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.
Whats 5000+35548-455x4534+38534x233=?
Answer:
6,956,000
Do all the operations in order by following the PEMDAS method.
I was constructing towers as you see below. I noticed that each
time I made the tower higher, I had to add more blocks on the
sides to stabilize the structure. I would like to know how many
cubes I will need to build a 5-block high tower and a 10-block
high tower. Generalize, if you can, on how many blocks I will
need for any size tower?
Answer:
is there an equation for this or simple math?
Answer:
5 Blocks=4 blocks (on sides) 10 Blocks=9 blocks (on sides)
Step-by-step explanation:
You subtract one set of blocks (on sides) each time. That's it! Hope this helps!
10pts and I’ll mark brainliest!
(Also EXPLAIN the reasoning you used to write the expression)
9514 1404 393
Answer:
area = x(3x +10)
Step-by-step explanation:
The lengths of the unmarked sides are found as the difference between the lengths of the parallel marked sides.
horizontal unmarked = (2x+15) -x = x +15
vertical unmarked = (2x -5) -(x -5) = x
The area of the figure is the sum of the areas of parts of the figure. The area can be divided several ways. One is shown in the attachment, along with the areas of the parts and of the whole.
The whole area is ...
x(2x -5) +x(x +15) = x((2x -5) +(x +15)) = x(2x -5 +x +15) = x(3x +10)
What lever has resistance between the axis (fulcrum) and the force (effort)? A. first B. second C. third D. fourth Please select the best answer from the choices provided. A B C D
Answer:
B. Second
Step-by-step explanation:
Levers are defined as the simple machine, which consists of a rod fixed at a pivot, load, and fulcrum. The levers are classified into first class, second, and third class.
What is lever?A lever is a simple machine made of a rigid beam and a fulcrum. The effort (input force) and load (output force) are applied to either end of the beam. The fulcrum is the point on which the beam pivots. When an effort is applied to one end of the lever, a load is applied at the other end of the lever.
here, we have,
The difference between different types of levers are:
1. In the first-class levers, the fulcrum is present between the load and effort. The mechanical advantage can be greater, less, or equal to 1.
2. The second class levers, the load is present between the fulcrum and effort. The mechanical advantage is always greater than the 1.
3. The third class levers, the effort is present between the fulcrum and load. The mechanical advantage is always less than 1.
Thus, the correct answer is Option 1.
To know more about levers,
brainly.com/question/4468883
#SPJ5
complete question:
What distinguishes first class levers from both second and third class levers? A. The fulcrum is between the load and effort. B. There is a fulcrum on both sides of the load. C. Greater effort is required to move the load. D. The first class lever is not found in the human body. Please select the best answer from the choices provided. A B C D.
help with these please im sorry I wanna save points
Keith decided to do pushups everyday as part of his exercise routine. He started to do 10 pushups today and he will be adding 3 additional counts for each day that his exercise continues. How many pushups will Keith do if he is exactly on his 3rd week of his exercise routine?
Answer:
55 push ups
Step-by-step explanation:
Given that:
Starting count = 10
Additional count = 3
Starting count + (additional count * number of days)
Exactly on the 3rd week = on the 15th day
10 + (3 * 15)
10 + 45
= 55 push ups
what does d/dx (-8x - 643)=
simplify (4/5-2). ignore this it has to be 20 characters to work
Answer:
-1.2
Step-by-step explanation:
What are the solution(s) to the absolute value equation below?
Answer:
C
Step-by-step explanation:
Given
5| x - 7 | + 4 = 4 ( subtract 4 from both sides )
5 | x - 7 | = 0 ( divide both sides by 5 )
| x - 7 | = 0, thus
x - 7 = 0 ( add 7 to both sides )
x = 7 ← is the only solution → C
Please Help Me Please Ill mark brainiest
Answer:
1. Similar by AAA (3 angles equal)
2. Similar by SSS (3 sides proportionate)
3. Similar by SAS ( 2 side proportionate and equal angle in between)
Justine lives in an apartment while attending college. Her monthly rent last year was $680, but this year she has to pay $800 per month. By what percent did her monthly rent increase from last year to this year?
Answer:
6,528,000
Step-by-step explanation:
Multiply 800 by 12. Then multiply the number by 680. And there u go.
