All categories

2 years ago

(-8, -6) is reflected across the y -axis what is the new coordniated?

1 answer:

4 0

When reflecting across the y-axis, the y coordinate stays the same.
(x, y) —> (-x, y)
Since the x-coordinate is already a negative we change it to a positive
(-8, -6) —> (8, -6)

You might be interested in

Gavin has $7,500 to invest. He is considering two investment options. Option A pays 4% simple interest. Option B pays 3.15% inte

Leviafan [203]

Solution:

Principal =P= $ 7,500

Option A→(Simple interest)

Rate of interest= R=4%

Time( $T_{1}$ )=4 years

Time( $T_{2}$ )=6 years

Amount= Principal + Interest(Simple or compound interest)

Formula for Simple interest

$S.I=\frac{P\times R\times T}{100}$

$S.I_{1}=\frac{7500 *4*4}{100}=1200\\\\ S.I_{2}=\frac{7500 *4*6}{100}=1800$

Total amount after 4 years when interest is simple= 7500 +1200= $ 8700

Total amount after 6 years when interest is simple= 7500 +1800= $ 9300

Option B

Formula for amount(A) when interest is 3.15% compounded annually.

$A=P*(1+\frac{R}{100})^t$

$A_{4}=7500*(1+\frac{3.15}{100})^4\\\\ A_{4}=7500*(\frac{103.15}{100})^4\\\\ A_{4}=7500*(1.0315)^4\\\\ A_{4}=7500*1.1320\\\\ A_{4}=8490.60$

$A_{6}=7500*(1+\frac{3.15}{100})^6\\\\ A_{6}=7500*(\frac{103.15}{100})^6\\\\ A_{6}=7500*(1.0315)^6\\\\ A_{6}=7500*1.2045\\\\ A_{6}=9033.9286$

Total amount after 4 years when interest is compounded annually=$ 8491 (approx)

Total amount after 6 years when interest is compounded annually=$ 9034(approx)

4 0

3 years ago

Read 2 more answers

Are the graphs of the lines in the pair parallel? Explain. Find the slope of a line parallel to 5x+2y=6

Sonja [21]

Answer:

Yes the graphs of the lines are in pair parallel.

Step-by-step explanation:

They are in pair parallel because they do not touch each other. To find the slope of the line that is parallel to 5x+2y=6...

The first thing to do is subtract 5x since its a positive so it would look like this:

5x+2y=6

-5x =-5x

Next you would divide by 2 on each side so the y can be isolated:

5x+2y=6

-5x =-5x

2y = -5x + 6

2 2

Lastly the 2 divided by 2 gets crossed out because they cancel each other out and divide -5x by 2 and 6 by 2 then you would be stuck with this:

y= -2.5x+3

So your parallel slope would be -2.5x.

8 0

3 years ago

Circle O is shown. Line segments B O and O C are radii. Point A is on the circle and is not within angle B O C.

Paha777 [63]

The ratio of major to minor arc = 2 : 1

What is a Circle?

A circle is the locus of a point such that its distance from a fixed point (center) is always constant.

Calculation

The length of an arc (L) with center angle θ is given by:

L = (θ/360) * 2πr

where r is the radius.

Putting the values in the above formula.

For the major arc:

L = (240/360) * 2πr

For the major arc:

l = ((360-240)/360) * 2πr

l = (120/360) * 2πr

The ratio of major to minor arc = [(240/360) * 2πr] / [(120/360) *2πr] = 2 : 1

The ratio of major to minor arc = 2 : 1.

Learn more about the circle here:

brainly.com/question/15125799

#SPJ1

5 0

2 years ago

Please answer this correctly

Over [174]

Answer:

54 9/10

Step-by-step explanation:

The perimeter is the sum of all the sides

13 1/4 + 12 1/5 + 18 1/4 + 11 1/5

Add up the whole numbers

13+12+18+11 = 54

1/4+1/5+1/4+1/5

2/4+2/5

1/2+2/5

Get a common denominator

1/2*5/5 + 2/5*2/2

5/10 + 4/10

9/10

Add them back together

54 9/10

4 0

3 years ago

Eastridge High School’s Student Government Association is holding a raffle to raise money for a local food pantry. They have spe

Blababa [14]

"Interpret the rate of change and the y-intercept.

Rate of change is 5. Each ticket costs 5$.

Y-intercept is (0,-17). They spent $17 on supplies before they sold tickets.

(Sorry, you probably already know the answer)

5 0

3 years ago