All categories

3 years ago

A line that includes the point (-3,-4) and (-4,f ) has a slope of 6. What is the value of f?

Mathematics

1 answer:

Eduardwww [97]3 years ago

8 0

Answer:

f = -10

( -3, -4) ( - 4 , -10)

Step-by-step explanation:

Formula for slope

m =( y_2 - y_1)/(x _2 - x _1)

m = 6

6 = (y_2 - y_1) / (x _2 - x_1)

Substitute the points

( -3 , -4) ( -4 , f)

x_1 = -3

y_1 = -4

x_2 = -4

y_2 = f

Insert the values into

6 = (y_2 - y_1) / (x_2 - x_1)

6 = (f - (-4))/ ( -4 - (-3)

6 = ( f + 4)/ ( -4 + 3)

Cross multiply

6 ( -4 + 3) = f + 4

6 ( -1) = f + 4

-6 = f + 4

-6 - 4 = f

f = -6 - 4

f = -10

( -3 , -4) ( -3 , f)

The value of f is -10

( -3 , -4) ( -3 , -10)

You might be interested in

Find the equation of the line with the giving point and slope: (4,-3), m= -1

kondaur [170]

Y+3=-x+4
y=-x+4-3
y=-x+1

8 0

3 years ago

Sam makes about 79% of his free throws. he shoots 60 free throws. about how manywill he make?

nataly862011 [7]

Hey You!

60 * 79% = 47.4

You can solve it by:

(60 ÷ 100 × 79 = 47.4)

Sam will make 47.4 of his throws.

5 0

2 years ago

Read 2 more answers

A person bought some cosmetics from wholesale market at the rate of Rs 360 per dozen he sells it at Rs 80 a pair find the gain p

marusya05 [52]

Answer:

33.33%

Step-by-step explanation:

We need to calculate the unit selling price and cost of each cosmetics.

If a person bought some cosmetics from wholesale market at the rate of Rs 360 per dozen., then for 1 cosmetics, we will say;

x = 1 cosmetic

since 360 = 12 cosmetic

cross multiply

12x = 360

x = 360/12

x = 30

Hence the unit cost price of the cosmetics will be Rs. 30

Similarly, if he sells it at Rs 80 a pair, then he sold one cosmetic at 80/2 = Rs. 40 (a pair is 2 cosmetics)

Selling price per unit = Rs. 40

Cost price per unit = Rs. 30

percent gain = SP-CP/CP * 100%

percent gain = 40-30/30 * 100

percent gain = 10/30 * 100

percent gain = 100/3

percent gain = 33.33%

Hence the percentage gain is 33.33%

5 0

3 years ago

Solve the following equation for x 10=2-4(ax-3)

likoan [24]

Answer:

$\large\boxed{x=\dfrac{1}{a}}$

Step-by-step explanation:

$2-4(ax-3)=10\qquad\text{subtract 2 from both sides}\\\\-4(ax-3)=8\qquad\text{divide both sides by (-4)}\\\\\dfrac{-4(ax-3)}{-4}=\dfrac{8}{-4}\\\\ax-3=-2\qquad\text{add 3 to both sides}\\\\ax-3+3=-2+3\\\\ax=1\qquad\text{divide both sides by}\ a\neq0\\\\x=\dfrac{1}{a}$

7 0

2 years ago

5000 for 5 years at 3.6% compounded monthly

Aleksandr [31]

Hello!

The sum at 5 years will be 8600.

Hope this helped! Need more help? Message me!

5 0

3 years ago