All categories

3 years ago

Use the given conditions to write an equation for the line in point-slope form and in slope-intercept form.

Mathematics

2 answers:

strojnjashka [21]3 years ago

3 0

Point-slope form is:

y - y = m(x - x)

Slope-intercept form is:

y = mx + b

First we need to find the slope. Perpendicular lines have opposite reciprocal slopes, so we need to flip the fraction and multiply by -1. The slope of the given line is 1/5, so the new slope will be -5.

Now put it in point-slope form.

y - (-3) = -5(x - 8)

y + 3 = -5(x - 8)

Now for slope-intercept form, solve for y.

y + 3 = -5x + 40

y = -5x + 37

Svetllana [295]3 years ago

3 0

Answer and working out are in the picture
The slope intercept form is y=-5x+37 (sorry, I didn't specify in the picture)

You might be interested in

When solving an equation, Gabrielle's first step is shown below. Which property

Rashid [163]

Answer:

i think 2. division property of equality

distributive property of multiplication over addition

4 0

2 years ago

The base of a cone can be

Brut [27]

The base of a cone is something circular, like a circle or an ellipse.
The rest of the options (square, triangle, and pentagon) are all based of pyramids, not cones. Cones have to have a circular base because otherwise they'd be pyramids.

6 0

3 years ago

Read 2 more answers

Can someone help me with these problems? The majority of them I have answers but I don't understand them. Thanks!

zaharov [31]

Question 1:

The area of the triangle is $9\frac{5}{8}$ cm², if you want it rounded to the nearest whole number it will be 10 cm²

Question 2:

The area of the parallelogram is 304.5 m²

Question 3:

The ratio of grilled chicken salads sold to the total number of lunches sold is 1 : 3 in the simplest form

Question 4:

The ratio of odd to even digits in the following number: 7,208,631

is 3 : 4

Question 5:

5 tons is equal to 10,000 pounds

Question 6:

A table measures 3 feet across is 36 inches across

Step-by-step explanation:

Question 1:

The formula of the area of a triangle is $A=\frac{1}{2}bh$ , where

b is the base of the triangle
h is the height of the triangle

∵ The base of the triangle = $5\frac{1}{2}$ cm

∵ The height of the triangle = $3\frac{1}{2}$ cm

- Change the mixed numbers to improper fractions

∵ $5\frac{1}{2}$ = $\frac{(5*2)+1}{2}=\frac{11}{2}$

∵ $3\frac{1}{2}$ = $\frac{(3*2)+1}{2}=\frac{7}{2}$

∴ $A=\frac{1}{2}(\frac{11}{2})(\frac{7}{2})=\frac{77}{8}$ cm²

- To change the improper fraction to mixed number divide 77 by 8

∵ 77 ÷ 8 = 9 and remainder 5 (8 × 9 = 72 , 77 - 72 = 5)

∴ 77 ÷ 8 = $9\frac{5}{8}$

∴ $A=9\frac{5}{8}$ cm²

The area of the triangle is $9\frac{5}{8}$ cm²

If you want to round it to the nearest whole number the area will

be 10 cm²

Question 2:

The formula of the area of a parallelogram is A = b h , where

b is the base of the parallelogram
h is the height of this base of the parallelogram

∵ The base of the parallelogram = 14.5 m

∵ Its height = 21 m

∵ A = b h

∴ A = 14.5 × 21 = 304.5 m²

The area of the parallelogram is 304.5 m²

Question 3:

∵ The cafeteria sold 200 grilled cheese sandwiches, 100 tacos, and

150 grilled chicken salads

∴ The cafeteria sold = 200 + 100 + 150 = 450 lunches

- To find the ratio between the grilled chicken salads sold to the total

number of lunches sold divide them and simplify the answer to the

lowest term

→ G.C.S : Lunches

→ 150 : 450 ⇒ divide both by 10

→ 15 : 45 ⇒ divide both by 5

→ 3 : 9 ⇒ divide both by 3

→ 1 : 3

The ratio of grilled chicken salads sold to the total number of lunches sold is 1 : 3 in the simplest form

Question 4:

The even numbers are the numbers whose one digit is 0 , 2 , 4 , 6 , 8

The odd numbers are the numbers whose one digit is 1 , 3 , 5 , 7 , 9

∵ The number is 7,208,631

∵ The odd digits are 7 , 3 , 1

∴ There are 3 odd digits

∵ The even numbers are 2 , 0 , 8 , 6

∴ there are 4 even digits

∴ The ratio of odd to even digits is 3 : 4

The ratio of odd to even digits in the following number: 7,208,631

is 3 : 4

Question 5:

∵ One ton is equal to 2000 pounds

∵ There are 5 tons

→ Ton : Pound

→ 1 : 2000

→ 5 : x

Use the cross multiplication

∵ 1 × x = 5 × 2000

∴ x = 10,000 pounds

5 tons is equal to 10,000 pounds

Question 6:

∵ A table measures 3 feet across

∵ 1 foot = 12 inches

∴ 3 × 12 = 36 inches

A table measures 3 feet across is 36 inches across

Learn more:

You can learn more about ratio in brainly.com/question/10781917

#LearnwithBrainly

6 0

3 years ago

Pratap Puri rowed 14 miles down a river in 2 hours, but the return trip took him 3 and one half hours. Find the rate Pratap can

SOVA2 [1]

speed of current is 1.5 mi/hr

Answer:

let the rate in still water be x and rate of the current be y.

speed down the river is:

speed=distance/time

speed=14/2=7 mi/h

speed up the river is:

speed=(14)/(3.5)=4 mi/hr

thus total speed downstream and upstream will be:

x+y=7...i

x-y=4.......ii

adding the above equations i and ii we get:

2x=11

x=5.5 mi/hr

thus

y=5-5.5=1.5 mi/r

thus the speed in still waters is 5.5 mi/hr

speed of current is 1.5 mi/hr

7 0

2 years ago

Carlos has 10 more dollars and Jeremy Jeremy has $5 more than the show all together they have $80 what part of 80 does Michelle

blsea [12.9K]

She would have 60 dollars.

5 0

3 years ago

Use the given conditions to write an equation for the line in​ point-slope form and in​ slope-intercept form.

Use the given conditions to write an equation for the line in point-slope form and in slope-intercept form.