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Alla [95]
3 years ago
13

Complete the equation of the line through (3,−1) (4,7)

Mathematics
1 answer:
user100 [1]3 years ago
6 0

Answer:

Step-by-step explanation:

(3,−1) (4,7)

Slope = y₂-y₁/x₂-x₁

= 7- [-1]/4-3

=7+1/1 = 8/1

= 8

m = 8 ; (4,7)

y-y₁= m(x-x₁)

y - 7 = 8 * (x - 4)

y -7 = 8x - 32

y = 8x - 32 + 7

y = 8x - 25

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Simplify x^2+ 5x + 4 over <br> x+4
harkovskaia [24]

Answer:

x+1

Step-by-step explanation:

6 0
3 years ago
What are the coordinates of the x-intercepts of the parabola y = x² - 8x + 15?
tamaranim1 [39]

Answer:

(3, 0) and (5, 0)

Step-by-step explanation:

we have

y=x^{2}-8x+15

we know that

The x-intercepts are the values of x when the value of y is equal to zero

so

For y=0

x^{2}-8x+15=0

The formula to solve a quadratic equation of the form

ax^{2} +bx+c=0

is equal to

x=\frac{-b\pm\sqrt{b^{2}-4ac}} {2a}

in this problem we have

x^{2}-8x+15=0  

so

a=1\\b=-8\\c=15

substitute in the formula

x=\frac{-(-8)\pm\sqrt{-8^{2}-4(1)(15)}} {2(1)}

x=\frac{8\pm\sqrt{4}} {2}

x=\frac{8\pm2} {2}

x=\frac{8+2} {2}=5

x=\frac{8-2} {2}=3

so

x=3, x=5

therefore

The x-intercepts are (3,0) and (5,0)

4 0
3 years ago
If 141 people attend a concert and tickets for adults cost $3.5 while tickets for children cost $2.5 and total receipts for the
Arturiano [62]

Answer: There are 69 adults and 72 children went to the concert.

Step-by-step explanation:

Let x be the number of adults, and y be the number of children.

x + y = 141

3.5x + 2.5y = 421.5

x + y =141

x = 141 - y

3.5(141 - y) + 2.5y = 421.5

493.5 - 3.5y + 2.5y = 421.5

493.5 - y = 421.5

-y = -72

y = 72

x + y = 141

x + 72 = 141

x = 69

6 0
3 years ago
If you do these ill give brainliest!! someone smart please help. im struggling
IRISSAK [1]
ANSWER:
15
32
31
10
23
6.5
35
4.8
63
66
200
72
Solution:
Say you have a triangle that is 2.5 by 1
The Number that comes first is the base and there’s only one bass and there’s two sides in those size are 1 so 1×2 is 2+2.5=4.5 so all you’re doing is adding up all the sides together on any shape
4 0
3 years ago
A cube has a volume of greater than 125 centimeters cubed. what are the possible lengths of the side of that cube?
ioda
The length is 5 because 5 cubed equals 125.
6 0
3 years ago
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