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cestrela7 [59]
3 years ago
13

Write the point-slope form of the equation of the line that passes through the points (-3, 5) and (-1, 4). Please answer quickly

I need it in five minutes!
Mathematics
1 answer:
Oksanka [162]3 years ago
4 0
The point-slope form of the equation of a line is

y - y_1 = m(x - x_1)

where

(x_1, y_1)

is a point on the line, and

m

is the slope of the line.

We can use either one of the two given points as the point on the line.
We also need to find the slope. We can use the coordinates of the two given points to find the slope of the line.

The slope of the line that passes through points

(x_1, y_1) and (x_2, y_2)

is

m = \dfrac{y_2 - y_1}{x_2 - x_1}

Let's find the slope using (-3, 5) as point 1 and (-1, 4) as point 2.

m = \dfrac{4 - 5}{-1 - (-3)} = \dfrac{-1}{-1 + 3} = \dfrac{-1}{2} = -\dfrac{1}{2}

Now we use the point-slope formula with point 1 and the slope we found just above.

y - y_1 = m(x - x_1)

y - 5 = -\dfrac{1}{2}(x - (-3))
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a cylinder has a base diameter of 16 inches and a height of 7 inches. What is its volume in cubic inches
lilavasa [31]

Answer:

224

Step-by-step explanation:

i think you would do 16 X 2 and then times that by 7 which would give the answer as 224

6 0
2 years ago
Convert the function into intercept form. Show your work. y=-x^2+5x+36
UkoKoshka [18]
Y = -x2 + 5x + 36 <span>→ y = -(x2 -5x -36)


</span><span>→ y =  -(x2 - 9x +4x - 36)


</span><span>→ y = -[x(x-9) + 4(x - 9)]


</span><span>→ y = -(x - 9)(x + 4)

Your answer would be </span>y=-(x-9)(x+4).
7 0
3 years ago
Find the face value of the 20-year zero-coupon bond at 4.4%, compounded semiannually, with a price of $8,375.
umka21 [38]

<u>Given</u>:

Time,

t = 20 years

Rate,

r = 4.4%

Price

= $8,375

Now,

The yield will be:

= \frac{4.4}{2}

= 1.1 (%)

Time will be:

= 20\times 2

= 40 \ periods

As we know the formula,

⇒ Price \ of \ bond = \frac{Face \ value}{(1+\frac{r}{2} )^{n\times 2}}

By substituting the values, we get

                   8375=\frac{Face \ value}{(1+\frac{0.044}{2} )^{20\times 2}}

                   8375=\frac{Face \ value}{(1.022)^{40}}

                   8375=\frac{Face \ value}{2.3880083}

The face value will be:

        Face \ value = 2.3880083\times 8375

                           =20,000 ($)

Learn more about face value here:

brainly.com/question/14862802

5 0
3 years ago
Help 10 POINTS MATH IS NOT MY STRONG SUIT
Masja [62]

Answer:

infinite number of solutions

Step-by-step explanation:

Work with the second equation.  Subtract 8x from both sides.

- 4y + 8x - 8x = -8x - 12                   Collect like terms.

-4y = - 8x - 12                                   Divide by - 4

-4y/-4 = - 8x/-4 - 12/-4

y = 2x + 3

That is exactly the same line as the first given.  There is an infinite number of solutions.

6 0
2 years ago
I need help please
Wittaler [7]

Answer:

-1

Step-by-step explanation:

rise over run

4 0
3 years ago
Read 2 more answers
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