All categories

3 years ago

Find the slope of the line passing through each of the following pairs of points: A(−7, a) and B(c, d)

Mathematics

1 answer:

Mrrafil [7]3 years ago

3 0

The formula of a slope:

$m=\dfrac{y_2-y_1}{x_2-x_1}$

We have the points A(-7, a) and B(c, d).

Substitute:

$m=\dfrac{d-a}{c-(-7)}=\dfrac{d-a}{c+7}$

Exception: c ≠ -7.

You might be interested in

2. 2(x+1.25) = 3.5

dangina [55]

Answer:

x = 0.5

Step-by-step explanation:

Given

2(x + 1.25) = 3.5 ← divide both sides by 2

x + 1.25 = 1.75 ( subtract 1.25 from both sides )

x = 0.5

8 0

3 years ago

Read 2 more answers

A tank containing 2.85 cube of oil how many bottles of 300 ml capacity can be filled out of it

Ronch [10]

Answer:

9,500 bottles.

Step-by-step explanation:

1 cubic meter = 1000000 milli liters

We can convert (2.85 cubic meter) to (milli liters) as

1 cubic meter = 1000000 milli liters

2.85 cubic meter = X milli liters

If we Cross multiply and find X, we have

X milli liters = [(2.85 cubic meter × 1000000 milli liters) ] / 1 cubic meter

X= 2850,000 milli liters

Then (2.85 cubic meter) will be equal to ( 2850,000 milli liters)

Capacity of the Bottle = 300 ml

Number of bottles that 300 ml capacity can be filled out of it =

(2850,000 milli liters) / (300 ml)

= 9,500 bottles.

8 0

3 years ago

Write the equation for the hyperbola with foci (–12, 6), (6, 6) and vertices (–10, 6), (4, 6).

fomenos

Answer:

$\frac{(x--3)^2}{49} -\frac{(y-6)^2}{32}=1$

Step-by-step explanation:

The standard equation of a horizontal hyperbola with center (h,k) is

$\frac{(x-h)^2}{a^2}-\frac{(y-k)^2}{b^2}=1$

The given hyperbola has vertices at (–10, 6) and (4, 6).

The length of its major axis is $2a=|4--10|$ .

$\implies 2a=|14|$

$\implies 2a=14$

$\implies a=7$

The center is the midpoint of the vertices (–10, 6) and (4, 6).

The center is $(\frac{-10+4}{2},\frac{6+6}{2}=(-3,6)$

We need to use the relation $a^2+b^2=c^2$ to find $b^2$ .

The c-value is the distance from the center (-3,6) to one of the foci (6,6)

$c=|6--3|=9$

$\implies 7^2+b^2=9^2$

$\implies b^2=9^2-7^2$

$\implies b^2=81-49$

$\implies b^2=32$

We substitute these values into the standard equation of the hyperbola to obtain:

$\frac{(x--3)^2}{7^2} - \frac{(y-6)^2}{32}=1$

$\frac{(x+3)^2}{49} -\frac{(y-6)^2}{32}=1$

7 0

3 years ago

Ryan has 4 cups of grape juice and Kelsey has 7 cups of lemonade they want to combine what they have to make punch how many 1/2

svp [43]

Answer:

5.5 servings

Step-by-step explanation:

4+7=11

11/2=5.5 sevings

5 0

3 years ago

PLEASEEEE HELP MEEE I"LL GIVE U BRAINLEST!!

DedPeter [7]

Answer:

m=13

Step-by-step explanation:

156 divided by 12mph = 13 miles

6 0

2 years ago