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
m_a_m_a [10]
2 years ago
12

On a coordinate plane, a line goes through (0, negative 1) and (3, 1). a point is at (negative 3, 0). what is the equation of th

e line that is parallel to the given line and has an x-intercept of –3? y = two-thirdsx 3 y = two-thirdsx 2 y = negative three-halvesx 3 y = –three-halvesx 2
Mathematics
1 answer:
Vitek1552 [10]2 years ago
5 0

Required Equation is y = \frac{2x}{3}+2

Given: A line passing through ({x}_1,{y}_1) and ({x}_2,{y}_2)

Slope = \frac{(y_2 - y_1)}{(x_2 - x_1)} = \frac{( 1 - (-1))}{(3 - 0)}= \frac{2}{3}

Equation of line is:

Y_1(x) = \frac{2}{3}x + b

Where b is y intercept

for value of b

Y_1(0) = -1 = \frac{2}{3}*0 + b = b

⇒ b = -1

and Equation of line is:

Y_1(x) = \frac{2}{3}x + (-1)

For another parallel line that passes through the point (-3,0)

Y_2(x)= \frac{2}{3}x + c

Y_2(-3) = 0 = {2}{3}*-3 + c = -2 + c = 0

c = 2

then the equation is:

Y_2(x) = \frac{2}{3}x + 2

To learn more, visit:

brainly.com/question/14013431

#SPJ4

You might be interested in
Find the dimensions of the open rectangular box of maximum volume that can be made from a sheet of cardboard 21 in. by 12 in. by
a_sh-v [17]

Answer:

Dimension of the box is 16.1\times 7.1\times 2.45

The volume of the box is 280.05 in³.

Step-by-step explanation:          

Given : The open rectangular box of maximum volume that can be made from a sheet of cardboard 21 in. by 12 in. by cutting congruent squares from the corners and folding up the sides.

To find : The dimensions and the volume of the box?

Solution :

Let h be the height of the box which is the side length of a corner square.

According to question,

A sheet of cardboard 21 in. by 12 in. by cutting congruent squares from the corners and folding up the sides.

The length of the box is L=21-2h

The width of the box is W=12-2h

The volume of the box is V=L\times W\times H

V=(21-2h)\times (12-2h)\times h

V=(21-2h)\times (12h-2h^2)

V=252h-42h^2-24h^2+4h^3

V=4h^3-66h^2+252h

To maximize the volume we find derivative of volume and put it to zero.

V'=12h^2-132h+252

0=12h^2-132h+252

Solving by quadratic formula,

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

h=\frac{-(-132)\pm\sqrt{132^2-4(12)(252)}}{2(12)}

h=\frac{132\pm72.99}{24}

h=2.45,8.54

Now, substitute the value of h in the volume,

V=4h^3-66h^2+252h

When, h=2.45

V=4(2.45)^3-66(2.45)^2+252(2.45)

V\approx 280.05

When, h=8.54

V=4(8.54)^3-66(8.54)^2+252(8.54)

V\approx -170.06

Rejecting the negative volume as it is not possible.

Therefore, The volume of the box is 280.05 in³.

The dimension of the box is

The height of the box is h=2.45

The length of the box is L=21-2(2.45)=16.1

The width of the box is W=12-2(2.45)=7.1

So, Dimension of the box is 16.1\times 7.1\times 2.45

6 0
3 years ago
A 12 ft ladder is leaning against a wall with an angle of elevation of 31.2 degrees. How high up the wall will the ladder reach?
Tom [10]

Answer:

12/sin90'=b/sin67'

12sin67'=bsin90'

b=12sin67/sin90'

Step-by-step explanation:

sister ,we can use the law of sines. since we have the angle of elevation and assume the wall makes a right  angle with the ground, our angle opposite the ground is 180-[90+23=67

hope this is  helpful for you

8 0
2 years ago
What is the slope of line on the graph help pwease
Rus_ich [418]

Answer: is where that one dot is at home n the y-axis

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Help please!!! will make brainiest
dangina [55]

Answer:

32.4

Step-by-step explanation:

14 3/5 = 14.6

14.6*6=87.6

120-87.6=32.4

8 0
3 years ago
Find the percent decrease. Round to the nearest percent.<br><br><br> From 90°F to 70°F
Goryan [66]

Answer:

22

Step-by-step explanation:

90*x = 70

x = 7/9

x = 78%

100-78 = 22

3 0
2 years ago
Other questions:
  • A 4 year loan with 6% simple interest
    5·1 answer
  • The range of the function f(k) = k2 + 2k + 1 is {25, 64}. What is the function’s domain?
    15·2 answers
  • Tim plans to spend 40 hours on exercise training to earn a private trainer license. He has saved $2,000 for training. Tim would
    9·1 answer
  • Help please 20 points
    11·2 answers
  • There are 36 female teachers and 12 male teachers at Rachel's high school. What is the ratio of
    14·1 answer
  • I need help with #9. I am stuck on this problem.
    11·1 answer
  • Give only answer to gain Brainliest.
    11·2 answers
  • 40x + 44 = 38x + 44<br>​
    8·2 answers
  • Listed below are pulse rates​ (beats per​ minute) from samples of adult males and females. Find the mean and median for each of
    5·1 answer
  • Are all proportional relationships functions?
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!