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3 years ago

Someone solve this for me please: Find a vector v such that || v || = 10 and v is in same direction as 2i + 3j

Mathematics

1 answer:

drek231 [11]3 years ago

8 0

Answer:

Step-by-step explanation:

$\overrightarrow{a}=2*\overrightarrow{i}+3*\overrightarrow{j}\\\\||\overrightarrow{a}||=\sqrt{2^2+3^2} =\sqrt{13} \\\\\boxed{\overrightarrow{v}=\dfrac{20}{\sqrt{13}}*\overrightarrow{i}+\dfrac{30}{\sqrt{13}}*\overrightarrow{j}} \\\\\\||\overrightarrow{a}||=\sqrt{(\dfrac{20}{\sqrt{13}})^2+(\dfrac{30}{\sqrt{13}})^2} =\sqrt{\dfrac{400+900}{13} }==\sqrt{\dfrac{1300}{13} }=\sqrt{100}=10 \\$

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Dahasolnce [82]

Answer:

Option A is correct.

Step-by-step explanation:

Given

The point (4, -8)

Slope m = 1/4

To determine

What is the equation in the standard form of the line that passes through the point (4, −8) and has a slope of 1/4.

Using the point-slope form of the line equation

$y-y_1=m\left(x-x_1\right)$

where

m is the slope of the line

(x₁, y₁) is the point

substituting the values m = 1/4 and the point (4, -8)

$y-y_1=m\left(x-x_1\right)$

$y-\left(-8\right)=\frac{1}{4}\left(x-4\right)$

$y+8=\frac{1}{4}\left(x-4\right)$

Subtract 8 from both sides

$y+8-8=\frac{1}{4}\left(x-4\right)-8$

$y=\frac{1}{4}x-1-8$

$y=\frac{1}{4}x-9$

Writing the equation in the standard form

As we know that the equation in the standard form is

Ax+By=C

where x and y are variables and A, B and C are constants

$y=\frac{1}{4}x-9$

$x=4y+36$

$x - 4y = 36$

Therefore, the equation in the standard form of the line that passes through the point (4, −8) and has a slope of 1/4 will be:

$x - 4y = 36$

Hence, option A is correct.

3 0

3 years ago

"solve the quadratic equation"

11111nata11111 [884]

Answer:

huh

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

Solve the equation below for y in terms of x.

zmey [24]

y=3/2x + 7/2
OR
y=3/2x + 3.5

first, write the equation: 2y-3x=7
When solving for y, you want to get the y by itself on one side of the equation. Start by adding 3x to both sides. it should look like:
2y = 3x + 7
Next, divide both sides by 2 to get the y by itself. now you have:
y= 3/2x + 7/2
there you have it!! however, if you want the y intercept (7/2) in decimal form, then it’s:
y=3/2x + 3.5
hope this helped!

4 0

3 years ago

1.2 ÷ 4 = 12 tenths ÷ 4

Harlamova29_29 [7]

Answer:

Yes you're right, it does

3 0

3 years ago

A biologist is studying a new hybrid tomato. It is known that the seeds of this hybrid tomato have probability 0.70 of germinati

Yuliya22 [10]

Answer:

(A) 0.800

(B) 1.000

Step-by-step explanation:

Probability is given by number of possible outcomes ÷ number of total outcomes

(A) Number of possible outcomes = 8, number of total outcomes = 10

Probability (exactly 8 seeds will germinate) = 8/10 = 0.800

(B) Probability (at least 8 seeds will germinate) means either 8 seeds will germinate or more than 8 seeds will germinate

Probability (more than 8 seeds will germinate) = 1 - 0.800 = 0.200

Probability (at least 8 seeds will germinate) = 0.800 + 0.200 = 1.000

6 0

3 years ago