It takes Susana 10 seconds to complete 5 math
problems. How many math facts can she complete
in 35 seconds?

Answer:

for every 5 units to the right, there is 1 unit up

the slope is y = 1/5

Given:

Line a is perpendicular to line b .

Line a passes through the points (1,-8) and (9,-12) .

Line b passes through the point (-8, -16).

To find:

The equation of b.

Solution:

Line a passes through the points (1,-8) and (9,-12) . So, slope of line a is

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

[tex]m_a=\dfrac{-12-(-8)}{9-1}[/tex]

[tex]m_a=\dfrac{-12+8}{8}[/tex]

[tex]m_a=\dfrac{-4}{8}[/tex]

[tex]m_a=-\dfrac{1}{2}[/tex]

Product of slopes of two perpendicular lines is -1.

[tex]m_a\times a_b=-1[/tex]

[tex]-\dfrac{1}{2}\times a_b=-1[/tex]

[tex]b=2[/tex]

Slope of line b is 2.

If a line passing through a point [tex](x_1,y_1)[/tex] with slope m, then equation of line is

[tex]y-y_1=m(x-x_1)[/tex]

Line b passing through (-8,-16) with slope 2. So, equation of line b is

[tex]y-(-16)=2(x-(-8))[/tex]

[tex]y+16=2(x+8)[/tex]

[tex]y+16=2x+16[/tex]

Subtract 16  from both sides.

[tex]y=2x[/tex]

Therefore, the equation of line b is [tex]y=2x[/tex].

Answer:

2 hippos

Step-by-step explanation:

Answer:

For every elephant, there are 2 hippos.

Answer:

2 electrons

Step-by-step explanation:

An atom is neutral if it has no charge. That means the positive and negative charge balance each other out.

There are two protons, so that is a charge of +2. To make the charge 0, there needs to be a charge of -2. -2= 2 electrons.

Answer:

Answer is 2

Step-by-step explanation:

Answer: Mary will be 11, and yes you can

Step-by-step explanation: hector will be 16 in 8 years so you just add the 8 on to the 3

Answer:

Sowy but try Mathwa y

Step-by-step explanation:

Answer:

a = 12

Step-by-step explanation:

Given that a is inversely proportional to b then the equation relating them is

a = [tex]\frac{k}{b}[/tex] ← k is the comstant of proportion

To find k use the condition when a = 4, b = 36, then

4 = [tex]\frac{k}{36}[/tex] ( multiply both sides by 36 )

144 = k

a = [tex]\frac{144}{b}[/tex] ← equation of proportion

When b = a , then

a = [tex]\frac{144}{a}[/tex] ( multiply both sides by a )

a² = 144 ( take square root of both sides )

a = ± [tex]\sqrt{144}[/tex] = ± 12

However a is a positive number, thus a = 12

Answer:

It's 0.142857

Step-by-step explanation:

Answer:

your answer is d.1/7

Step-by-step explanation:

all you have to do is subtract 5-4 which is 1 then add 7 as the denominator

Answer:

B.

[tex](x + 2) ^{3} - 9 [/tex]

Answer: The Slope is 20

Step-by-step explanation:

M A T H W A Y . C o M

9514 1404 393

Answer:

  (-6, -4)

Step-by-step explanation:

If you're going to use technology to answer your questions, you may as well use appropriate technology: a graphing calculator. It shows the solution to the system is the ordered pair (-6, -4).

__

The first of the given equations can be solved for y, then that used to substitute for y in the second equation.

  y = 5x +26

  2x -7(5x +26) = 16

  2x -35x -182 = 16

  -198 = 33x . . . . . . . . add 33x-16

  -6 = x . . . . . . . . . . . . divide by 33

  y = 5(-6) +26 = -4 . . . find y

The solution is (x, y) = (-6, -4).

Answer:

They often have more than one solution.

Answer:

Step-by-step explanation:

Quadratic equations are equations that when rearranged using the 5 operations can yield a polynomial of degree 2 on one side of the equation and 0 on the other. There are 3 commonly taught methods for solving quadratic equations. These methods are factoring, completing the square, and the quadratic formula. These functions are most commonly used to model projectiles, disregarding air resistance.

