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3 years ago

Help me on this please. I have some more also.

Mathematics

1 answer:

qwelly [4]3 years ago

4 0

Q-7
____ =-2
-1
First you multiply by negative on to cancel it out
q-7=2
then you add 7 to the other side
q=9

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Find the coordinates of the reflection: B (5, 4) is reflected over the line x=1

zepelin [54]

Answer:

The coordinates of point B' are (-3, 4) ⇒ C

Step-by-step explanation:

If the point (x, y) reflected across the line x = a, then a is the x-coordinate of the midpoint of the segment joining the point and its image

∵ The coordinates of point B are (5, 4)

∴ x = 5 and y = 4

∵ The point B is reflected over the line x = 1

→ From the rule above

∴ a = 1

∵ The rule of the midpoint is M = ( $\frac{x1+x2}{2}$ , $\frac{y1+y2}{2}$ )

→ The point B is (x1, y1) and the point B' is (x2, y2)

∵ a is the x-coordinate of the midpoint of segment BB'

∴ a = $\frac{x1+x2}{2}$

∵ x1 = 5 and x2 = x

→ Substitute the value of a, x1 and x2 in the rule above

∴ 1 = $\frac{5+x}{2}$

→ Multiply both sides by 2

∵ 2 = 5 + x

→ Subtract 5 from both sides

∴ 2 - 5 = 5 - 5 + x

∴ -3 = x

∴ The x-coordinate of B' = -3

→ y-coordinate of B' = y-coordinate of B because the reflection across

x = a does not change the y-coordinate

∴ y-coordinate of B' = 4

∴ The coordinates of point B' are (-3, 4)

8 0

3 years ago

At the bargain store , Tanya bought 3 items that each cost the same amount. Tony bought 5 items that each cost the same amount b

Afina-wow [57]

Answer:

"Tanya bought 3 items that each cost the same amt"

"Let x represent the cost of one of Tanya's items"

So, Tanya bought 3 items, costing x+x+x = 3x

Note that (number of items)*(cost per item) = (number of items)*(cost/item) = cost, [item cancels out]

"Tony bought 4 items that each cost the same amt, but each was $2.25 less than the items Tanya bought."

The cost for Tony's items was: (x-2.25)+(x-2.25)+(x-2.25)+(x-2.25) = 4*(x-2.25)

"Tanya and Tony paid the same amt. of money"

This is an equation (the same amount means equals)

Tanya's cost = Tony's cost

a.) Write an equation. Let x represent the cost of one of Tanya's items

3x = 4(x-2.25)

Now, the math:

b.) Solve the equation. Show your work.

3x = 4(x-2.25)

3x = 4x - 9.00 [distributive principle; multiply]

-x = -9.00 [subtract 4x from both sides; option, could instead add 9.00, then subtract 3x from both sides, getting 9.00=x]

x = 9.00 [multiply both sides by (-1)]

[note: to "solve for x" means to find the value(s) of x that make the equation true,

so let's see if it is true --]

c.) Check your solution. Show your work.

Is 3x = 4(x-2.25), when x=9.00 ?

3(9.00) = 4(9.00-2.25) ?

27.00 = 36.00 - 9.00 ?

27.00 = 27.00 ?yes

d) State the solution in a complete sentence.

The problem started with: "Tanya bought 3 items that each cost the same amt. Tony bought 4 items that each cost the same amt, but each was $2.25 less than the items Tanya bought. Both Tanya and Tony paid the same amt. of money."

I would write: "Tanya bought 3 items, each costing $9.00. Tony bought 4 items, each costing $6.75. Tanya and Tony each paid $27.00."

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

In the given figure, the alternate interior angles are A: 2,1 B: 2,3 C: 2,4 D: 2,5

Ket [755]

Answer:

The alternate interior angles are 2 and 3

So it's (B)

4 0

2 years ago

6th Grade Math

vodomira [7]

I’m assuming you are trying to find unit rate. It’s pretty simple

You just want to do 830.76/30.1. This gives you 27.6 miles per gallon.

3 0

3 years ago

Part A

lesya692 [45]

Each candy bar cost $5

work:
x = cost of candy bar

3+8(x)=43
-3. -3 < subtract 3 both sides
——————
8(x)= 40
—— —— 8 8

x=5

4 0

3 years ago