equation

$5x^2+20x=7$

step 2

Factor 5 left side

$5(x^2+4x)=7$

step 3

Complete the square

$5(x^2+4x+2^2)=7+2^2(5)$

$5(x^2+4x+4)=7+20$

$5(x^2+4x+4)=27$

step 4

Rewrite as perfect squares

$5(x+2)^2=27$

step 5

$(x+2)^2=\frac{27}{5}$

$(x+2)=\pm\sqrt{\frac{27}{5}}$

$(x+2)=\pm\frac{3\sqrt{15}}{5}$

step 6

$x=-2\pm\frac{3\sqrt{15}}{5}$

6 0

3 years ago

Read 2 more answers