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marissa [1.9K]
3 years ago
6

Determine the equation of a line, in slope-intercept form, that passes through the points (5, 6) and (10, 2).

Mathematics
1 answer:
stealth61 [152]3 years ago
8 0
See the picture for answer

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Can someone please do number 12 and 14 for me ?
KengaRu [80]
12. Yes, because the diagonals of a parallelogram bisect each other.
14. Yes, a parallelogram has opposite sides that are equal.

Hope this helps =)
3 0
3 years ago
Solve 4 over x minus 4 equals the quantity of x over x minus 4, minus four thirds for x and determine if the solution is extrane
Vinil7 [7]
I'm thinking this is what the problem looks like: \frac{4}{x-4}= \frac{x}{x-4}- \frac{4}{3}.  The first thing to do is to move the \frac{x}{x-4} over to the other side because it has a common denominator with the other side.  Doing that and at the same time combining them over their common denominator looks like this: \frac{4-x}{x-4}= -\frac{4}{3}.  The best way to solve for x now is to cross-multiply to get 3(4-x)=-4(x-4).  Distributing through the parenthesis is 12 - 3x = -4x + 16.  Solving for x gives us x = 4.  Of course when we sub a 4 back in for x we get real problems, don't we?  Dividing by zero breaks every rule in math that there ever was! So, yes, the solution is extraneous.
6 0
3 years ago
A gray crayon is made with 5\text{ mL}5 mL5, space, m, L of black wax for every 6\text{ mL}6 mL6, space, m, L of white wax.
zloy xaker [14]
The correct answers are B and C.

Since the mixture requires 5 mL of black wax and 6 mL of white wax, we want multiples of these numbers; specifically, we need multiples that are the same number of times away.

A does not work; 10 is 5*2 and 24 is 6*4.  These won't be in the same ratio.

B works; 15 is 5*3 and 18 is 6*3.  These have the same ratio.

C works; 35 is 5*7 and 42 is 6*7.  These have the same ratio.

D does not work; 26 is not a multiple of 6.

E does not work; 45 is 5*9 and 48 is 6*8.  These will not have the same ratio.
8 0
3 years ago
Read 2 more answers
What is 57.82 ÷ 0.784 (show ur work)
faltersainse [42]

Answer:

73.75

Step-by-step explanation:

\frac{57.82}{0.784}
Multiply numerator and denominator by 1000:

\frac{57820}{784}

Divide 57820 by 784 to get 7
Now divide 2940 by 784 to get 3

Now divide 5880 by 784 to get 7

Now divide 3920 by 784 to get 5

The solution of the long division is :

73.75

8 0
2 years ago
NO LINKS!!
yan [13]

Answer:

y=-\dfrac{1}{2}(x+4)^2-1

Step-by-step explanation:

Vertex form:  y=a(x-h)^2+k  

where:

  • (h, k) is the vertex
  • a is some constant

Given:

  • vertex = (-4, -1)
  • point on parabola = (-2, -3)

Substitute given values into the formula to find a:

\implies -3=a((-2)-(-4))^2+(-1)

\implies -3=a(2)^2-1

\implies -3=4a-1

\implies -2=4a

\implies a=-\dfrac{2}{4}=-\dfrac{1}{2}

Therefore, the equation of the parabola is:

y=-\dfrac{1}{2}(x+4)^2-1

6 0
2 years ago
Read 2 more answers
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