Factor a2 + 4ab - 45b2 on your paper. Which one of these is a factor of the trinomial?

Jessica has 19 yellow balloons. Tim has eight times more yellow balloons how many yellow balloons does tim have

nasty-shy [4]

Tim has 152 yellow balloons. 19 times 8 = 152

3 0

2 years ago

jan, mya, and Sara ran a total of 64 miles last week. jan and mya ran the same number of miles. Sara ran 8 less miles than mya.

Debora [2.8K]

So,

We'll just use A to represent both Jan and Mya's miles, since they ran the same number.

We have the equations:
1. Jan (J) = Mya (M)
2. Sara (S) = M - 8
3. 2A + S = 64
J = M
S = M - 8

We'll just use A to represent both J and M.

S = M - 8

We'll use Elimination by Substitution.
2A + A - 8 = 64

Collect Like Terms
3A - 8 = 64

Add 8 to both sides
3A = 72

Divide both sides by 3
A = 24

Since
A = J
and
A = M
and
J = M
then
J = 24
M = 24

Substitute
S = 24 - 8
S = 16

Check
24 + 24 + 16 = 64
64 = 64 This checks.

So,
J = 24
M = 24
S = 16

4 0

3 years ago

Read 2 more answers

Triangles Unit Test part 1 A length of rope is stretched between the top edge of a building and a stake in the ground. The head

musickatia [10]

Answer:

The building is 32 feet tall.

Step-by-step explanation:

Consider the figure drawn below representing the given scenario.

AB represents the height of building, BC is the distance between the stake and building, C represents the stake at ground level, and DE represents the height of the tree growing halfway between building and stake.

Since the tree is growing halfway between B and C, therefore, the point E divides the line segment BC into 2 equal parts.

Therefore, $BE = EC$ or E is the midpoint of BC.

Also, from the figure, it is clear that both tree and building are vertical to the ground. So, DE || AB.

Now, from converse of mid-segment theorem, if a line passes through the midpoint of one side of a triangle and also parallel to the third side, then the line also passes through the midpoint of the second side and half the length of the third side (parallel side)

So,

$DE=\frac{1}{2}\times AB\\\\16=\frac{AB}{2}\\\\AB=16\times 2=32\ ft$

Therefore, the building is 32 feet tall.

5 0

3 years ago

How do u solve the following equation: |r|=1

vredina [299]

You're almost looking at the solution. Almost.

If it only said " r = 1 ", then that would be the solution right there.

But it says " | r | = 1 ", so there's a little more to it.

'r' can be either +1 or -1 and that equation will be a true statement.

So +1 and -1 are both solutions.

7 0

3 years ago

How many dekameters are in 225 millimeters? Use the metric table to help answer the question.

Arada [10]

Answer:

0.0225 dekameters

hope it helps

Step-by-step explanation:

1 millimeter = 0.0001 dekameters

0.0001 x 225 = 0.0225

8 0

3 years ago

Read 2 more answers