1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Igoryamba
3 years ago
15

5. Which of the following linear functions has a graph which passes through points (−5,−2) and (−3,0)?

Mathematics
1 answer:
sergeinik [125]3 years ago
8 0

Answer:

f(x) = x + 3

Step-by-step explanation:

Given

Points (−5,−2) and (−3,0)

Required

Find a linear function that passes through the given points

The question implies that we solve for the equation for the line;

First, the slope of the line must be calculated;

This is calculated as thus:

m = \frac{y_2 - y_1}{x_2 - x_1}

Where (x_1,y_1) = (-5,-2)\ and\ (x_2,y_2) = (-3,0)

So, m = \frac{y_2 - y_1}{x_2 - x_1} becomes

m = \frac{0 - (-2)}{-3 - (-5)}

m = \frac{0 + 2}{-3 + 5}

m = \frac{2}{2}

m = 1

The equation of the line can then be calculated using any of the given points;

Using

m = \frac{y - y_1}{x - x_1}

Where\ (x_1,y_1) = (-5,-2)\ and\ m =1

We have

1 = \frac{y-(-2)}{x-(-5)}

1 = \frac{y+2}{x+5}

Multiply both sides by x + 5

(x+5)*1 = \frac{y+2}{x+5} * (x+5)

x + 5 = y + 2

Subtract 2 from both sides

x + 5 - 2 = y + 2 - 2

x + 3 = y

y = x + 3

Replace y with f(x)

f(x) = x + 3

Hence, from the list of given options; Option B is correct

You might be interested in
Here is a rectangle which has a width of x cm. x cm
miskamm [114]

Answer:

278.25 cm2

Step-by-step explanation:

If the width of the rectangle is x (cm), as the length is 8cm longer, so that the length of the rectangle is: x + 8 (cm).

In the attached image, we can see the length of each side. Total length of the sides are 90 cm.

=> (x + x + 8) + x + 8 + (x+8) + (x + x + 8) + x + 8 + (x +8) = 90

=> 8x + 48 = 90

=> 8x = 90 - 48 = 42

=> x =42/8 = 5.25 (cm)

=> The width of the rectangle is 5.25cm

=> The length of the rectangle is: 5.25 + 8 = 13.25 cm

=> The area of one rectangle is: Length x Width = 5.25 x 13.25 = 69.5625 cm2

As the 8-sided shape is made from 4 rectangles, so that:

Area of 8 sided shape = 4 x Area of the rectangle = 4 x 69.5625 = 278.25 cm2

6 0
3 years ago
Quadratics formula 4x^2+3x-1=0
VARVARA [1.3K]

Answer: X = 1/4 or X = -1

Step-by-step explanation:

4x2+3x−1=0

(4x−1)(x+1)=0

4x−1=0 or x+1=0

4x=1 or x=-1

Now divide 4 from both sides

like this 4x/4=1/4

now cancel out two 4's so the answer will be x=1/4

3 0
3 years ago
The vertex of this parabola is at (-3, 6). Which of the following could be its equation?
pishuonlain [190]
Since the vertex is at (-3, 6), the equation is given by
y = a(x + 3) + 6

Therefore, option A is the correct answer.
6 0
3 years ago
What is the mean and MAD of this data set?
just olya [345]
What data set???????
3 0
3 years ago
In a triangle ABC, measure of angle B is 90 degrees. AB is 3x-2 units and BC is x+3. If the area of the triangle is 17 sq cm, fo
Scorpion4ik [409]

Answer:

x=\frac{8}{3}\ cm

Step-by-step explanation:

we know that

The area of the right triangle ABC is equal to

A=\frac{1}{2}(AB)(BC)

we have

A=17\ cm^2

AB=(3x-2)\ cm

BC=(x+3)\ cm

substitute the values

17=\frac{1}{2}(3x-2)(x+3)

34=(3x-2)(x+3)

34=3x^2+9x-2x-6

3x^2+7x-6-34=0

3x^2+7x-40=0

The formula to solve a quadratic equation of the form

ax^{2} +bx+c=0

is equal to

x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}

in this problem we have

3x^2+7x-40=0

so

a=3\\b=7\\c=-40

substitute in the formula

x=\frac{-7(+/-)\sqrt{7^{2}-4(3)(-40)}} {2(3)}

x=\frac{-7(+/-)\sqrt{529}} {6}

x=\frac{-7(+/-)23} {6}

x=\frac{-7(+)23} {6}=\frac{16}{6}=\frac{8}{3}

x=\frac{-7(-)23} {6}=-5

therefore

The solution is

x=\frac{8}{3}\ cm

6 0
3 years ago
Other questions:
  • What is the value of x?<br><br> 5<br><br> 2.5<br><br> 7.5<br><br> 10
    6·2 answers
  • 3,478 divided by 9<br> 2,205 divided by 6<br> 6,033 divided by 5 <br> 926 divided by 4
    7·1 answer
  • 10 points.............
    5·2 answers
  • The line has a slope of -3 and passes through the point 1,4
    5·2 answers
  • Maths question on algebraic equations ​= due in 10 minutes
    11·1 answer
  • The population of California is about 39 million is this greater than or less then 107
    12·2 answers
  • A ball is thrown straight down from the top of a building at a velocity of 16 ft/s. The building is 480 feet tall, and the accel
    15·1 answer
  • 1. Find the measure of angle R.
    15·1 answer
  • You work as an assistant for a local musical theatre group, the Main Street Theatre Company. The company is putting on a product
    8·1 answer
  • I need answers for this problem
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!