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Maslowich
3 years ago
9

I need help please 16x-20y=60 slope intercept form

Mathematics
1 answer:
nexus9112 [7]3 years ago
7 0
The slope intercept form is y=(4/5)x-(6/2)
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Find a ·<br> b. |a| = 80, |b| = 50, the angle between a and b is 3π/4.
mart [117]

Answer:

a\cdot b=-2000\sqrt{2}

Step-by-step explanation:

Given information: |a| = 80, |b| = 50, the angle between a and b is 3π/4.

We need to find the dot product  a · b.

The formula of dot product is

a\cdot b=|a||b|\cos \theta

where, θ is the angle between a and b.

Substitute the given values in the above formula.

a\cdot b=(80)(50)\cos (\frac{3\pi}{4})

a\cdot b=4000\cos (\pi-\frac{\pi}{4})

a\cdot b=-4000\cos (\frac{\pi}{4})           [\because \cos (\pi-\theta)=-\cos \theta]

a\cdot b=-4000\frac{1}{\sqrt{2}}

a\cdot b=-\frac{4000}{\sqrt{2}}

Rationalize the above equation.

a\cdot b=-\frac{4000}{\sqrt{2}}\times \frac{\sqrt{2}}{\sqrt{2}}

a\cdot b=-\frac{4000\sqrt{2}}{2}

a\cdot b=-2000\sqrt{2}

Therefore, the value of a · b is a\cdot b=-2000\sqrt{2}.

7 0
3 years ago
Read 2 more answers
What is 1+2+3+⋯+2014+2015+2016
OleMash [197]

Answer:6,051

Step-by-step explanation:1+2+3+2,014+2,015+2,016

5 0
3 years ago
Solve for x<br> 4- (2x + 4) = 5
kaheart [24]

Answer:

x= -5/2

Step-by-step explanation:

4 - (2x+4)=5

4-2x-4=5

-2x=5

x=-5/2

4 0
2 years ago
Add a football stadium 2% of the fans in attendance were teenagers if there were 110 teenagers at the football stadium what is t
rusak2 [61]

Answer:

The total number of people at the stadium is 5,500

Step-by-step explanation:

2% of the fans in attendance were teenagers

if there were 110 teenagers at the football stadium

what is the total number of people at the stadium?

Let x = total number of people at the stadium

2% of x = 110

2/100 * x = 110

0.02x = 110

Divide both sides by 0.02

x = 110 / 0.02

= 5,500

x = 5,500

The total number of people at the stadium is 5,500

4 0
2 years ago
Dan takes a test worth 100 points. Each question is worth the same number of points. Dan misses 5 questions and scores 80 on the
maw [93]
<span>each question is worth 4 points because if he missed 5  questions and 5*4 is 20 and 20 minus 100 is 80

</span>
7 0
3 years ago
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