When using the factoring method one attempts to write a degree 2 polynomial as the product of two degree 1 polynomials. This method works because if we multiply two degree one polynomials together we find  

For example: When factoring , we want to find two number a, b whose product is 6 and sum to 5. The values of a and b we are looking for are 2 and 3.

The method of completing the square centers around using the five operations to replace the original equation with an equivalent equation of the form  by taking advantage of the fact that

The absolute value function takes the value of a number, regardless of whether it is positive or negative. Some problems that the absolute value is useful for modeling include an object bouncing on the ground.

For example, , since we do not care about the negative sign.

Example: Solve  

Solution: Since the absolute value does not care about whether a number is positive or negative, if  then  or . Then we can solve each equation individually to find that x = 1 or 5.

Answer:

44%

Step-by-step explanation:

Answer:

36

Step-by-step explanation:

Answer:

Step-by-step explanation:

The idea hear is to find the least common multiples of 15 and 24

Given that they separated at exactly 1:00pm

the multiples are

15= 15,30,45,60,75,90,105,120

24= 24, 48,72,96,120

the multiples common is 120

Therefore they will meet in 120minute, which is 2 hours time \

hence the time will be 3:00pm

Answer:

x = 3

Step-by-step explanation:

First lets add 4x + x so that we can get one x value on that side of the equation.

4x + x + 2 = 10x - 13

5x + 2 = 10x - 13

Then we can solve for x from there

5x + 2 = 10x - 13

-5x + 2 = -13   [Subtract 10x from both sides of the equation]

-5x = -15   [Subtract 2 from both sides of the equation]

-x = -3   [Simplify]

x = 3   [Simplify]

Hope this helps! I apologize if I got this incorrect

Answer:  x = 3

Steps: 4x + x + 2 = 10x - 13

Combine like terms: 5x + 2 = 10x - 13

Subtract 2 from both sides: 5x + 2 - 2 = 10x - 13 - 2

Simplify: 5x = 10x - 15

Subtract 10x from both sides: 5x - 10x = 10x - 15 - 10x

Simplify: -5x = -15

Divide both sides by -5:  -5x ÷ -5  =  -15 ÷ -5

Simplify: x = 3

Plz mark brainliest:)

Answer:

x = 3, y = 6, z = 4

Step-by-step explanation:

If lines s, t, and u are perpendicular bisectors of the sides of APGH and meet at J, then JG = JH = JF = HI

Given

JG - 2x+ 2

JH - 2y-4

JF-8 a

HI - 3z-3,

Hence 2x+2 = 2y-4 = 3z-3 = 8

This means that

2x+2 = 8

2x = 8-2

2x = 6

x = 3

Also, 2y-4 = 8

2y = 8+4

2y = 12

y = 6

And 3z-3 = 8

3z = 8+3

3z = 11

z = 11/3

z = 3.67 ≈ 4

Hence x = 3, y = 6,z = 4

Answer: TIME

Step-by-step explanation: I cant see the formula, but I think the one you are using is Interest = (principal)(interest rate)(time). You have the interest rate and principal, but you need the amount of time to figure out how much he has earned.

Answer:

its yes

I'm fighting ransome cuz I need at least 20 characters

Answer:

61

Step-by-step explanation:

46 then you have to add another 15 feet for underground and you get 61 because it is asking form the roof to the basement floor

hope this helps  

Answer:

Step-by-step explanation:

y= money earned , x is the number of hours

k is the constant=y/x=12

b- if she worked 18 hours:

y=12(18)

c- if she earned 330 dollars:

330=12x

x=330/12

(1)

(3)

(4)

I think im sorry if im wrong too

Answer:

there is mutable ways to cure depression rather it would be therapy or antidepressants if you need help find a therapist or cirotherapist that can solve your pain and can prescribe medication

Answer:

0.6778 to 4 dec. places.

Step-by-step explanation:

That is  387 / (184+387)

= 387 / 571

= 0.677758

Answer:

[tex]y=x^{2} +8x+12[/tex]  is the quadratic function.

Step-by-step explanation:

We know that -6 and -2 are the zeros. So, they are both equal to x.

x = -6 and x = -2

Add them to x.

(x + 6) (x + 2)

Now, multiply the two binomials together.

[tex]x^{2} +6x+8x+12[/tex]

Combine like terms.

[tex]y=x^{2} +8x+12[/tex]

[tex]y=x^{2} +8x+12[/tex] is the answer.