Find the measures of the sides of triangle JKL, then classify it by its sides J(-3, 2), K(2,6), L(8, -1)
Given:
The vertices of the triangle JKL are J(-3, 2), K(2,6), L(8, -1).
To find:
The measures of the sides of triangle JKL and classify it by its sides.
Solution:
Distance formula:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Using distance formula, we get
[tex]JK=\sqrt{(2-(-3))^2+(6-2)^2}[/tex]
[tex]JK=\sqrt{(2+3)^2+(4)^2}[/tex]
[tex]JK=\sqrt{(5)^2+(4)^2}[/tex]
[tex]JK=\sqrt{25+16}[/tex]
[tex]JK=\sqrt{41}[/tex]
Similarly,
[tex]KL=\sqrt{\left(8-2\right)^2+\left(-1-6\right)^2}=\sqrt{85}[/tex]
[tex]JL=\sqrt{\left(8-\left(-3\right)\right)^2+\left(-1-2\right)^2}=\sqrt{130}[/tex]
Now,
[tex]JK^2+KL^2=(\sqrt{41})^2+(\sqrt{85})^2[/tex]
[tex]JK^2+KL^2=41+85[/tex]
[tex]JK^2+KL^2=126[/tex]
[tex]JK^2+KL^2\neq JL^2[/tex]
Since, measure of all sides are different and sum of squares of two smaller sides is not equal to the square of largest side, therefore the triangle is scalene triangle.
please help me i need to turn this in
Answer:
d
Step-by-step explanation:
do this all the time
Overnight the temperature went from 39*F to -5*F. What is the difference in temperature?
Please help me it would be AMAZING if you can!!!!
Answer:
your answer will be (B)
Please help me and I’ll give you brainiest make sure to explain :)
Answer:
y = -2/3x -5
Step-by-step explanation:
First, let's fill in our equation of y = mx + b
(6, -9) is the coordinate we will be subsituting
If the equation that s to the one we are solving we must turn its slope into it's negative reciprocal, which would go from 3/2 to -2/3
Now let's substitute and solve
y = mx + b
(-9) = -2/3(6) + b
-9 = -4 +b
+4 +4
-5 = b
Now we create the equation
y = -2/3x -5
Help meee please!!!!!!!!!!!!!!!!
Answer:
i think it A
Step-by-step explanation:
What is a really good better buy question
Answer:
what?
Step-by-step explanation:
Answer: huh? lol
Step-by-step explanation:
1.does the table below represent s proportional relationship?_____ 2. if r is the constant of proportionality,what will be the equation y=rx for this relationship
Answer:
tyuiiiiiittghh gf dssddddddddd
hello i need your help againnnn
Answer: -3 :)
Step-by-step explanation:
helppp mee pleaseeeeeeeee
Answer: It's false.
I believe you would do (5-3) first.
Answer:
false
Step-by-step explanation:
what equation is equivalent to -12+(-4/5)+31
Answer: -12 + (4/5) + 31 = 18.2
slove each system of equations using graphing, substitution or elimination. y=2x-3 y=2x+3
y=2x-3
y=2x+3
Since the both expressions 2x-3 and 2x+3 are equal to y, set them equal to each other forming an equation in x.
2x-3=2x+3
Cancel equal terms on both sides of the equation
-3=3
The statement is false for any value of x and y , so there is no solution
What is the slope of the line through (–2. -6) and (2, 2)?
Answer:
slope is 2
Step-by-step explanation:
A man's annual salary is $45000. His tax free allowance total was $13000. He pays tax of 35% on his taxable income. The tax payable is?
450000- 13000= 32000
32000×(35/100) = 11200
20 points
Need help ASAP!!!!!!!
Answer:
I can't see the assignment question. It says there is nothing attached...
Step-by-step explanation:
The coach took a digital photo of the new cycling team bike. She sent a 4 cm-by-6 cm photo to each team
member.
1. If the photo were enlarged to 150% of its original size, what would be its new length (long side)?
9
2. Suppose you want to make a 2 cm-by-3 cm copy of the original photo.
What percent should you use?
50%
3. What will be the measurement for each angle in the smaller photo?
Answer:
1. 9 cm
2. 50%
3. Assuming the photo is a rectangle, the answer would be 90 degrees on every angle (in a dilation, angle measurements are congruent).
Step-by-step explanation:
1. The long side is clearly the 6 cm side. multiply it by 1.5x (150%) and you get 9.
2. 2 is 50% of 4 and 3 is 50% of 6.
3. Assuming the photo is a rectangle, the answer would be 90 degrees on every angle (in a dilation, angle measurements are congruent).
