All categories

3 years ago

Given J(x,-8) and K(-1,-5) and the graph of line l, find the value of x so that line JK is parallel to l

Mathematics

1 answer:

Ronch [10]3 years ago

3 0

Answer: x=-2

Step-by-step explanation:

You might be interested in

An infinite geometric series has a first term ai = 15 and a sum of 45. Explain how you

oee [108]

Answer:

r= $\frac{2}{3}$

Step-by-step explanation:

The sum to infinity of a geometric series is calculated as

S∞ = $\frac{a_{1} }{1-r}$ ; | r | < 1

where a₁ is the first term and r the common ratio

here a₁ = 15 and S∞ = 45 , then

45 = $\frac{15}{1-r}$ ( multiply both sides by (1 - r ) )

45(1 - r) = 15 ( divide both sides by 45 )

1 - r = $\frac{15}{45}$ = $\frac{1}{3}$ ( subtract 1 from both sides )

- r = $\frac{1}{3}$ - 1 = - $\frac{2}{3}$ ( multiply both sides by - 1 )

r = $\frac{2}{3}$

8 0

2 years ago

Write the following equation in slope -intercept form : y - 3 = 4(x + 2)

andreyandreev [35.5K]

Answer:

y=4x+11

Step-by-step explanation:

multiply 4 into the parentheses to get y-3=4x+8 then invert -3 so add three to both sides to get rid of it so instead of +8 its +11 so now its y=4x+11 and slope intercept is y=mx+b, so 4 is m, slope, and 11 is b, the y intercept i hope that helps

7 0

3 years ago

A series of quarterly payments of P1,300 each at the first payment is due at 4 years, and the last payment at the end of 12 year

gtnhenbr [62]

Answer:

The Value of Payments is P18,557.15

Step-by-step explanation:

The quarterly payment is an annuity payment.

Use the following formula to calculate the present value of the payments.

PV of Annuity = Annuity Payment x ( 1 - ( 1 + interest rate )^-Numbers of periods ) / Interest rates

Where

Annuity Payment = Quarterly payment = P1,300

Interest rate = 5.12% x 3/12 = 1.375%

Numbers of periods = 4 years x 12/3 = 16 quarters

PV of Annuity = Value of Payments = ?

Placing values in the formula

Value of Payments = P1,300 x ( 1 - ( 1 + 1.375% )^-16 ) / 1.375%

Value of Payments = P18,557.15

4 0

3 years ago

General admission tickets to the fair cost $3.50 per person ride passes cost an additional $5.50 per person parking costs $6 for

Dovator [93]

5 people attended the fair bc 9x5is 45 plus 6 for parking makes 51

3 0

3 years ago

I need help with 5. And 6. Plsss!!

nataly862011 [7]

Answer:

see explanation

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

(5)

x² + (y - 4)² = 25 ← is in standard form

with centre = (h, k) = (0, 4) → A

(6)

here (h, k) = ( 9, - 5) and r = 1, hence

(x - 9)² + (y - (- 5))² = 1², that is

(x - 9)² + (y + 5)² = 1 ← equation of circle

6 0

3 years ago