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3 years ago

Find the slope of the line that contains (-1,9) and (9,9).

Mathematics

2 answers:

denis23 [38]3 years ago

7 0

Answer:

Step-by-step explanation:

Okay, so the formula is $\frac{Rise}{Run}$ but since you do not have a graph you can use the formula: $\frac{Y_{2}-Y_{1} }{X_{2}-X_{1} }$ .

Plug in the numbers.

$\frac{9-9}{9-(-1)}$

$\frac{0}{10}$

So, it would be 0.

0÷10=0

Artyom0805 [142]3 years ago

5 0

Answer:

Step-by-step explanation:

When we have 2 points, we can find the slope from

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

= (9-9)/(9--1)

= 0/(9+1)

= 0/10

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Determine the solution to the given system of equations. -2 equals negative y minus x. Y equals negative 1 minus x

elena-s [515]

Answer:

The system of equations has no solutions

Step-by-step explanation:

Here, we want to solve the system of equations simultaneously;

-2 = -y - x

y = -1 - x

Substitute the second into the first

-2 = -(-1-x) - x

-2 = 1 + x - x

We can see that the system has no solutions

6 0

3 years ago

Find the equation of a line passing through (3, -5) that is parallel to 2x+6y=10

Zina [86]

Answer:

The equation of the line would be y = -1/3x - 4

Step-by-step explanation:

In order to find this, we first need to find the slope of the original line. We do this by solving for y.

2x + 6y = 10

6y = -2x + 10

y = -1/3x + 5/3

Now that we see the slope as -1/3, we know the new line will have the same slope thanks to the definition of parallel lines. So, we can use this slope and the point in point-slope form to find the equation.

y - y1 = m(x - x1)

y - -5 = -1/3(x - 3)

y + 5 = -1/3x + 1

y = -1/3x - 4

4 0

4 years ago

The volume of a sphere is 5,000 pie m^3. What is the surface area of the sphere to the nearest square meter?

ExtremeBDS [4]

The correct answer is A

5 0

3 years ago

Kristen invests $ 5745 in a bank. The bank 6.5% interest compounded monthly. How long must she leave the money in the bank for i

podryga [215]

Answer:

1. 10.7 years

2. 17.0 years

3. 2nd option

Step-by-step explanation:

Use formula for compounded interest

$A=P\cdot \left(1+\dfrac{r}{n}\right)^{nt},$

where

A is final value, P is initial value, r is interest rate (as decimal), n is number of periods and t is number of years.

In your case,

1. P=$5745, A=2P=$11490, n=12 (compounded monthly), r=0.065 (6.5%) and t is unknown. Then

$11490=5745\cdot \left(1+\dfrac{0.065}{12}\right)^{12t},\\ \\2=(1.0054)^{12t},\\ \\12t=\log_{1.0054}2,\\ \\t=\dfrac{1}{12}\log_ {1.0054}2\approx 10.7\ years.$

2. P=$5745, A=3P=$17235, n=12 (compounded monthly), r=0.065 (6.5%) and t is unknown. Then

$17235=5745\cdot \left(1+\dfrac{0.065}{12}\right)^{12t},$

$3=(1.0054)^{12t},$

$12t=\log_{1.0054}3,$

$t=\dfrac{1}{12}\log_{1.0054}3\approx 17.0\ years.$

3. <u>1 choice:</u> P=$5745, n=12 (compounded monthly), r=0.065 (6.5%), t=5 years and A is unknown. Then

$A=5745\cdot \left(1+\dfrac{0.065}{12}\right)^{12\cdot 5},\\ \\A=5745\cdot (1.0054)^{60}\approx \$7936.39.$

<u>2 choice:</u> P=$5745, n=4 (compounded monthly), r=0.0675 (6.75%), t=5 years and A is unknown. Then

$A=5745\cdot \left(1+\dfrac{0.0675}{4}\right)^{4\cdot 5},\\ \\A=5745\cdot (1.0169)^{20}\approx \$8032.58.$

The best will be 2nd option, because $8032.58>$7936.39

5 0

3 years ago

Read 2 more answers

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umka21 [38]

Sorry I can’t buddy........................................................:(

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3 years ago