If 2a = 3b, and 4a - 7 = 2b + 9. what is the value of a?
Answer:
1.5
Step-by-step explanation:
Of the 15 students in Danielle's class, 5 went to the zoo and the rest went to the aquarium. What is the ratio of the number of students who went to the aquarium to the total number of students?
Answer:
15:20=3:4
Step-by-step explanation:
Please Hurry i need help.. it’s on a google form and if i don’t put the answers quick enough it’ll log me out.
Answer:
hiii, its B. 1/8. let me know if you need more help
9. What is the value to the solution for the system of equations y = -5X-9 and y = 2x + 5.
9514 1404 393
Answer:
(x, y) = (-2, 1)
Step-by-step explanation:
Equate the two expressions for y.
-5x -9 = 2x +5
-14 = 7x . . . . . . . .add 5x-5
-2 = x . . . . . . . . . divide by 7
Then ...
y = 2(-2) +5 = 1
The solution is (x, y) = (-2, 1).
In 2020, a town was recorded as having a population of 10,000 and is predicted to grow at 5% every year. What will be the population in 2035, to the nearest whole number? *
Answer:
20789
Step-by-step explanation:
The equation of exponential growth is y=A(1+r)^t
A=10,000
r (rate)=0.05 (5% as a decimal)
t (time)=15 (2035-2020=15)
y=10,000(1+0.05)^15
y=20789.2817
you can't have part of a person, so y=20789
I NEED HELP ASAP!!! IM BAD AT MATH
Vary the scale factor n from values less than 1 to values greater than 1. How do the points in the resulting images differ from the corresponding points on the preimage? Describe the general location of the points relative to the center of dilation. What happens to the logo of the sailboat as you vary the scale factor?
PLATO
Answer: For values of n < 1, all the points on the image move closer to the center of dilation and the logo shrinks. For values of n > 1, all the points on the image move farther from the center of dilation and the logo expands.
Step-by-step explanation: PLATO sample answer. hope it helps :)
Answer:
For values of n < 1, all the points on the image move closer to the center of dilation and the logo shrinks. For values of n > 1, all the points on the image move farther from the center of dilation and the logo expands.
Step-by-step explanation:
plato sample
The Sarsen Circle at Stonehenge has a circumference of 304.7 feet. What is the radius in feet of the Sarsen Circle?
Answer: r≈48.49ft
Step-by-step explanation:
hoped that help if so plz mark me brainlest =)
what is 7 to the power of -2 divided by 1
Answer:
-49
Step-by-step explanation:
Hope this helps
PLZZ MARK BRAINLIEST
Lianne is saving to buy a DVD player that costs 2 1\2 times her weekly allowance. If she spends 3\4 of her allowance on other things, how long will she take to save the money for the DVD player?
Answer:
She will take 10 weeks to save the money for the DVD player
Step-by-step explanation:
Let w = Lianne's weekly allowance.
The DVD player costs 2 1/2 times her weekly allowance, thus
DVD cost = 5/2w
She gets w every week but spends 3/4w on other things, thus the remaining money is
Weekly savings =w - 3/4w = 1/4w
To know the number of weeks needed, we divide the DVD cost by the weekly savings:
[tex]\displaystyle N = \frac{\frac{5}{2}}{\frac{1}{4}}[/tex]
Operating:
[tex]\displaystyle N = \frac{5}{2}*\frac{4}{1}[/tex]
N = 10
She will take 10 weeks to save the money for the DVD player
A movie theater sends out a coupon for 75% off the price of a ticket. Write an equation for the situation, where y is the price of the ticket with the coupon, and x is the original price of the ticket. Use pencil and paper. Draw a graph of the equation and explain why the line should only be in the first quadrant.
Answer:
x divided by 75% = y
Step-by-step explanation:
Answer:
0.25x
Step-by-step explanation:
Not what the guy on the top said.
Sulins savings is 75% of Meifens saving. if Sulin save $300, how much does Meifen save?
A) $225
B) $425
C) $325
9514 1404 393
Answer:
D) $400
Step-by-step explanation:
We are given the relations ...
s = 0.75m
s = 300
Then we can find m by equating the expressions for s:
0.75m = 300
m = 300/0.75 = 400
Meifen's savings is $400.
help please! True or False: all cells have a cell membrane.
Answer:
true
Step-by-step explanation:all cells have a cell membrane but not all have cell walls
out of the 4, which is the solution?
Answer:
x=0
Step-by-step explanation:
You can substitute 2-6y in for x to create
9y +2(2-6y) = 3
9y + 4 -12y = 3
-3y = -1
y=1/3
Then plug in y for x=2 -6y
x= 2-6(1/3)
2-2=x
x=0