2.
What is the area of a triangle whose vertices are J(-2,1), K(4,3), and L(-2,-5) ?
(7 points)
a. What is the formula for the area of the triangle?
b.
Find the length of the base. Do not round to a decimal.
C.
Find the length of the height. Do not round to a decimal.
d. Find the area of the triangle.
Answers
Answer:
Area: T = 18
a. The triangle area using Heron's formula: T= sqrt(s(s−a)(s−b)(s−c) )
b. 2[tex]\sqrt{10}[/tex]
c. h = 5.69
d. T = 18
Step-by-step explanation:
a. T= sqrt(s(s−a)(s−b)(s−c) )
T=sqrt( 11.16(11.16−10)(11.16−6)(11.16−6.32) )
T= sqrt(324 )
T =18
b. We compute the base from coordinates using the Pythagorean theorem
c= sqrt( ((−2−4)^2)+ ((1−3) ^2) )
c= sqrt(40) = 2sqrt(10)
c. Calculate the heights of the triangle from its area
Related Questions
GIVING BRAINLY , THANKS, AND 5 STAR RATING what is the equation of the line in slope intercept form
Answers
Answer:
[tex]y=\frac{2}{-0.5} x[/tex]
Step-by-step explanation:
Since we know that the line starts at (0,0), it goes up by 2 and goes 0.5 to the left. I hope this was helpful & if it is correct.
A circle is divided into 3 equal parts. What is the total angle measure of 1 part?
Answers
Answer:
120 degrees each
Step-by-step explanation:
360 degress divided by 3 = 120
PLEASE HELP BEING TIMED
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The student council at Greenwood High School is selling T-shirts for $20 a piece. Their costs are $5 per shirt, plus $45 for supplies. Selling a certain number of shirts will allow the student council to cover their costs. How many shirts do they need to sell to break even? How much in costs will they have incurred at that point?
The student council needs to sell ( ) T-shirts to break even. At that point, they will have incurred $( ) in costs and collected the same amount in sales.
Answers
Simplify the ratio 12:8 and write the ratio in all three forms.
Answers
Answer:
Step-by-step explanation:
1. Simplify
greatest common factor = 4
3:2
a. 3 to 2
b. 3:2
c. 3/2
Find the value of x.
Answers
Answer:
-11
Step-by-step explanation:
I think you do 5x-24=8x+9
Will give brainliest if correct.
Answers
The sencond one is D.
The first one is probable A hope i'm right on this on.
PLEASE HELP{ WILL GIVE BRAINLIEST
A man is standing next to a 24 ft tree. The man is 7ft tall with a shadow of 3ft. How long is the shadow of the tree?
Answers
Answer:
[tex]\approx10.29\text{ feet}[/tex]
Step-by-step explanation:
Please refer to the attachment.
By AA Similarity, the two triangles are similar.
Therefore, corresponding parts of them are proportional.
Therefore, we can write the following proportion:
[tex]\frac{7}{24}=\frac{3}{x+3}[/tex]
We will solve for x. Cross-multiply:
[tex]7(x+3)=24(3)[/tex]
Distribute:
[tex]7x+21=72[/tex]
Subtract 21 from both sides:
[tex]7x=51[/tex]
Divide both sides by 7. So, the value of x is:
[tex]x\approx7.2857[/tex]
However, that is only the value of x.
The shadow of the tree is (x+3).
Hence, we will need tot add 3 to our value. Therefore, the actual length of the shadow of the tree is approximately:
[tex]\approx10.2857\approx10.29\text{ feet}[/tex]
What the answer to -4.5
Answers
Answer: 4.5
Step-by-step explanation: I’m assuming you are taking about the absolute value, and the absolute value of -4.5 is 4.5
Answer:
this doesn't even make any sense ;-;
Step-by-step explanation:
what do u mean what is the answer to -4.5
wheres the full question?
im confused what u mean
but the absolute value is 4.5 if thats what u mean
I need help ASAP please
Answers
Answer:
just subtract all 3 of the y intecept part, i think
Step-by-step explanation:
Answer:
Written in y=mx+b
Its y= 2/3x-23
So your answer for the y-intercept is -23
Step-by-step explanation:
I really need help with this problem?
