All categories

3 years ago

There is a line that includes the point (-1, 8) and has a slope of -9. What is its equation in

Mathematics

1 answer:

Maru [420]3 years ago

7 0

The equation is y=-9x-1

Hope this helps!

You might be interested in

1/5 divided by (6 x 4)

Naily [24]

Answer:

1/120

Step-by-step explanation:

(1/5) / (6 * 4)

First simplify:

(1/5) / 24

Then, multiply be the reciprocal of 24 (Skip, Flip, Multiply):

$\frac{1}{5} (\frac{1}{24})$

and you get:

1 / (5 * 24)

1/120

3 0

2 years ago

A) What fraction of a day is 8 hours?

Scrat [10]

Answer:

a. 8/24 or 1/3 a day

b. 45/60 or 3/4 a hour

c. 1/7 of a week

d. 4/12 or 1/3 a year

Step-by-step explanation:

Simply divide by the conversion you want to set.

60 seconds is 1 hour

24 hours is 1 day

7 days is 1 week

3-4 weeks per month (depending on the month and year)

12 months a year

3 0

3 years ago

onsider the equation 0.5 times e4z =13 solve the equation for z. express the solution as a logarithm in base e

olga_2 [115]

Answer:

$z=\frac{ln(26)}{4}$

Step-by-step explanation:

The given equation is:

$0.5\,e^{4z}=13$

so, we first isolate the exponential form that contains the unknown "z" in the exponent, by dividing both sides by 0.5:

$0.5\,e^{4z}=13\\e^{4z}=\frac{13}{0.5}\\e^{4z}=26$

Now we bring the exponent down by applying the natural log function on both sides, and then solve for "z":

$e^{4z}=26\\ln(e^{4z})=ln(26)\\4\,z=ln(26)\\z=\frac{ln(26)}{4}$

5 0

3 years ago

One case of books weighs 35 pounds. One case of magazines weighs 23 pounds.A book store wants to ship 72 cases of books and 94 c

RSB [31]

Shipment = 72 cases of books + 94 cases of magazines
1 case of books = 35 pounds
1 case of magazines = 23 pounds

Shipment = 72 × 35 + 94 × 23 pounds

72 × 35 = 2520
94 × 23 = 2162

Shipment = 2520 + 2162 pounds

Shipment = 4682 pounds

6 0

3 years ago

Perimeter of a rectangle is 15x+17y if the length is 7/2x+7y then find the width of the rectangle

bogdanovich [222]

The perimeter of a rectangle is given by the formula,

$P=2l+2w$

We substitute,

$P=15x+17y$

and

$l=\frac{7}{2}x+7y$

into the above formula to obtain the expression,

$15x+17y=2(\frac{7}{2}x+7y)+2w$

$15x+17y=7x+14y+2w$

We now group the x and y terms on the Left Hand Side of the equation to get.

$15x-7x+17y-14y=2w$

$8x+7y=2w$

We now divide through by 2 to get,

$4x+\frac{7}{2}y=w$

Therefore the width of the rectangle is

$4x+\frac{7}{2}y$

8 0

3 years ago