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enot [183]
3 years ago
14

What is the slope of the line that runs through the points (8,-4) and (10,-9)?

Mathematics
1 answer:
Julli [10]3 years ago
5 0
The slope of the line is -2.5, or -5/2. You find the slope by dividing the difference in y coordinates by the difference in x coordinate.
You might be interested in
Find the perimeter of the polygon. Assume that lines which appear to be tangent are tangent. Round to the nearest tenth if neces
kherson [118]

Answer:

P=53.6\ units

Step-by-step explanation:

we know that

The <u><em>Two-Tangent Theore</em></u>m states that if two tangent segments are drawn to one circle from the same external point, then they are congruent

so

Applying the Two-Tangent Theorem at each vertex of the triangle

The perimeter of the triangle is equal to

P=2(7.8)+2(8)+2(11)=53.6\ units

6 0
2 years ago
The Rogers Park cafeteria sells veggie pizza and cheese pizza. Today they sold 25 pizzas at lunch. They sold seven more cheese p
MA_775_DIABLO [31]
Let the number sold of veggie pizza be a
The number sold of cheese pizza be b
a+b=25…1
A+7=b…2

Sub 2 into 1
a + a+7 = 25
2a+7=25
2a=18
a=9

Sub a=9 into 2
9+7=b
b=16

They sold 9 veggie pizza and 16 cheese pizza
8 0
3 years ago
Eighty members of a bike club were asked whether they like touring bikes and whether they like mountain bikes. A total of 70 lik
OLga [1]

Answer:


Step-by-step explanation:

a = 42, b = 5, c = 28, d = 33, e = 10


6 0
2 years ago
Read 2 more answers
Complete the steps to solve the polynomial equation x3 – 21x = –20. According to the rational root theorem, which number is a po
jeka94

Answer:

Zeroes : 1, 4 and -5.

Potential roots: \pm 1, \pm 2, \pm 4, \pm 5, \pm 10, \pm 20.

Step-by-step explanation:

The given equation is

x^3-21x=-20

It can be written as

x^3+0x^2-21x+20=0

Splitting the middle terms, we get

x^3-x^2+x^2-x-20x+20=0

x^2(x-1)+x(x-1)-20(x-1)=0

(x-1)(x^2+x-20)=0

Splitting the middle terms, we get

(x-1)(x^2+5x-4x-20)=0

(x-1)(x(x+5)-4(x+5))=0

(x-1)(x+5)(x-4)=0

Using zero product property, we get

x-1=0\Rightarrow x=1

x-4=0\Rightarrow x=4

x+5=0\Rightarrow x=-5

Therefore, the zeroes of the equation are 1, 4 and -5.

According to rational root theorem, the potential root of the polynomial are

x=\dfrac{\text{Factor of constant}}{\text{Factor of leading coefficient}}

Constant = 20

Factors of constant ±1, ±2, ±4, ±5, ±10, ±20.

Leading coefficient= 1

Factors of leading coefficient ±1.

Therefore, the potential root of the polynomial are \pm 1, \pm 2, \pm 4, \pm 5, \pm 10, \pm 20.

3 0
3 years ago
Please help DUE today 30 points + brainlist ONLY 2, 4, 20, and 18. Show work for 18, and 20 please
kkurt [141]
For 2 maybe, MAYBE, x=3
6 0
3 years ago
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