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bazaltina [42]
3 years ago
15

Using the point-slope formula, what is the equation of the line that passes through the points (1,5) and (0, 0)?

Mathematics
1 answer:
DerKrebs [107]3 years ago
7 0

Answer:

y =5x

Step-by-step explanation:

y_{1}-y_{2}  = m(x_{1} - x_{2} )

(5 - 0) = m(1 - 0)

5 = m(1)

5 = m

y_{1}-y_{2}  = m(x_{1} - x_{2} )

y - 5 = 5(x - 1)

y - 5 = 5x - 5

y = 5x -5 + 5

y = 5x

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Y= -8x + 10/9 what is the y intercept
4vir4ik [10]

Answer:

10/9

Step-by-step explanation:

This equation is in slope-intercept form, this is referring to the y-intercept. Slope-intercept is y=mx+b, where m is the slope and b is the y-intercept. Therefore, 10/9 is the intercept while -8 is the slope.

4 0
3 years ago
Sandy has 28 pencils and 72 erasers. She wants to make the greatest number of bags that have the same number of pencils and eras
aalyn [17]

Answer:

she can make a maximum of 4 bags.

peach bags containing 7 pencils and 18 erasers.

Step-by-step explanation:

find all the factors each numbers are divisible by:

28 => 1, 2, 4, 7, 14, 28

72 => 1, 2, 3, 4, 8, 9, 18, 24, 36, 72

choose the maximum common denominator.

7 0
3 years ago
Read 2 more answers
Simplify: sin^2xcos^2x-cos^2x
shtirl [24]

Answer:

-cos^4(x)

Step-by-step explanation:

Step 1: Use the Pythagorean identity : 1=cos^2(x) + sin^2(x)

1-sin^2(x) = cos^2(x)

-1+sin^2(x) = -cos^2(x)

cos^2(x) (-cos^2(x))

Step 2: Factor out common terms cos^2(x)

cos^2(x) (sin^2(x)-1)

Ans: -cos^4(x)

8 0
2 years ago
Olivia flips a two-sided counter and then spins a spinner with six equal-size sections labeled 1 through 6. One side of the coun
Novay_Z [31]

Answer:

12

Step-by-step explanation:

A 2 - sided counter ; (red, yellow)

A spinner (1,2,3,4,5,6)

Number of trials = 80

P(red and number > 3) :

P(red) = 1/2 ;

P(number >3) : numbers greater Than 3 = (4, 5, 6)

Hence, P(number <3) = 3 /6 = 1/2

Theoretical probability = 1/2 *1/2 = 1/4

Expected number of outcomes :

1/4 * number of trials

1/4 * 80 = 20

Experimental outcome :

Relative frequency = number of outcomes / number of trials

Relative frequency = 2/5

Hence,

2/5 = number of outcomes / 80

Cross multiply :

160 = number of outcomes * 5

Number of outcomes = 160 /5 = 32

Actual outcomes = 32

Difference between actual and expected :

32 - 20 = 12

7 0
3 years ago
How is multiplying and dividing numbers in scientific notation different from adding and subtracting numbers in scientific notat
cupoosta [38]

Answer:

multiple and divide are depending on the powers ( sometimes the numbers before the scientific n.)

If the power neg- , it's going down

like this 10^-5 = 1/10^5

If the power pos+ , it's the same idea but different in signs .

Adding and subtracting are depending on numbers ( If the scientific n. is the same number) .

for example:

3x10^5 + 4x10^5 = (3+4)x10^5 = 7x10^5

6 0
3 years ago
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