Answers
Use the elimination method to solve the system of equations. Choose the correct ordered pair.
5x - 2y = 9
3x + 4y = -5
Answers
Answer:
(1,-2)
Step-by-step explanation:
Find the x-intercept and y-intercept of the line. 3x-6y=12
Answers
Answer:
the y- intercept is "3" and the x- intercept is "6"
Step-by-step explanation:
Here is a table of values for y = f(x).
Х
0 5 10 15 20 25 30 35 40
f(x) 5 6 7
8
9
10 11
12 13
Mark the statements that are true.
A. f(15) = 8
✓ B. The range for f(x) is all real numbers.
✓ C. f(5) = 6
I D. The domain for f(x) is the set {5, 6, 7, 8, 10, 11, 12, 13).
Answers
the complete question in the attached figure
statements
case A) f(15)=8-----> is correct
for x=15
f(x)=8
case B) the domain of f(x) is the set {5,6,7,8,10,11,12,13}--> is not correct
because the domain of f(x) is the set {0,5,10,15,20,25,30,35,40}
case C) f(5)=6-----> is correct
for x=5
f(x)=6
case D) the range for f(x) is all real numbers----> is not correct
because
the range of f(x) is the set {5,6,7,8,9,10,11,12,13}
the answer is
A and C
3 friends went to a coffee shop. Each of them got a muffin and two cups of coffee. The total cost of the order was $21.75. If a muffin is $3.25, write an equation to solve for c, the cost of 1 cup of coffee
Answers
Answer:I think it’s 3.25(3)+6c=$21.75, I’m not sure
Step-by-step explanation:
please help me in this question
Answers
Step-by-step explanation:
1m 75cm=175cm
175/(25/7)
=49
Answer:
number of pieces is 49
Step-by-step explanation:
Length of piece is [tex]3\frac{4}{7}[/tex]
= [tex]\frac{25}{7}[/tex] cm
hence the numbers pieces,
[tex]\frac{175}{1}[/tex]
[tex]\frac{25}{7}[/tex]
⇒ [tex]\frac{(175 *7)}{25}[/tex]
⇒ = 7x7=49
HELP ASAP DUE IN 5!!!!
The points in each table lie on a line. Find the slope of the line.
O 1/5
O 1
O 5
O None of the above
Answers
(-1,2) (-3,-2) slope intercept form
Answers
Answer: The slope is 2
Step-by-step explanation: -1 to -3 is -2. 2 to -2 is -4. rise/run. -4/-2=2
please help and thanks
Answers
explanation:
there are 12 tiles in total. 6 green tiles and 6 is half of 12, half in a percentage is 50%, and to get the decimal form, move the decimal to right, so then your answer is 0.5%
Does anyone know this???
Answers
Answer:
Decimal: 9.5
Improper Fraction: 19/2
Percent: 950%
Rounded: 10
Step-by-step explanation:
Can I be brainliest? TYSMM
let's see who is smart enough to answer this if you get it right you will get 48 points and the Brainiest crown thing
Answers
Answer:
J
Step-by-step explanation:
J is wht i think
Answer:
A ) Adding direction.
Step-by-step explanation:
1) Speed = Distance Time.
2) Speed = s t.
3) 1 m 1 s × 1 km 1000 m × 3600 s 1 h = 3600 m · km · s 1000 s · m · h = 3.6 km 1 h.
4) Speed = Distance Time.
5) Velocity = Displacement Time in a direction.
(x - 3)^2/9 - (y - 2)^2/16 = 1 The vertices of the hyperbola are:
(-1, 2) and (7, 2)
(3, 6) and (3, -2)
(0, 2) and (6, 2)
Answers
( 3,6) and ( 3,-2)
To determine the vertices of the hyperbola using the equation[tex](x - 3)^2/9 - (y - 2)^2/16 = 1,[/tex] we can identify the values of a and b, where a represents the distance from the center to the vertices along the x-axis, and b represents the distance from the center to the vertices along the y-axis Therefore the correct option is D.
