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kicyunya [14]
3 years ago
7

What is the equation of a line that has a slope of 4/3 and goes through the point (0, – 3), in slope-intercept form?

Mathematics
1 answer:
tekilochka [14]3 years ago
5 0

Answer:

y = \frac{4}{3}x - 3

Step-by-step explanation:

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Determine the points of intersection of the line y=2x+5 and the circle x²+y²=36
Vladimir79 [104]

The two intersection points are (-2.79,  -0.58) and (0.79,  6.58).

<h3>How to find the points of intersection?</h3>

Here we want to solve the system of equations:

y = 2x + 5

x² + y² = 36

To solve this, we need to replace the first equation into the second one:

x² + (2x + 5)² = 36

Now we can solve this for x:

x² + 4x² + 10x + 25 = 36

5x² + 10x - 11 = 0

This is a quadratic equation, to solve it we use the general formula:

x = \frac{-10 \pm \sqrt{10^2 - 4*5*(-11)} }{2*5} \\\\x = \frac{-10 \pm 17.9 }{10}

So we have two solutions for x:

x = (-10 - 17.9)/10 = -2.79

x = (-10 + 17.9)/10 = 0.79

To get the y-values of the solutions, we evaluate the linear equation in these values of x:

y = 2*(-2.79) + 5 = -0.58

y = 2*( 0.79) + 5 = 6.58

Then the two intersection points are (-2.79,  -0.58) and (0.79,  6.58).

If you want to learn more about intersection points:

brainly.com/question/17206319

#SPJ1

5 0
2 years ago
pls help, i need to write an essay explaining what the difference is between finding the volume and total surface of a shape
Vinil7 [7]

Answer:

The surface area applies to how much space a SOLID objects occupies while volume is  the space that a substance (solid, liquid, gas, or plasma) or shape occupies or contains, so volume can be anything.

Step-by-step explanation:

you can't really write an essay-

8 0
3 years ago
Read 2 more answers
A dog kennel charges $40 to board a dog for one night and $35 per night each night after that. Henry
Lostsunrise [7]

Answer: 6 nights

Step-by-step explanation:Step-by-step

Minus 40 from 215 then divide it by 35

8 0
3 years ago
Find w.<br><br> A. 8.9<br><br> B. 0.05<br><br> C. 0.08<br><br> D. 5.2
enyata [817]

Answer:

Step-by-step explanation:

Measure of angle V = 180 - 62 - 36 = 82 degrees

So by the law of sines, 10/sin(82 deg) = w/sin(62 deg)

w = [10sin(62)]/sin(82)

from here just plug this into a calculator

4 0
2 years ago
PROVE :<br><br>sin^2(-300°).cos^2 (120)+ cos^2(-240 ).sin^2(390)=1/4​
leva [86]

Step-by-step explanation:

\sin {}^{2} ( - 300)  \cos {}^{2} (120)  +  \cos {}^{2} ( - 240)  \sin {}^{2} (390)  =  \frac{1}{4}

\sin {}^{2} (60)  \cos {}^{2} ( {}^{} 120)  +  \cos {}^{2} (120)  \sin {}^{2} (30)

\frac{3}{4}  \frac{1}{4}  +  \frac{1}{4}  \frac{1}{4}

\frac{3}{16}  +  \frac{1}{16}  =  \frac{4}{16}  =  \frac{1}{4}

3 0
2 years ago
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