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Goshia [24]
3 years ago
7

On a coordinate plane, point A is located at (7, 4), and point B is located at (-8, 4). What is the distance between the two poi

nts? *
-1
3
15
56
Mathematics
1 answer:
wel3 years ago
4 0

Answer:

Solution given;

A(x1,y1)=(7,4)

B(x2,y2)=(-8,4)

distance AB=?

we have

d=\sqrt{(x2-x1) ²+(y2-y1) ²}

AB=\sqrt{(-8-7)²+(4-4)²}

AB=15 units

the distance between the two points is 15 units.

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The explicit rule for the arithmetic sequence shown in the graph is a↓n=9.5+2(n-1)
Virty [35]

Answer:

True.

Step-by-step explanation:

The explicit form for an arithmetic sequence is:

a_n=a_1+d(n-1)

where a_1 is the first term and d is the common difference.

The common difference here is 2 because the y's are going up by 2 while the x's are going up by 1.

Yes, the common difference is the slope.

So we have d=2.

The first term is 9.5 because that is what happens when x=1.

x is n.

y is a_n.

So the answer is true.

----

You can also verify by plugging in numbers for n and see if you get the outputs mentioned in the pairs given:

Let n=1:

a_1=9.5+2(1-1)

a_1=9.5+2(0)

a_1=9.5+0

a_1=9.5

Let n=2:

a_2=9.5+2(2-1)

a_2=9.5+2(1)

a_2=9.5+2

a_2=11.5

Let n=3:

a_3=9.5+2(3-1)

a_3=9.5+2(2)

a_3=9.5+4

a_3=13.5

Let n=4:

a_4=9.5+2(4-1)

a_4=9.5+2(3)

a_4=9.5+6

a_4=15.5

Let n=5:

a_5=9.5+2(5-1)

a_5=9.5+2(4)

a_5=9.5+8

a_5=17.5

Let n=6:

a_6=9.5+2(6-1)

a_6=9.5+2(5)

a_6=9.5+10

a_6=19.5

We have confirmed that we get all 6 of the mentioned points using the equation they gave.

5 0
3 years ago
A family is purchasing a house and needs to finance a 195,000 mortgage from the bank with an annual percentage rate (APR) of 5.3
maksim [4K]

Calculate the monthly payment:

195,000 x ( (0.05/12)x1+0.053)^12)/(1+0.053)^12-1)

Monthly payment = 1,082.84

Multiply monthly payment by 12 to get one year: 1082.84x 12 = 12994.08

Now multiply by 30 years:

12994.08 x 30 = 389822.40

The answer is $389,822

4 0
3 years ago
The choir club at a local school is running a field to a waterpark. There are 6 parks the club is considering. The director has
ddd [48]

The formula C(n, r)= \frac{n!}{r!(n-r)!}, where r! is 1*2*3*...r


is the formula which gives us the total number of ways of forming groups of r objects out of n objects.


for example, given 10 objects, there are C(10,6) ways of forming groups of 6, out of the 10 objects.


<span>Thus, there are C(6, 3) many ways of forming different triples out of 6.</span>


C(6, 3)= \frac{6!}{3!(6-3)!}=\frac{6!}{3!3!}=\frac{6\cdot5\cdot4\cdot3!}{3!3!}=\frac{6\cdot5\cdot4}{3!}=\frac{6\cdot5\cdot4}{3\cdot2\cdot1}=5\cdot4=20


Answer: A.20

5 0
3 years ago
Read 2 more answers
3 divided by 1/2 please help me
rjkz [21]

Answer:

1.5

Step-by-step explanation: 3 divided by 1/2 is 1.5.

7 0
4 years ago
Read 2 more answers
An 8 kg toddler is running at a speed of 10 m/s. How much energy does he have?
Svetradugi [14.3K]

Answer:

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Step-by-step explanation:

6 0
3 years ago
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