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4 years ago

Write the slope-intercept form of the equation of the line through the given point with the given slope.

1 answer:

5 0

Slope itnercept is y=mx+b

ok, let's start with point slope form
y-y1=m(x-x1)
a point on the line is (x1,y1) and the slope is m
so given point (-3,4) and slope -3/4
y-4=-3/4(x-(-3))
y-4=-3/4(x+3)
distribute to solve for y
y-4=(-3/4)x-9/4
add 4 to both sides
y=(-3/4)x-9/4+4
y=(-3/4)x-9/4+16/4
y=(-3/4)x+7/4

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Two dice are tossed. The probability that the total score is a prime number is:

andrew11 [14]

Step-by-step explanation:

50/50 it's random I think but I learned that in science

8 0

4 years ago

Read 2 more answers

Last January, the average cost of a one-night stay at a hotel was $132.52. Since then, the hotel has changed ownership, and

Nikolay [14]

Answer:

$114.32

Step-by-step explanation:

Original Price: $132.52

increased: $34.65

Loyalty Club: -$57.80

Phone Fee: $4.95

You add all of them together, except for the Loyalty Club Fee. You subtract that fee by the total.

4 0

3 years ago

Please help me with this.

kompoz [17]

Answer:

$75\sqrt{2}(\sqrt{3}-1)$

Step-by-step explanation:

In every right triangle, a leg is given by the multiplication of the sine of its opposite angle and the hypothenuse.

In this case, the opposite angle of x is 15°, and the hypothenuse is 300. So, we have

$x = 300\sin(15) = 75\sqrt{2}(\sqrt{3}-1)$

3 0

3 years ago

Please help. I'm stuck.

Bezzdna [24]

The root $\sqrt{10}$ can be converted into the power $10^{ \frac{1}{2} }$ . Therefore we can rewrite the problem as $(10^{ \frac{1}{2} } )^ {\frac{3}{4} x}$ and then follow the exponent rules about a power to a power, multiplying 1/2 and 3/4 together.

Thus the problem becomes $10^{\frac{3}{8}x}$ , which then can be turned into $\sqrt[8]{10} ^{3x}$ , making the last option our answer.

4 0

3 years ago

if a taxi charges $3.50 for the first on-fifth of a mile, then $0.55 cents for each additional one-fifth mile, how far can one t

34kurt

Let's forget for the tie being the cost ($3.5)of the 1st fifth of a mile:

Taxi charge excluding $3.5, is $13.95 - $3.5 = $10.45.

If each of the 5th (1/5) of a mile costs $0.55, then with $10.45 we can drive:
10.45/0.55 = 19 fifth of a mile. Add to that the 1st fifth = 20 fifth of a mile
20 fifth = 20 x 1/5 = 4 miles (answer)

7 0

3 years ago