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Svet_ta [14]
2 years ago
8

How many times can 14 go into 8574?

Mathematics
1 answer:
bearhunter [10]2 years ago
8 0
612.4285714285714 is the answer
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SOLVE FOR X. pls i need help
Lyrx [107]
X=8
Set up proportions would give you: 10/3x+1 = 22/7x-1
With that in mind, cross multiply, which would give you: 10(7x-1) = 22(3x+1).
Turns into: 70x -10 = 66x+22. Then just solve for x
5 0
3 years ago
Prove algebraically that the straight line with equation x=2y+5 is a tangent to the circle with equation x^2+y^2=5
zmey [24]

Differentiate both sides of the equation of the circle with respect to x, treating y=y(x) as a function of x:

x^2+y^2=5\implies2x+2y\dfrac{\mathrm dy}{\mathrm dx}=0\implies\dfrac{\mathrm dy}{\mathrm dx}=-\dfrac xy

This gives the slope of any line tangent to the circle at the point (x,y).

Rewriting the given line in slope-intercept form tells us its slope is

x=2y+5\implies y=\dfrac12x-\dfrac52\implies\mathrm{slope}=\dfrac12

In order for this line to be tangent to the circle, it must intersect the circle at the point (x,y) such that

-\dfrac xy=\dfrac12\implies y=-2x

In the equation of the circle, we have

x^2+(-2x)^2=5x^2=5\implies x=\pm1\implies y=\mp2

If x=-1, then -1=2y+5\implies y=-3\neq2, so we omit this case.

If x=1, then 1=2y+5\implies y=-2, as expected. Therefore x=2y+5 is a tangent line to the circle x^2+y^2=5 at the point (1, -2).

7 0
3 years ago
Read 2 more answers
What is the factored form of c^2=5c
mestny [16]
c^2=5x\\
c^2-5c=0\\
c(c-5)=0

4 0
3 years ago
Does anyone know how to do this?<br><br><br><br>i need help with #11 &amp; 12
Lynna [10]
Sorry but I can’t see the picture =23
4 0
3 years ago
The points A(4, 0) and B(3, 7) are two vertices of right triangle ABC. The hypotenuse of the triangle is AB¯¯¯¯¯.
Anna35 [415]

Answer:

C(3, 0)

Explanation:

A(4, 0) and B(3, 7)

<u>When Drawn These Two coordinates</u>

Identify the coordinates which make the triangle 90° (right angle triangle)

<u>Stated that the Point C is on the x-axis</u>, the value of y will be 0

Coordinates of C: (3, 0)

7 0
2 years ago
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