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aev [14]
3 years ago
13

Write the slope intercept form of the equation of the line through the given point with the given slope

Mathematics
1 answer:
aleksandrvk [35]3 years ago
5 0

Given that,

Point = (-5,3)

Slope, m = -3/5

To find,

The slope intercept form of the equation of the line.

Solution,

The general form of equation is :

y = mx +b

We have, x = -5, y = 3

So,

3=\dfrac{-3}{5}(-5)+b\\\\3=-3+b\\\\b = 6

The equation is :

y=\dfrac{-3}{5}x+6

Hence, the required equation is y=\dfrac{-3}{5}x+6.

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What could be the next statement that Ivan makes his proof?
natali 33 [55]

Answer: Choice A) Triangle ABC is similar to triangle ACD by AA

AA stands for Angle Angle. Specifically it means we need 2 pairs of congruent angles between the two triangles in order to prove the triangles similar. Your book might write "AA similarity" instead of simply "AA".

For triangles ABC and ACD, we have the first pair of angles being A = A (angle A shows up twice each in the first slot). The second pair of congruent angles would be the right angles for triangle ABC and ACD, which are angles C and D respectively.

We can't use AAS because we don't know any information about the sides of the triangle.

7 0
3 years ago
Solve for r 5(r-10)= -51
Sloan [31]

Answer:

r= -1/5

Step-by-step explanation:

Step 1: Remove the parentheses (5r-10= -51)

Step 2: Move the constant to the right-hand side and change the sign (5r= -51 + 50)

Step 3: Calculate the sum of -51 +50 (5r = -1)

Last Step: Divide both sides by the equation by 5 (r = -1/5)

4 0
3 years ago
What is 7/4 plus -1/2 plus 2/3? And what’s the answer
vichka [17]

Answer:

1.85

Step-by-step explanation:

1.75-0.5+0.6= 1.85 or 1 17/20

4 0
3 years ago
Water flows through a pipe at a rate of 710 pints per day. Express this rate of flow in cubic feet per month. Round your answer
Snowcat [4.5K]

Answer:

356 ft³ per month.

Step-by-step explanation:

From the question,

Water flows at a rate of 710 pints per day.

We shall convert 710 pints to cubic feet (ft³).

This can be obtained as follow:

1 pint = 0.0167 ft³

Therefore,

710 pints = 710 × 0.0167 = 11.857 ft³

From the calculations made above, 710 pints is equivalent to 11.857 ft³.

Thus, we can say that water flows at a rate of 11.857 ft³ per day.

Finally, we shall determine the rate of flow of water in cubic feet per month.

Note: there are 30 days in a month.

Water flow at a rate of 11.857 ft³ per day.

Therefore, the rate of flow of water in 30 days will be = 30 × 11.857 ft³ = 356 ft³

Thus, the flow rate of water is 356 ft³ per month.

3 0
3 years ago
State the domain & range!
Simora [160]

Answer:

Domain=x:x is a natural number less than 6: x≠4

Range= x:x is a natural number, 3>=x<=1

8 0
3 years ago
Read 2 more answers
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