All categories

3 years ago

Determine the slope of the line through the given points. If the slope is undefined, so state. (3,2) and (6,11)

Mathematics

2 answers:

agasfer [191]3 years ago

6 0

Answer:

The slope is 3

Step-by-step explanation:

We can find the slope by using

m = (y2-y1)/(x2-x1)

= (11 -2)/(6-3)

= 9/3

= 3

beks73 [17]3 years ago

5 0

Answer:

y = 3x – 7

Step-by-step explanation:

$\frac{y_{2} }{x_{2} } -\frac{y_{1} }{x_{1} }$

$\frac{11}{6} -\frac{2}{3} =$

$\frac{9}{3} =$

The y-intercept of the slope is -7 if you graph it. So from the equation: y = mx + b, we get y = 3x - 7. (m is slope, b is y-intercept)

You might be interested in

The state of Georgia has roughly 10⁷ human residents. Each human has roughly 10¹³ bacteria cells in his or her digestive tract.

crimeas [40]

Answer:

10^20

Step-by-step explanation:

So in this word problem, we have to multiply 10^13 bacteria cells on a single person by the 10^7 of people.

Always remember this, when you have exponenets with the same bases, and the question asks for multiplying and dividing exponents, you just need to add and subtract the exponent.

So in this case, we will just add since it calls for multipactation.

So we need to solve:

10^13+7

This will just equal:

<u>10^20 power</u>

Hope this helps ;)

6 0

3 years ago

Peter is writing a number in scientific notation.The number is grater that ten million and less that one hundred million.Which e

OLga [1]

Answer:

$M = a \times 10^7$ where 1 < a ≤ 9

The EXPONENT USED BY PETER is 7 in all the possible cases.

Step-by-step explanation:

Let us assume the needed number is M.

Also, given:

The needed number is GREATER than 10 Million.

⇒ M > 10 Million

⇒ M > 10,000,000

⇒ M > $1 \times 10^7$ ...... (1)

The needed number is SMALLER than 100 Million.

⇒ M < 100 Million

⇒ M < 100,000,000

⇒ M < $1 \times 10^8$ ...... (2)

Comparing (1) and (2) we can see that M can have more than 7 zeroes after 1 but LESS than 8 zeroes after 1.

So, the possible values of M can be:

$M = a \times 10^7$ where 1 < a ≤ 9

So, the EXPONENT USED BY PETER is 7 in all the possible cases.

5 0

3 years ago

√₂

snow_lady [41]

Answer:

$2000 was invested at 5% and $5000 was invested at 8%.

Step-by-step explanation:

Assuming the interest is simple interest.

<u>Simple Interest Formula</u>

I = Prt

where:

I = interest earned.
P = principal invested.
r = interest rate (in decimal form).
t = time (in years).

Given:

Total P = $7000
P₁ = principal invested at 5%
P₂ = principal invested at 8%
Total interest = $500
r₁ = 5% = 0.05
r₂ = 8% = 0.08
t = 1 year

Create two equations from the given information:

$\textsf{Equation 1}: \quad \sf P_1+P_2=7000$

$\textsf{Equation 2}: \quad \sf P_1r_1t+P_2r_2t=I\implies 0.05P_1+0.08P_2=500$

Rewrite Equation 1 to make P₁ the subject:

$\implies \sf P_1=7000-P_2$

Substitute this into Equation 2 and solve for P₂:

$\implies \sf 0.05(7000-P_2)+0.08P_2=500$

$\implies \sf 350-0.05P_2+0.08P_2=500$

$\implies \sf 0.03P_2=150$

$\implies \sf P_2=\dfrac{150}{0.03}$

$\implies \sf P_2=5000$

Substitute the found value of P₂ into Equation 1 and solve for P₁:

$\implies \sf P_1+5000=7000$

$\implies \sf P_1=7000-5000$

$\implies \sf P_1 = 2000$

$2000 was invested at 5% and $5000 was invested at 8%.

Learn more about simple interest here:

brainly.com/question/27743947

brainly.com/question/28350785

5 0

1 year ago

marking brainiiest Emery makes $15 per hour in addition to 2.25% commission on her sales each week. If her sales were $3,200 las

Zielflug [23.3K]

Answer:

Step-by-step explanation:

Emery is paid 15 dollars an hour and she worked 38 hours

15*38=570 dollars just from the hourly wage

the commission is 2.25% and her sales were 3,200 dollars

(3200*2.25)/100=72

total=570+72=642

3 0

3 years ago

Which of the following segments is a radius of 0?

erastovalidia [21]

Not sure i remember this but i think radius is like half of the diameter. it’s a line from the center, to a side of the circle. in this situation, line RO would be representing the radius.

answer: D, line RO
hope this helps :)

8 0

2 years ago

Read 2 more answers

Determine the slope of the line through the given points. If the slope is​ undefined, so state. ​(3​,2​) and ​(6​,11​)

Determine the slope of the line through the given points. If the slope is undefined, so state. (3,2) and (6,11)