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2 years ago

Describe the slope of the line. Then find the slope. What’s the slope?

Mathematics

1 answer:

guajiro [1.7K]2 years ago

4 0

Hello there!

We are given two points.

We use the following formula:

$\frac{y2-y1}{x2-x1}$

$\frac{4-7}{0-(-1)}$

$\frac{4-7}{0+1} \\\frac{-3}{1} \\-3$

So the slope is -3. Hope it helps!

~Just a cheerful teen

#CarryOnLearning

$SilentNature$

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Which of the following is the area of a quadrilateral with vertices at (-4,2),(1,2),(1,-3) and (-4,-3)

kow [346]

Answer:

The correct option is B.

Step-by-step explanation:

The given vertices are (-4,2),(1,2),(1,-3) and (-4,-3).

Plot these point on a coordinate plate. From the graph it is noticed that the given quadrilateral is a square.

Distance formula:

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Use distance formula to find the side length.

$AB=\sqrt{(1-(-4))^2+(2-2)^2}=\sqrt{5^2}=5$

$BC=\sqrt{(1-1)^2+(-3-2)^2}=\sqrt{(25}=5$

Since both consecutive sides are equal therefore it is a square.

Area of a square is

$A=a^2$

Where, a is side length.

The side length of the square is 5. So, area of ABCD is

$A=(5)^2$

$A=25$

Therefore the area of quadrilateral is 25 units square. Option B is correct.

3 0

2 years ago

Point K is on line segment \overline{JL} JL . Given JK=2x-2,JK=2x−2, KL=x-9,KL=x−9, and JL=2x+8,JL=2x+8, determine the numerical

Dafna11 [192]

Answer:

KL = 10

Step-by-step explanation:

Point K is on line segment \overline{JL} JL . Given

JK=2x−2

JL=2x+8

KL=x-9

JL = JK + KL

Hence:

2x + 8 = 2x - 2 + x - 9

2x + 8 = 2x + x - 2 -9

2x + 8 = 3x - 11

Collect like terms

3x - 2x = 8 + 11

x = 19

We are to find the numerical length of KL

KL = x - 9

KL = 19 - 9

KL = 10

3 0

2 years ago

Please help. Not sure how to do this one

Sladkaya [172]

The correct answer is: Option 3: $(hofog)(x)=\frac{x-14}{x+4}$

Step-by-step explanation:

Given

$f(x)=\frac{x-6}{x}\\g(x)=x+4\\h(x)=3x-2$

We have to find

$(hofog)(x)$

This will be equal to:

$h(f(g(x)))$

So we have to find the composition of (fog)(x) first

$(fog)(x) = f(g(x))\\=\frac{x+4-6}{x+4}\\=\frac{x-2}{x+4}$

Now,

$(hofog)(x)=h(f(g(x)))\\=3(\frac{x-2}{x+4})-2\\=\frac{3x-6}{x+4}-2\\=\frac{3x-6-2(x+4)}{x+4}\\=\frac{3x-6-2x-8}{x+4}\\=\frac{x-14}{x+4}$

The correct answer is: Option 3: $(hofog)(x)=\frac{x-14}{x+4}$

Keywords: Composition, Functions

Learn more about function composition at:

#LearnwithBrainly

8 0

3 years ago

What is 0.800 rounded to nearest tenth

arsen [322]

0.800 rounded to the nearest tenth is0.8

5 0

2 years ago

Please help, and please give me an explanation.

vichka [17]

I Believe that it is not the last 3 Answers.

7 0

3 years ago