MATHEMATICS HIGH SCHOOL

Change the given equation to Slope-Intercept Form of a Linear Equation.3x – 7y = 35

Answers

Answer 1

Answer:

slope-intercept form is y = mx + b

3x - 7y = 35
-3x -3x
-7y = -3x + 35 (divide each side by -7)

y = -3/-7x + 35/-7

y = 3/7x - 5

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Judging from past basketball games, the probability that you make a free throw is 4/5 . If you get 260 attempts this season, how many free throws can you expect to make?

Answers

$260 * (4)/(5) = 208$

You expect to make 208 free throws.

Hope this helps. - M

Answer:

208

Step-by-step explanation:

i got it right on ttm

Use elimination method to solve
5x+y=-10
7x-3y=-36

Answers

$5x+y=-10\n \n 7x-3y=-36$

Let's multiply the first equation by 3. (As you can see y's coefficient in the first one is 1 and in the second one is -3 , we will multiply the first equation by 3 so when we add the equations their sum will be 0)

$3\cdot (5x+y)=3\cdot -10\n \n 15x+3y=-30$

Now let's add this new equation and our second equation.

$7x-3y=-36\n \n 15x+3y=-30\n \n (15x+3y)+(7x-3y)=(-30)+(-36)\n \n 15x+7x+3y-3y=-30-36\n \n 22x=-66\n \n x=\frac { -66 }{ 22 } \n \n x=-3$

We found x=-3

Now let's plug x's value in one of the equations to find y's value.

$x=-3\n \n 5x+y=-10\n \n 5\cdot -3+y=-10\n \n -15+y=-10\n \n y=-10+15\n \n y=5$

So we found y=5

Solution ;

(-3, 5)

A student spins a spinner and rolls a number cube. Is that independent or dependent

Answers

Independent because the outcome of the spin does not affect the outcome of the number cube and vice versa.

Joan has a piece of fabric in the shape of a triangle. She measures two of the angles of the triangle, and each one is 60⁰. She creates two new triangles by cutting the fabric into two identical pieces with a single, straight cut through one of the vertices. Which word describes each of the two new triangles created by Joan's cut?

Answers

Answer:

Congruent

Step-by-step explanation:

By definition, congruent shapes have equal corresponding side lengths and equal corresponding angle measures, thus are identical. The question clearly states that Joan cut the fabric into two identical pieces with a straight cut through one of the vertices, hence the two triangles are congruent.

Answer:

Congruentword describes each of the two new triangles created by Joan's cut.

Which ordered pair is a solution to the system of equations? Use the graph.x+2y=4 (line a)
-3x+2y=-4 (line b)

A. (2,-1)
B. (-2,1)
C. (2,1)
D. (-2, -1)

Answers

{ x + 2y = 4 * ( 3 )
-3 x + 2y = -4

3 x + 6 y = 12
-3 x + 2 y = -4
---------------------
8 y = 8

y = 8 / 8

y = 1

For x :

x + 2 y = 4

x + 2*(1 ) = 4

x + 2 = 4

x = 4 - 2

x = 2

Answer C ( 2 , 1 )

hope this helps!

A small acting club has 4 members. three of the members are to be chosen for a trip to see a broadway play. how many different 3 -member groups are possible?

Answers

I think the answer is 4 different possibility's.

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