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3 years ago

Given triangle ABC with vertices A(16,0), B(9,2), and C(2,0).

1 answer:

4 0

Given:

Triangle Point coordinates or vertices:
A(16,0)
B(9,2)
C(2,0)

Required:

Side with slope -2/7

Solution:

To know which side has the slope required, we need to calculate the slope of each paired point by the two-point slope formula:

m = (y2-y1)/(x2-x1)

We first try points A and B.

m1 = (2-0)/(9-16)

m1 = -2/7

Thus, the side with the slope -2/7 is side AB.

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Identify the 42nd term of an arithmetic sequence where a1 = -12 and a27 = 66

Dmitry_Shevchenko [17]

The arithmetic formula is expressed as an = a1 + d *(n-1)where n is an integer. Substituting from the given a1 = -12 and a27 = 66, 66 = -12 + d *(27-1). hence , d is equal to 3. a42 thus using the formula is equal to 111. The final answer to this problem is 111.

7 0

3 years ago

Read 2 more answers

An integer from 300 through 780, inclusive is to be chosen at random, find the probability that the number is chosen will have 1

exis [7]

Answer:

93/481

Step-by-step explanation:

Total number of integers from 300 through 780, inclusive:

780 - 299 = 481

Number of integers with at least one of digit 1:

Hundreds - 0,
Tens - 5*10 = 50 (31th, 41th, 51th, 61th, 71th)
Units - 4*9 + 7 = 43 (300 till 699 and 700 till 780)
So in total 50 + 43 = 93

The probability is:

P = favorable outcomes/total outcomes = 93/481

6 0

3 years ago

Suppose that 10 years ago you bought a home for $160,000, paying 10% as a down payment, and financing the rest at 9% interest fo

Goshia [24]

Answer:

Current monthly payment on their existing mortgage would be $1158.66

Step-by-step explanation:

Total cash value = $160,000

Down payment = 10% of 160,000

Down Payment = $16,000

Balance amount = 160,000 - 16,000 = $144,000

Monthly payment formula:

$P=\dfrac{r(PV)}{1-(1+r)^{-n}}$

where,

PV is present value of home, PV=$144,000

r is rate per period , $r=\frac{9}{1200}=0.0075$

n is number of period, n=30x12 = 360

$P=\dfrac{0.0075\times 144000}{1-(1+0.0075)^{-360}}$

$P=\$ 1158.66$

Monthly payment would be same for 30 years.

Thus, Current monthly payment on their existing mortgage would be $1158.66

5 0

3 years ago

Given the definitions of f(x) and g(x) below, find the value of g( f(-5)).

tensa zangetsu [6.8K]

Answer:

we conclude that:

g(f(-5)) = 30

Step-by-step explanation:

Given

f(x) = x+9

g(x) = x² + 7x – 14

To determine

g(f(-5)) = ?

First, we need to find f(-5)

f(x) = x+9

substitute x = -5

f(-5) = (-5)+9

f(-5) = -5+9

f(-5) = 4

g(f(-5)) = g(4)

Now, we need to find g(4)

g(x) = x² + 7x – 14

substitute x = 4

g(4) = (4)² + 7(4) - 14

g(4) = 16 + 28 - 14

g(4) = 30

i.e.

g(f(-5)) = g(4) = 30

Therefore, we conclude that:

g(f(-5)) = 30

7 0

3 years ago

The prism below is packed with no gaps between the cube that measure 1/4 ft. What is the volume, in cubic feet of the right rect

Yuki888 [10]

Answer: 1/2

First you do 4/4 times 4/4. Which is equal to 1. Then, you multiply by 2/4 to get 1/2.

5 0

3 years ago