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3 years ago

The points (−3, r) and (2, 1) lie on a line with slope −2 . Find the missing coordinate r .

1 answer:

6 0

We can use point slope form to solve for this.

y - 1 = -2(x - 2)
Simplify.
y - 1 = -2x + 4
Add 1 to both sides.
y = -2x + 5

Now, we can input -3 for x and solve for y, or r in this case.

y = -2(-3) + 5
y = 6 + 5
y = 11

r = 11

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Marta_Voda [28]

Step-by-step explanation:

A mixed number consists of an integer and a proper fraction:

$a\frac{b}{c}$

where the numerator is less than the denominator (b < c).

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You must use 2, 3, and 4 exactly once. Try different combinations and see which ones result in a terminating decimal, and which one results in a repeating decimal.

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3 years ago

What are the zeros of the quadratic function f(x)=8^2-16-15

Free_Kalibri [48]

Answer:

Step-by-step explanation:

f(x)= $8x^{2} -16x-15$
$8x^{2} -16x-15=0$
$x=\frac{-b+-\sqrt{b^{2}-4ac } }{2a}$ , a=8, b= - 16, c= - 15

$x=\frac{-(-16)+-\sqrt{(-16)^2-4*8*(-15)} }{2*8} = \frac{16+-\sqrt{736} }{16} =\frac{16+-4\sqrt{46} }{16} = 1 +- \frac{\sqrt{46} }{4} = 1+- \frac{\sqrt{23} \sqrt{2}}{2\sqrt{2} \sqrt{2} } =1+-\frac{\sqrt{23} }{2\sqrt{2} } = 1+-\frac{\sqrt{23} }{\sqrt{8} }$

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2 years ago

3x + 4y = 27 5x - 3y = 16

Arturiano [62]

Answer:

x = 5 , y = 3

Step-by-step explanation:

Solve the following system:

{3 x + 4 y = 27 | (equation 1)

5 x - 3 y = 16 | (equation 2)

Swap equation 1 with equation 2:

{5 x - 3 y = 16 | (equation 1)

3 x + 4 y = 27 | (equation 2)

Subtract 3/5 × (equation 1) from equation 2:

{5 x - 3 y = 16 | (equation 1)

0 x+(29 y)/5 = 87/5 | (equation 2)

Multiply equation 2 by 5/29:

{5 x - 3 y = 16 | (equation 1)

0 x+y = 3 | (equation 2)

Add 3 × (equation 2) to equation 1:

{5 x+0 y = 25 | (equation 1)

0 x+y = 3 | (equation 2)

Divide equation 1 by 5:

{x+0 y = 5 | (equation 1)

0 x+y = 3 | (equation 2)

Collect results:

Answer: {x = 5 , y = 3

4 0

3 years ago

6th grade math plz help me

vlabodo [156]

Answer:

The mode, which is 7, is not a typical distance for the data. The median, which is 3.5, is not a typical distance for the data. The mean, which is 4, is a typical distance for the data. So, Grace’s reasoning is not correct.

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3 years ago

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jok3333 [9.3K]

1. opposite sides are equivalent , opposite angles are equivalent
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3 years ago