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1 year ago

Help I need this answer quickly

Mathematics

1 answer:

Illusion [34]1 year ago

4 0

The unit vector that is in the same direction as v is given by:

$u = \left$

<h3>How to find a vector given two points?</h3>

The vector is given by the <u>terminal point subtracted by the initial point,</u> hence:

v = (-17, 4) - (7, -9) = <-24, 13>

<h3>How to find the unit version of a vector?</h3>

Each coordinate of the vector is <u>divided by it's norm</u>.

For this vector, the norm is given by:

$|v| = \sqrt{(-24)^2 + (13)^2} = \sqrt{745}$

Hence the unit vector is:

$u = \left$

More can be learned about vectors at brainly.com/question/24606590

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Simplify <br> (^3)x4<br> Easy 30 points

aleksklad [387]

Answer:

$=81$

Step-by-step explanation:

$\left(-3\right)^4$

Use exponent rule $\left(-a\right)^n=a^n$ :

$=3^4$

$=81$

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3 years ago

Read 2 more answers

Find the area of triangle ABC with vertices A(2,1), B (12,2), C (12,8). Hence, or otherwise find the perpendicular distance from

Lapatulllka [165]

<h2>The area of a triangle is =54 square units</h2><h2>The perpendicular distance from B to AC is = $\frac{108}{\sqrt{149} } units$ </h2>

Step-by-step explanation:

Given a triangle ABC with vertices A(2,1),B(12,2) and C(12,8)

$x_1=2,y_1=1,x_2=12,y_2=2,x_3=12 and y_3=8$

The area of a triangle is= $\frac{1}{2} [x_1(y_2-y_3) +x_2 (y_3- y_1)+x_3(y_1-y_2)]$

= $|\frac{1}{2} [2(2-8+12(8-1)+12(1-2)]|$

= $|-54|$ = 54 square units

The length of AC = $\sqrt{(x_1-x_3)^{2} +(y_1-y_3)^2}$

= $\sqrt{(2-12)^{2} +(1-8)^2}$

= $\sqrt{149}$ units

Let the perpendicular distance from B to AC be = x

According To Problem

$\frac{1}{2} \times x \times \sqrt{149} = 54$

⇔ $x =\frac{108}{\sqrt{149} }$ units

Therefore the perpendicular distance from B to AC is = $\frac{108}{\sqrt{149} } units$

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3 years ago

What is the degree of the polynomial and what the y-intercept

Arada [10]

Answer:

Polynom degree: 5

Y intercept point: (0, 80)

Step-by-step explanation:

P(x)=(x+5)(x+4)²(x+1)²

When you expand, the highest power of x is 1 for first term (x+5), 2 for second term (x+4)² and again 2 for (x+1)². Overall, x⁵ will be the x term with highest power. So the degree of the polynom is 5.

The y intercept, i.e. intersection with OY axis, happens for x=0. Thus, P(0)=5×4²×1²=5×16=80. The y intercept point is (0, 80)

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3 years ago

a store sold a case of scented candles for$17.85 that had been marked up 110%. what was the original price

densk [106]

If 10% was added to the total (100%), then subtract 10% from 17.85.

17.85 * 0.1 = 1.785
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3 years ago

Select the best answer for the question.

BlackZzzverrR [31]

Upon asking I got the rest of the information needed to answer this question.

-> Which one becomes a repeating decimal?

Your answer is D. 1/9.

1/9 = 0.111111111111111111111111111111111 ... or 0.1 repeating. It can be written with a line over the 1 asyou can see in the attached.

This means that D is the answer to your question.

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2 years ago