Liam calculated the slope of line AC between points A and B. Olivia calculated the slope of line AC between points B and C. Both Liam and Olivia drew triangles, as shown below, to calculate the slopes: A graph shows numbers from 0 to 27 on the x axis at increments of 3 and the numbers 0 to 6 on the y axis at increments of 1. A line AC is drawn that joins the ordered pairs 0, 0 and 27, 6.The ordered pair 9, 2 is labeled as B. A right triangle is drawn with AB as hypotenuse and height 2 units. Another right triangle is drawn with BC as the hypotenuse and height 4 units.

Which statement is correct about the slopes calculated by Liam and Olivia if both calculated the slopes accurately?

Liam calculated the slope as 2 over 9 and Olivia calculated it as9 over 2.
Liam calculated the slope as 9 over 2 and Olivia calculated it as2 over 9.
Both calculated the slope as 2 over 9.
Both calculated the slope as 9 over 2.

Answers

Answer 1

Answer: Liam calculated the slope of line AC between points A(0,0) and B(9,2):
m=(9-0)/(2-0) = 9/2
Olivia calculated the slope of line AC between points B(9,2) and C(27,6):
m=(27-9)/(6-2)=18/4=9/2
Answer: Both calculated the slope 9 over 2.

Answer 2

Answer:

The correct statement about the slopes they both calculated is: D. Both calculated the slope as 9 over 2.

How to Calculate Slope of a Line?

Slope = rise/run = change in y / change in x

Slope of line AC calculated by Olivia by Liam = (9-0)/(2-0)

= 9/2

Slope of line AC calculated by Olivia = (27-9)/(6-2)

= =18/4

= 9/2

The true statement about the slopes calculated would be: D. Both calculated the slope as 9 over 2.

Learn more about slope on:

brainly.com/question/13861479

#SPJ5

Related Questions

Isabella is solving the equation 4x2 = 13x – 3 with the quadratic formula.* What values should she use for a, b, and c?
Jeff is going to cut this shape out of a piece of paper. He will fold the paper on the dotted lines and connect all the edges. What solid will Jeff have when he is done?
What does the product of any whole-number factor multiplied by 100 always have ? Explain
3×4 what is the answer
55% of the 400 students at a school went to the game.Select true or falseA. 55 students went to the game.B. 180 students did not go to the game.C. More than half the students went to the game.

What is the measure of the central angle of a circle with radius 5 m that intercepts a 2 m arc round your answer to the hundredths place use pie=3.14

Answers

the arc is like the circumference, but only a fraction of it (like the crust of a pizza slice)

ok so find what fraction of the circumference that arc is
C=2pir
r=5
c=2pi5
c=10pi

2 out of 10pi=2/10pi=1/5pi

whole circle=360
1/5pi of 360=360/5pi=72/pi=72/3.14=22.9299
round
22.93 degrees

Answer:

22.93

Step-by-step explanation:

The number of girls at middle school Cyber summer camp was six more than twice the number of boys. The total of 156 middle school at the camp. How to use the 5-d process? To find the number of boys and girls at the camp.

Answers

girls: 81
boys: 75

4x +6 = 156
4x = 150
x = 37.5
2x = 75

girls: 75 + 6
boys: x

One question I need help with, I would really appreciate the help.

Answers

At first, she had +2y in the upper and -5y in the lower.

She multiplied the upper by 5 . Then she had +10y in the upper.

She should multiply the lower by 2 . Then she'll have -10y
there. She'll be able to add the two equations, and the 'y's will
go away. She'll be left with a single equation with only 'x' in it,
and she can solve that one for the value of 'x'.

Evaluate the summation of 25 times 0.3 to the n plus 1 power, from n equals 2 to 10..

