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2 years ago

Find the equation of the line passing through the points (2, 1) and (5, 10). y = [? ]x + [ ]

Mathematics

1 answer:

sladkih [1.3K]2 years ago

8 0

Answer:

$y=3x-5$

Step-by-step explanation:

$m=10-1/5-2$

$m=9/3$

$m=3$

$y=3x+b$

$x=2, y=1$

$1=3(2)+b$

$1=6+b$

$-5=b$

$y=3x-5$

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(Brainliest for fastest right answer!!) Which is correct?

Arisa [49]

Answer:

(n - 5)(n + 5)

Step-by-step explanation:

a² - b² = (a - b)(a + b)

n² - 25 = n² - 5² = (n - 5)(n + 5)

7 0

2 years ago

Scott wants to cover his patio with concrete pavers. If the patio is shaped like a trapezoid whose bases are 11 feet and 13 feet

GenaCL600 [577]

Answer:

Scott will need 168 ft² of pavers to cover his patio

Explanation:

Scott wants to cover a trapezoid-shaped patio

This means that:

To get the number of square feet of pavers he'll need, we need to get the area of his patio

Area of trapezium id calculated as follows:

$Area = \frac{base_{1}+base_{2}}{2} * height$

We are given that:

base₁ = 11 ft

base₂ = 13 ft

height = 14 ft

We now substitute with the givens to get the area as follows:

$Area = \frac{11+13}{2} * 14 = 168ft^2$

This means that:

Scott will need 168 ft² of pavers to cover his patio

Hope this helps :)

5 0

2 years ago

Write the equation of the line in fully simplified slope-intercept form.

Lina20 [59]

Answer:

$y=-6x+2$

Step-by-step explanation:

Hi there!

Slope-intercept form: $y=mx+b$ where m is the slope and b is the y-intercept (the value of y when x=0)

1) Determine the slope (m)

$m=\displaystyle \frac{y_2-y_1}{x_2-x_1}$ where two points that fall on the line are $(x_1,y_1)$ and $(x_2,y_2)$

Given the graph, we determine which points we could use. For example, we could use the two points $(0,2)$ and $(1,-4)$ :

$m=\displaystyle \frac{-4-2}{1-0}\\\\m=\displaystyle \frac{-6}{1}\\\\m=-6$

Therefore, the slope of the line is -6. Plug this into $y=mx+b$ :

$y=-6x+b$

2) Determine the y-intercept (b)

Recall that the y-intercept occurs when x=0. Given the point (0,2), we know that the y-intercept is 2. Plug this into $y=-6x+b$ :

$y=-6x+2$

I hope this helps!

5 0

2 years ago

Pick the correct description of the line 2x -4y=6

DENIUS [597]

Answer:

y=6-2x/-4

Step-by-step explanation:

y= 1/2x-3/2

3 0

2 years ago

Not including tax, 14 pieces of clothing cost $107. Pants cost $12.50 and shirts cost $4.00. No other types of clothes were purc

galben [10]

I would say that could one equation 12.5p+4s=107

4 0

2 years ago

Read 2 more answers