The given equation can be written as ([tex]x - 3)^2/3^2 - (y - 2)^2/4^2 = 1[/tex], which indicates that [tex]a^2 = 9[/tex] and[tex]b^2 = 16[/tex]. Taking the square root of a^2 and b^2 yields a = 3 and b = 4. The center of the hyperbola is (3, 2), and since the vertices are symmetrical about the center along the x-axis, the vertices can be found by subtracting and adding a from the x-coordinate of the center.
Consequently, the vertices of the hyperbola are (0, 2) and (6, 2). In summary, the vertices of the given hyperbola are located at (0, 2) and (6, 2).
Therefore the correct option is D
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37,916,037,349 + 6,966,839 =
Answers
Answer: 37923004188 I used a paper to do this.
Step-by-step explanation: Have a blessed day!
Answer: 37,923,004,200
Step-by-step explanation:
A tank can hold 40,000 gallons of water. If 500 gallons of water are
used each day, write the equation that represents the amount of water
in the tank x days after it is full.
Answers
Answer:
25
Step-by-step explanation:
1) 40,000-500(x)
this is the equation you could use
or
2) the tank will be empty after 80 days
this is to solve the problem
to check your work
40,000=500(80)
40,000=40,000
this way it checks out
Each day, the cafeteria serves more than 200 apples with lunch. Write an inequality that represents this situation. Let a represent the number of apples.
Answers
Here is the answer
a > 200
The expression for the inequality is written as a > 200.
What is inequality?When two expressions are connected by a sign like "not equal to," "greater than," or "less than," it is said to be inequitable. The inequality shows the greater than and less than relationship between variables and the numbers.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that each day, the cafeteria serves more than 200 apples with lunch.
The inequality will be written as,
a > 200
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If the technician charged $327.50, then the technician worked
hours.
Answers
Answer:
Idrk because you need to tell me the Hours
Step-by-step explanation:
Sorry :c But if you tell me more I m sure I could help :D
Please help me hahahhahahhahahhhhhhshshs can
Answers
Answer:
The slope of this line is -2/3x.
Step-by-step explanation:
The slope can be found by getting x1 and y1 (0,3) and x2 and y2 (3,1). Once you have these you would do y2 - y1 / x2 - x1.
And the equation then is
1 - 3 / 3 - 0. After simplifying this you get -2/3.
Two sides of a triangle are 12 meters and 16 meters. What is the largest the third side can be?
A) 22 meters
B) 24 meters
C) 26 meters
D) 28 meters
Answers
Answer:
The largest third side would be 26 meters.
Option B is correct.
Step-by-step explanation:
We are given two sides of triangle 12 meters and 16 meters.
We need to find What is the largest the third side can be?
We know that the length of third side should be less than the sum of two sides of triangle
third side < length of first side + length of second side
third side < 12+16
third side < 28
So, the length of third side should be less than 28
We need to find the largest the length of third side can be: from options 22, 24 and 26. We would not consider 28 because length should be less than 28.
So, the largest third side would be 26 meters.
Option B is correct.
-1= 4 -5x can you please answer this
Answers
Answer:
x=1
Step-by-step explanation:
1*5 is 5 and 4 minus 5 is -1 hope this helped :)
pls ayuda es para hoy mismo y es un examen
Answers
Answer:
-4
6x+29=5
6x=5-29
6x=-24
x=-4
Answer
es-4
Step-by-step explanation:
If z is inversely proportional to r, and z=32 when r=1.5, find r when z=8.
Answers
Answer:
votes
z is inversly proportional to r then z = k/r
zr = k
If z = 32 when r = 1.5
32(1.5) = k
48 = k
k = 48
If z = 8 then r = ?
8r = k
8r = 48
Divide to each side by 8.
r = 48/8
r = 6