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irinina [24]
3 years ago
11

Write an equation in slope-intercept form of the line through (1,3) and (-3,7)

Mathematics
2 answers:
kupik [55]3 years ago
8 0
Y=-X+4 finding the y intercept, b and slope, mx thus y=mx+b
Brums [2.3K]3 years ago
6 0
Find the slope, then use substitute the slope and one of the given points into slope-intercept form.

Slope is change in y over change in x. (7-3)/(-3-1)=-1

Slope-inttercept form is y = mx+b.
3 = -1(1)+b
b=4

y = -x + 4
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Find the value of the variable. If your answer is not an integer, leave it in simplest radical form.
tester [92]

So this is considered a "special triangle." The 30-60-90 triangle states that if the short leg is x, then the hypotenuse is 2x and the long leg is x√3.

Since we have the short leg, to find the hypotenuse, or y in this case, multiply the short leg by 2:

17 × 2 = 34

Next, to find the long leg, or x in this case, multiply the short leg by √3:

17 × √3 = 17√3

<u>In short, x = 17√3 and y = 34. The correct option is the last option.</u>

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3 years ago
William is packing his bags for his vacation. He has 8 unique books, but only 5 fit in his bag. How many different groups of 5 b
madam [21]
He can bring them all he just has to carry some..

7 0
3 years ago
Read 2 more answers
For the function f defined by f(x)=3x2−2x+5 find f(−x),−f(x) , and −f(−x).
Brums [2.3K]

Step-by-step explanation:

f(x)=3x^2-2x+5\\\\f(-x)=\text{substitute (-x) instead x in f(x)}\\\\f(-x)=3(-x)^2-2(-x)+5=3x^2+2x+5\\\\-f(x)=-(3x^2-2x+5)=-3x^2-(-2x)-5=-3x^2+2x-5\\\\-f(-x)=-(3x^2+2x+5)=-3x^2-2x-5

6 0
3 years ago
Can you help me please ​
stellarik [79]

Answer:

(x+2)(x+3)

Step-by-step explanation:

The middle number is 5 and the last number is 6.

Factoring means we want something like

(x+_)(x+_)

To fill in the blanks we need two numbers that...

  • Add together to get 5
  • Multiply together to get 6

our numbers are  2 and 3:

2+3 = 5

2*3 = 6

Fill in the blanks in

(x+_)(x+_)

with 2 and 3 to get...

(x+2)(x+3)

3 0
3 years ago
Anyone able to explain how to get the answer H
mars1129 [50]

Because the hole circle is 100 ,~, and the shaded area is 1/4 of the circle it’s 25,~,

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