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2 years ago

Find the slope of the line that goes through the given points (-1, 4), (5, 4)

Mathematics

2 answers:

Alexeev081 [22]2 years ago

6 0

Your line is horizontal (same y values) in horizontal lines, the slope is always 0, so, your slope is 0

Temka [501]2 years ago

4 0

The formula would be y₂-y₁ ÷ x₂-x₁
-1 :x₁
4 : y₁
4-4/5-(-1) = 0 
5 : x₂
4 : y₂

0 is the slope

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Which graph represents the function of f(x) 9x^2 + 9x - 18 / 3x + 6

Irina-Kira [14]

Answer:

The graph in the attached figure

Step-by-step explanation:

we have

$f(x)=\frac{9x^{2}+9x-18}{3x+6}$

Remember that in a quotient, the denominator cannot be equal to zero

The value of x cannot be equal to x=-2

Simplify the expression

Using a graphing tool

The roots of the quadratic equation in the numerator are

x=-2 and x=1

$9x^{2}+9x-18=9(x+2)(x-1)$

Simplify the denominator

$3x+6=3(x+2)$

substitute in the original expression

$f(x)=\frac{9(x+2)(x-1)}{3(x+2)}$

Simplify

$f(x)=3(x-1)$

$f(x)=3x-3$

Is the equation of a line

The y-intercept is the point (0,-3) (value of the function when x is equal to zero)

The x-intercept is the point (1,0) (value of x when the value of the function is equal to zero)

Graph the line, but remember that the value of x cannot be equal to -2

The graph in the attached figure

7 0

3 years ago

Write (8a-^3) -2/3 in simplest form

Anna71 [15]

$(8a^{-3})^{\frac{-2}{3}} = \frac{a^2}{4}$

Solution:

Given that,

$(8a^{-3})^{\frac{-2}{3}$

We have to write in simplest form

Use the following law of exponent

$(a^m)^n = a^{mn}$

Using this, simplify the given expression

$(8a^{-3})^{\frac{-2}{3}} = 8^{\frac{-2}{3}} \times a^{ -3 \times \frac{-2}{3}}\\\\Simplifying\ we\ get\\\\(8a^{-3})^{\frac{-2}{3}} = 8^{\frac{-2}{3}} \times a^2\\\\We\ know\ that\ 8 = 2^3\\\\Therefore\\\\(8a^{-3})^{\frac{-2}{3}} =2^3^{\frac{-2}{3}} \times a^2\\\\(8a^{-3})^{\frac{-2}{3}} =2^{-2} \times a^2\\\\(8a^{-3})^{\frac{-2}{3}} = \frac{a^2}{4}$

Thus the given expression is simplified

8 0

3 years ago

The height of the triangle is 3 meters longer than twice its base. Find the base and height if the area is 8 square meters. Roun

polet [3.4K]

9514 1404 393

Answer:

base: 2.18 m
height: 7.35 m

Step-by-step explanation:

Let b represent the base of the triangle in meters. Then the height is ...

h = 3 +2b

and the area is ...

A = 1/2bh

8 = 1/2(b)(3 +2b)

16 = 3b +2b^2 . . . . . . . multiply by 2 and eliminate parentheses

2(b^2 +3/2b + (9/16)) = 16 + 9/8 . . . . . . complete the square

2(b +3/4)^2 = 17.125

(b +3/4)^2 = 8.5625 . . . . . divide by 2

b + 0.75 = √8.5625 ≈ 2.9262

b = -0.75 +2.9262 = 2.1762

h = 3 +2b = 7.3523

The base is about 2.18 meters and the height is about 7.35 meters.

3 0

2 years ago

HELP ME ASAP PLEASE IM REALLY STRESSED :c

sveta [45]

Answer:

0.3 miles.

Step-by-step explanation:

If it takes all 3 of them to get there in a mile then it will equal to 3 miles.

5 0

2 years ago

Read 2 more answers

let m angle A = 40 degrees. If angle B is a complement of angle A and angle C is a supplement of angle B, find these measures

FinnZ [79.3K]

A= 40 B=50 C=130
.............

7 0

2 years ago

Read 2 more answers