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Musya8 [376]
3 years ago
15

For each line, state its slope and its y-intercept. 6y-2x=15

Mathematics
1 answer:
JulsSmile [24]3 years ago
8 0
Again same here, isolate the y variable to get it in y=mx+b form

6y=2x+15 divide by 6 to isolate the y and your equation is...

y=1/3x+15/6. Or 15/6 can be simplified to 5/2.
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Given x=-3, y=6, and z=-4 xz/-2y
zimovet [89]

Answer:

-1

Step-by-step explanation:

sub in the values of x, y and z into the equation

you get:

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

= 12/-12

= -1

8 0
3 years ago
Read 2 more answers
Help please i don’t know how to do it
Norma-Jean [14]

Answer:

Step-by-step explanation:

\frac{dy}{dx}=x^{2}(y-1)\\\frac{1}{y-1} \text{ } dy=x^{2} \text{ } dx\\\int \frac{1}{y-1} \text{ } dy=\int x^{2} \text{ } dx\\\ln|y-1|=\frac{x^{3}}{3}+C\\

From the initial condition,

\ln|3-1|=\frac{0^{3}}{3}+C\\\ln 2=C

So we have that \ln |y-1|=\frac{x^{3}}{3}+\ln 2\\e^{\frac{x^{3}}{3}+\ln 2}=y-1\\2e^{\frac{x^{3}}{3}}=y-1\\y=2e^{\frac{x^{3}}{3}}+1

4 0
2 years ago
a regular rectangular pyramid has a base and lateral faces that are congruent equilateral triangles. it has a lateral surface ar
Margarita [4]
A pyramid is regular if its base is a regular polygon, that is a polygon with equal sides and angle measures.
(and the lateral edges of the pyramid are also equal to each other)

Thus a regular rectangular pyramid is a regular pyramid with a square base, of side length say x.

The lateral faces are equilateral triangles of side length x.

The lateral surface area is 72 cm^2, thus the area of one face is 72/4=36/2=18  cm^2.

now we need to find x. Consider the picture attached, showing one lateral face of the pyramid.

by the Pythagorean theorem: 

h= \sqrt{ x^{2} - (x/2)^{2}}= \sqrt{ x^{2}- x^{2}/4}= \sqrt{3x^2/4}= \frac{ \sqrt{3} }{2}x

thus, 

Area_{triangle}= \frac{1}{2}\cdot base \cdot height\\\\18= \frac{1}{2}\cdot x \cdot \frac{ \sqrt{3} }{2}x\\\\ \frac{18 \cdot 4}{ \sqrt{3}}=x^2

thus:

x^2 =\frac{18 \cdot 4}{ \sqrt{3}}= \frac{18 \cdot 4 \cdot\  \sqrt{3} }{3}=24 \sqrt{3}       (cm^2)

but x^{2} is exactly the base area, since the base is a square of sidelength = x cm.


So, the total surface area = base area + lateral area =  24 \sqrt{3}+72   cm^2


Answer: 24 \sqrt{3}+72   cm^2

4 0
2 years ago
X(x) + 12x + 21 = 0 factor
Yakvenalex [24]
It is not factorable. Factors of 21 are. 21 and 1
7 and 3. None of those add up to 12
3 0
3 years ago
The perimeter of a square is 32cm. what is the lenght of each side​
pshichka [43]

Answer:

<h2>s = 8 cm</h2>

Step-by-step explanation:

For a square, P = 4s, where s is the length of one side.

Thus,            32 cm = 4s, and s = 8 cm

8 0
3 years ago
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