Please give me answer ASAP

Find the slope and the equation for the line passing through the points: (-3,0) and (-1,2)

dusya [7]

Answer:

slope: 1
equation: y = x +3

Step-by-step explanation:

The slope of the line between two points can be found using the slope formula:

m = (y2 -y1)/(x2 -x1)

m = (2 -0)/(-1 -(-3)) = 2/2

m = 1 . . . . . the slope of the line is 1

__

The value of the y-intercept can be found by solving the slope-intercept equation for b.

y = mx +b

b = y -mx

b = (0) -(1)(-3) = 3 . . . . . using point (x, y) = (-3, 0)

The equation of the line with slope 1 and y-intercept 3 can be written as ...

y = x +3

4 0

1 year ago

If SV⊥RT, m∠RSU = (17x – 3)°, and m∠UST = (6x – 1)°, find TSV

goblinko [34]

Applying the linear pair theorem, the measure of angle TSV in the image given is: 86°.

<h3>How to Apply the Linear Pair Theorem?</h3>

Given the following angles in the image above:

Measure angle RSU = (17x - 3)°,

Measure angle UST = (6x – 1)°

To find the measure of angle TSV, we need to find the value of x in the given expressions as shown below:

m∠RSU + m∠UST = 180 degrees (linear pair]

Substitute the values

17x - 3 + 6x - 1 = 180

Solve for x

23x - 4 = 180

23x = 180 + 4

23x = 184

x = 8

m∠TSV = 180 - 2(m∠UST) [Linear Pair Theorem]

m∠TSV = 180 - 2(6x - 1)

Plug in the value of x

m∠TSV = 180 - 2(6(8) - 1)

m∠TSV = 86°

Therefore, applying the linear pair theorem, the measure of angle TSV in the image given is: 86°.

Learn more about the linear pair theorem on:

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6 0

9 months ago

Pls solve this qn..............ASAP<br> PLS DON'T SPAMMMMM!!

Anni [7]

Probability ( a flowering plant or fruit plant) is $\frac{13}{30}$ and Probability (neem plant or peepal plant) is $\frac{29}{60}$ .

Step-by-step explanation:

Given,

Number of neem plant = 125

Number of peepal plant = 165

Number of creppers plant = 50

Number of fruit plant = 150

Number of flowering plant = 110

To find the probability ( a flowering plant or fruit plant)

and probability ( neem or peepal)

Formula

P( A or B) = P(A) + P(B)

Probability ( a flowering plant or fruit plant) = $\frac{110}{600} + \frac{150}{600}$

= $\frac{260}{600}$ = $\frac{13}{30}$

And,

Probability (neem plant or peepal plant) = $\frac{125}{600} +\frac{165}{600}$

= $\frac{290}{600}$ = $\frac{29}{60}$

4 0

2 years ago

A truck can be rented from Company A for $90 a day plus a $0.20 per mile .Company B charges $20 a day plus $0.70 per mile to ren

Alex787 [66]

The number of miles in a day at which the rental costs for Company A and Company B are the same is 140 miles

<h3>Rental cost</h3>

Let

Number of miles = x

Company A:

90 + 0.20x

Company B:

20 + 0.70x

Equate both rental cost

90 + 0.20x = 20 + 0.70x

90 - 20 = 0.70x - 0.20x

70 = 0.50x

Divide both sides by 0.50

x = 70/0.50

x = 140 miles

Therefore, the number of miles in a day at which the rental costs for Company A and Company B are the same is 140 miles

Learn more about rental cost:

brainly.com/question/11959610

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8 0

1 year ago

What is the area of the polygon? Show your work.

koban [17]

Answer:

33 square units

Step-by-step explanation:

Assuming that each line on this grid increases by a value of one, the area of the polygon can be determined by breaking it down into a large rectangle and two smaller triangles.

<h3>Area of the rectangle</h3>

The area of a rectangle is simply $A = bh$ , where b represents the base and h represents the height.

Counting the size of each side, we can determine that they are 6 units for the base and 4 units for the height.

Substituting in the values, we get:

$A = (6)(4)\\A = 24$

The area of the rectangle is 24 square units

<h3>Area of the triangles</h3>

The area of a triangle is simply $A = \frac{1}{2} bh$ .

The base of each triangle is 3, and the height of each triangle is also 3.

Substituting in the values, we get:

$A = \frac{1}{2} (3)(3)\\A = \frac{1}{2} (9)\\A = 9 / 2\\A = 4.5$

The area of each triangle is 4.5 square units

<h3>Area of the polygon</h3>

To get the area of the polygon, we simply add up the area of the rectangle and both triangles

$A = 24 + 4.5 + 4.5\\A = 24 + 9\\A = 33$

The total area of the polygon is 33 square units.

3 0

2 years ago