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2 years ago

Determine the equation of the line that is parallel to the given

Mathematics

2 answers:

jekas [21]2 years ago

4 0

Answer:

y=3x-9

Step-by-step explanation:

Since it's parallel the slope has to be the same. The intercept is found by inserting the x and y into the new equation:

-3=3(2)+b

-3=6+b

Subtract 6 from both sides.

-9=b

This gives all parts to the answer,

y=3x-9

You could also check your work by graphing the point and using the slope of 3x until you get to the y-intercept.

vovangra [49]2 years ago

3 0

Answer:

y = 3x - 3

Given:

y = 3x - 4

through (2, 3)

To Find:

equation of the line parallel to y = 3x - 4 through the given point (2, -3)

Step-by-step explanation:

y = mx + b

The line is parallel, so the slope is the same

y = 3x + b

Plug in the x and y values of your point

-3 = 3(2) + b

Solve for 'b'

-3 = 6 + b

0 = b + 3

b = -3

Your final equation is,

y = 3x - 3

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Joshua is 1.45 meters tall. At 2 p.m., he measures the length of a tree's shadow to be 31.65 meters. He stands 26.2 meters away

Lena [83]

Answer:

The height of the tree=8.42 m

Step-by-step explanation:

We are given that

Height of Joshua, h=1.45 m

Length of tree's shadow, L=31.65 m

Distance between tree and Joshua=26.2 m

We have to find the height of the tree.

BC=26.2 m

BD=31.65m

CD=BD-BC

CD=31.65-26.2=5.45 m

EC=1.45 m

All right triangles are similar .When two triangles are similar then the ratio of their corresponding sides are equal.

$\triangle ABD\sim \triangle ECD$

$\frac{AB}{EC}=\frac{BD}{CD}$

Substitute the values

$\frac{AB}{1.45}=\frac{31.65}{5.45}$

$AB=\frac{31.65\times 1.45}{5.45}$

$AB=8.42m$

Hence, the height of the tree=8.42 m

6 0

3 years ago

Shelly and Terrence earned points in a game by completing various tasks. Shelly completed x tasks and scored 90 points on each o

jeyben [28]

B the number of tasks Terrence completed

7 0

3 years ago

(4p + 5)(p + 1) = 0

ale4655 [162]

Answer:

$4p {}^{2} + 4p \: + 5p + 5$

$= )4p {}^{2} + 9p + 5$

$= )4p {}^{2} + (5 + 4)p \: + 5$

$= )4p {}^{2} + 4p \: + 5p \: + 5$

$= )4p(p \: + 1) + 5(p \: + 1)$

p = - 1 , -5/4

Mark as brainliest.

8 0

3 years ago

Read 2 more answers

X – 81 = 1 X = ? Pleaseee help me I’m strugglinggg

Firdavs [7]

Answer:

$\huge{ \fbox{ \sf{82}}}$

Step-by-step explanation:

$\star{ \text{ \: x - 81 = 1}}$

$\text{Step \: 1 \: : Move \: 81 \: to \: right \: hand \: side \: and \: change \: it's \: sign}$

$\hookrightarrow{ \sf{x = 1 + 81}}$

$\text{Step \: 2 \: : Add \: the \: numbers : 1 \: and \: 81}$

$\hookrightarrow{ \sf{x = 82}}$

The value of x is 82

Hope I helped!

Best regards! :D

~ $\sf{TheAnimeGirl}$

6 0

3 years ago

Read 2 more answers

Bryan created the model to solve 1/2 ÷ 1/8. Do you agree or disagree with his work? If Bryan made a mistake, explain how to solv

Anuta_ua [19.1K]

Bryan should have split the $\frac{1}{2}$ into four equal parts (not 8). Each smaller part is $\frac{1}{8}$

Note how $\frac{4}{8}$ reduces to $\frac{1}{2}$

Since there are 4 smaller parts or groups, this means

$\frac{1}{2} \div \frac{1}{8} = 4$

Refer to the diagram below.

6 0

3 years ago