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boyakko [2]
3 years ago
13

Write the equation of the line that passes through the points (-6, 4) and (-3,-2).

Mathematics
1 answer:
pochemuha3 years ago
4 0

Answer:

y=-2x-8

Step-by-step explanation:

-2-4/-3-(-6)=-6/3=-2

y-4=-2(x-(-6))

y-4=-2(x+6)

y-4=-2x-12

y=-2x-12=4

y=-2x-8

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Quadrilateral DEFG has vertices at D(−2,2), E(−1,4), F(2,3), and G(−1,−2). Find the vertices of the quadrilateral after a dilati
dangina [55]

Answer: D(-7,7),E(-3.5,14),F(7,10.5), and G(-3.5, -7)

7 0
3 years ago
Find the volume of the solid generated by revolving the region bounded by
Rama09 [41]

Answer:

V =\dfrac{25\pi}{\sqrt{2}}

Step-by-step explanation:

given,

y=5√sinx

Volume of the solid by revolving

V = \int_a^b(\pi y^2)dx

a and b are the limits of the integrals

now,

V = \int_a^b(\pi (5\sqrt{sinx})^2)dx

V =25\pi \int_{\pi/4}^{\pi/2}sinxdx

\int sin x = - cos x

V =25\pi [-cos x]_{\pi/4}^{\pi/2}

V =25\pi [-cos (\pi/2)+cos(\pi/4)]

V =25\pi [0+\dfrac{1}{\sqrt{2}}]

V =\dfrac{25\pi}{\sqrt{2}}

volume of the solid generated is equal to V =\dfrac{25\pi}{\sqrt{2}}

4 0
3 years ago
Which of the following statements is true?
julia-pushkina [17]
A) A triangle can have two congruent angles.
It's called an Isosceles Triangle
5 0
3 years ago
If sinX= 0.9, what is the value of cos X?<br><br> Round the value to the nearest thousandth.
SSSSS [86.1K]

Answer: sqrt(19)/10

Step-by-step explanation:

sinx=0.9

x=arcsin(0.9)


Insert x for cos(x):

cos(arcsin(0.9)=

Use identify cos(arcsin(x))=\sqrt{1-x^{2} }, so

\sqrt{1-(\frac{9}{10})^{2}} =\sqrt{\frac{19}{100} } =\frac{\sqrt{19}}{10}


Sorry if this is confusing.



6 0
3 years ago
A right angled triangle has two shorter sides and one is twice as long as the other. The hypotenuse is 25cm long. What are the l
Bas_tet [7]

Answer:  x =  14.43

Step-by-step explanation:

The Pythagorean Theorem states the following:  

a^2 + b^2 = c^2  

Make one side of the triangle x  

Make the second side of the triangle 2x  

Now, you can plug the values into the equation,  right?  

x^2 + 2x^2 = 25^2 or 625  

3x^2 = 625

Divide each side by 3 and you are left with:  

x^2 =  208.33

Now, take the square root of 208.33

x =  14.43

That is the shorter side. The longer side is twice that value: Therefore, 14.43 x 2 = 28.86 14.43 is one side of the triangle. The other is that same value times two. Therefore, the sides of your triangle are: 14.43 Shorter side 28.86 Longer side

5 0
3 years ago
Read 2 more answers
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