Answers

Answer:

$\sum_(2)^(10)25(0.3)^(n+1)=0.9642375$

Step-by-step explanation:

We have to evaluate the expression:

$\sum_(2)^(10)25(0.3)^(n+1)$

i.e. it could also be written as:

$25\sum_(2)^(10)(0.3)^(n+1)$

i.e. we need to evaluate:

$25[(0.3)^3+(0.3)^4+(0.3)^5+(0.3)^6+(0.3)^7+(0.3)^8+(0.3)^9+(0.3)^(10)+(0.3)^(11)]$

Hence, this could be written as:

$=25* (0.3)^3[1+0.3^1+0.3^2+0.3^3+0.3^4+0.3^5+0.3^6+0.3^7+0.3^8]$

Now, the series inside the parenthesis is a geometric series with first term as 1 and common ration as 0.3.

Hence, we could apply the summation of finite geometric series and get the answer.

We know that the sum of geometric series with n terms and common ratio less than 1 is calculated as:

$S_n=a* ((1-r^n)/(1-r))$

Here a=1 and r=0.3

Hence the sum of geometric series is:

$S_9=1* ((1-0.3^9)/(1-0.3))\n\nS_9=1.4285$

Hence, the final evaluation is:

$=25* (0.3)^3* 1.4285\n\n=0.9642375$

Hence,

$\sum_(2)^(10)25(0.3)^(n+1)=0.9642375$

We are asked to evaluate the summation of 25 times 0.3 to the n plus 1 power, from n equals 2 to 10. In this case, we use a calculator with summation powers so as to accurately get the answer. Using a calculator, the asnwer is equal to 0.9643.

If 95% of the students are present in a school and the number of absent students is 25, find the total number of students in the school? (A) 500 (B) 400 (C) 600 (D) 450

Answers

Answer: Option A: 500.

Step-by-step explanation:

If 95% of the students are present in a school, then the number of absent students is 5% of the total number of students. We are given that the number of absent students is 25, so we can set up an equation:

0.05x = 25

Solving for x, we get:

x = 25 / 0.05 = 500

Therefore, the total number of students in the school is 500.

Therefore, the correct answer is Option A: 500.

Please let me know if there’s anything else I can help you with!

Submit your work legible (ifSwill and answerin a webmail to me. This is a total of 35 points. Itbe a portfolio gradyou will have to webmail me this!Complete the following problems.1. Open Response: Solve each problem below. Solve for the missing side, Show your workGive both an exact answer and Rn answer in your solutions.

Answers

ok so

for a right triangle with legs legnth a and b and hypotonuse c
a^2+b^2=c^2
remember
the hypotonuse is the side oposite the right angle

you have
13 and 17 and x
17=hypotonuse
13 ad x are legs
13^2+x^2=17^2
169+x^2=289
minus 169 boh sides
x^2=120
sqrt both sides
x=2√30
aprox
10.9545 units

second one
legs are 5x and x
hypotonsue is 20
(5x)^2+x^2=20^2
25x^2+x^2=400
26x^2=400
divide both sides by 26
x^2=(400/26)
sqrt both sides
x=20/(√26)
aprox
x=3.92232 units
times 5 to see other leg
19.616 units

Other Questions

The measures of the angles in a quadrilateral are represented by x, 2x, 3x, and 3x.Write an equation that would allow you to solve for the value of x.Solve for the value of x

(will give brainliest)a hiker, whose eye is 1.6 meters above ground, stands 50 meters from the base of connecting her eye and the top of the cliff and a horizontal line is 58°. draw a diagram representing the situation and find the height of the cliff

PLEASE HELP!!!!! 15 PTSExplain how the Quotient of Powers was used to simplify this expression. (2 points) 2^5/8 = 2^2 By finding the quotient of the bases to be,1/4 and cancelling common factors By finding the quotient of the bases to be, 1/4 and simplifying the expression By simplifying 8 to 2^3 to make both powers base two, and subtracting the exponents By simplifying 8 to 2^3 to make both powers base two, and adding the exponents

Factorise p^-6p+8Explanation would be helpful too. Thank you so much.