6,528,000
The percent did monthly rent increase from last year to this year is 17.6%
Last year Justine paid $680 in rent while this year she paid $800 in rent
The increase in rent = $800 - $680 = $120
The percentage increase in rent = ($120/$680) * 100% = 17.6%
The percent did monthly rent increase from last year to this year is 17.6%
Find out more at: https://brainly.com/question/20818421
What’s the perimeter
Write the equation of a line parallel to y=2x+7 that passes through the point (-4, 5)
he side length, s, of a cube is 3x + 2y. If V = s3, what is the volume of the cube
Answer:
V=(3x+2y)^3
Step-by-step explanation:
V=s^3
s=3x+2y
Substitute
V=(3x+2y)^3
A biology class examined some flowers in a local meadow. They saw 60 flowers, of which 25% were perennials. How many perennial flowers did the students see?
Answer:
Step-by-step explanation:
first do 60 divided by 4 because we know 25 percent is equal to 1/4
so the answer would be 15
x + 9 = -2
Could someone please help me with this problem?
Answer:
x = -11
Step-by-step explanation:
First, you have to isolate x to one side. To do this, you have to subtract 9 on both sides like this
x + 9 - 9 = -2 - 9
So this will now be
x = -11
There you go!
Answer:
x=-11
Step-by-step explanation:
x+9=-2
-9 -9
---------------
x=-11
Given (x – 7)2 = 36, select the values of x.
Answer:
x=1
Step-by-step explanation:
(x-7)²=36
x-7=±6
either x-7=6,x=6+7=13
or x-7=-6,x=-6+7=1
Answer: x = 1 and x = 13. It's both.
Step-by-step explanation:
Evaluate the expression "12 - (-36) / -6"
Answer:
ah bbhgggvgujjbgg
hhhjj
The product of 5 and a number x is 1/4 What is the value of x?
x=19/4
x=1/20
x =5/4
x =4 3/4
Answer:
x=19/4
Step-by-step explanation:
The product of 5 and a number x is 1/4
write this number in scientific notation 56,700,000
Answer:5.67* 10^7
Step-by-step explanation:
if (81)^p = 43,046,721, what is the value of p?
Answer:
P = 4
Step-by-step explanation:
81 x 81 x 81 x 81 = 43,046,721
Plzz help e for brainliest if 2 people answer
Answer:
B
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
50°
850
53 + x
I need to find the value of x and without saying x =
a function is a type of ____.
a. vertical line test
b. relation
c. range
d. domain
Answer:
relation
Step-by-step explanation:
i just took the test and got it wrong because of the other answer
Which of the following is a second degree trinomial? 3x + 8 -4x2 - 6x + 7 6x4 + 4x2 - 7 5x2 + 10
Answer:
the first one
Step-by-step explanation:
because it is
There are 40 teachers that work in a school. On
Friday, 26 teachers were present. What percent
of the teachers showed up for work?
Answer:
65% sorry if it isn't right
Which is greater, 4 4/10 or 32/10? Explain how u know.
Answer:
4 4/10
Step-by-step explanation:
Well, 32/10 would by 3 2/10 when you divide it, I think. So 4 4/10 is greater.
Fractions may be equal or unequal.
[tex]\mathbf{4\frac{4}{10}}[/tex] is greater than [tex]\mathbf{\frac{32}{10}}[/tex]
The fractions are given as:
[tex]\mathbf{F_1 = 4\frac{4}{10}}[/tex]
[tex]\mathbf{F_2 = \frac{32}{10}}[/tex]
Express the fractions as improper fractions
[tex]\mathbf{F_1 = \frac{44}{10}}[/tex]
Both fractions have the same denominator.
So, the fraction with a greater numerator is greater.
By comparison: 44 is greater than 32
i.e. 44 > 32
Hence, [tex]\mathbf{4\frac{4}{10}}[/tex] is greater than [tex]\mathbf{\frac{32}{10}}[/tex]
Read more about fractions at:
https://brainly.com/question/20335146
Please help me out!
Answer:
5[tex]\sqrt{8}[/tex], 40/3, [tex]\sqrt{170}[/tex]
Step-by-step explanation:
[tex]\sqrt{170}[/tex]= 13.03840481
5[tex]\sqrt{8}[/tex] = 14.14213562
40/3 = 13.33...
I need help writing the expressions
Answer:
Company a= 15x+10y+25z+75
Company b=20x+10y+30z+60
Step-by-step explanation:
Ok i figured out the other question with some help but this one is actually confusing to me