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3 years ago

The points (4, 1) and (x, -6) lie on the same line. If the slope of the line is 1, what is the value of x?

Mathematics

2 answers:

svp [43]3 years ago

8 0

Answer:

Step-by-step explanation:

Calculate the slope m using the slope formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (4, 1) and (x₂, y₂ ) = (x, - 6)

m = $\frac{-6-1}{x-4}$ = 1

m = $\frac{-7}{x-4}$ = 1 ( cross- multiply )

x - 4 = - 7 ( add 4 to both sides )

x = - 3 → A

myrzilka [38]3 years ago

4 0

Slope formula is m= (y2-y1)/(x2-x1)

We know that slope is 1. So,

(-6-1)/(x-4) = 1

Then solve for x

-6-1 = x-4

x-4 = -7

x= -7+4

x= -3

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Step-by-step explanation:

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3 years ago

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4 years ago

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Jimmy invests $500 in an account with a 3% interest rate, making no other deposits or withdrawals. What will Jimmy’s account bal

Anastaziya [24]

Answer:

Jimmy's account balance will be $673.43 after 10 years.

Step-by-step explanation:

The compound interest formula is given by:

$A = P(1 + \frac{r}{n})^{nt}$

Where A is the amount of money, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per unit t and t is the time the money is invested or borrowed for.

In this problem, we have that:

$P = 500, r = 0.03, n = 2, t = 10$

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4 0

3 years ago

A model car is built on a scale of 2:21 of a real car . If the real car has a height of 1.7 meters , what is the height of the m

bogdanovich [222]

To get from the real value to the model value, you must divide by 21 and times by two (since 21/21 = 1 and 1 x 2= 2 in the ratio) this is the same as multiplying by the fraction 2/21.
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3 years ago

You have 8 shopping trips to make this week. You have time to make any 4 of them today. In how many ways can you select the four

kumpel [21]

Answer:

1680 ways

Step-by-step explanation:

In this question, we are tasked with finding the number of ways in which we can select 4 trips out of 8 to make today.

Let us label the the trips we are to select as A B C D, one after the other

For selection A, we have 8 different trips waiting to be selected

For selection B, we have 7 trips to select from

For C, we have 6 to select from

while for D, we have 5 to select from. Thus, the total number of ways in which we can select these trips can be calculated as = 8 × 7× 6× 5 = 1,680 ways

7 0

3 years ago