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
Hi. ITS URGENT.
I need help with No 5 and 7 (see image)
Please show workings
Answers
Answer:
5. a^3 + b^3 = (a+b)^3 - 3ab(a+b)
Step-by-step explanation:
(a+b)^3
= (a+b) (a+b) (a+b)
={(a+b) (a+b)} (a+b)
={a(a+b) + b(a+b)} (a+b)
=(a^2 + ab + ab + b^2) (a+b)
=(a^2 + b^2 + 2ab) (a+b)
=a^2(a+b) + b^2(a+b) + 2ab(a+b)
=a^3 + a^2b + ab^2 + b^3 + 2a^2b + 2ab^2
=a^3 + b^3 + 3a^2b + 3ab^2
=a^3 + b^3 + 3ab(a+b)
(a+b)^3 = a^3 + b^3 + 3ab(a+b)
(a+b)^3 - 3ab(a+b) = a^3 + b^3
a^3 + b^3 = (a+b)^3 - 3ab(a+b)
Hope this helped!
Answer:
I am just giving the expansion, so that you can substitute the values and solve it
line with a slope of 2 and passes through point (3, 5)
Answers
Answer:
i dont get what you are trying to say is their a graph u can show
Step-by-step explanation:
Answer:
y = 2x - 1
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = 2, thus
y = 2x + c ← is the partial equation
To find c substitute (3, 5) into the partial equation
5 = 6 + c ⇒ c = 5 - 6 = - 1
y = 2x - 1 ← equation of line
PLZ PLZ HELP PLZ HELP PLZ HELP
Answers
Answer:
-2 is a negative number
Step-by-step explanation:
when multiplying or diving by a negative, you need to flip the inequality sign
Of the 1,740 students surveyed, 2 out of every 3 students said they prefer basketball to soccer. How many students prefer basketball?
Answers
Answer:
x=1160 HAVE A GREAT DAY!!! :D
Step-by-step explanation:
Okay! So, first you would set up a proportion
x/1740=2/3
Then you cross multiply
3x=3480
After that, you divide both sides of the equation by 3
x=1160
Which expression could be used to determine the cost of a $50 video game after a 20 percent discount?
50 dollars (0.20)
50 dollars minus left-bracket (50 dollars) (0.08) right-bracket
50 dollars minus 0.80
50 dollars (0.80). please a b c or d?
Answers
Answer:
d
Step-by-step explanation:
to find a discount you would multiply 50(0.20) whatever amount you get you would subtract that from 50
this is the same as 50(0.80)
What is the slope of y = -42 - 3?
Answers
Chinisa is swinging on a swing. Her maximum height above the ground is 7 feet and her minimum height above the ground is 1 foot.
Select all of the equations that could model Chinisa's height above the ground (y) after x seconds of swinging assuming that the x-axis represents the ground.
A.
y = 6 sin(2x) + 4
B.
y = 6 cos(2x) + 4
C.
y = 6 tan(2x) + 4
D.
y = 3 sin(2x) + 4
E.
y = 3 cos(2x) + 4
F.
y = 3 tan(2x) + 4
Answers
X=-4y + 4
2x + 8y =8
How many solutions are there?
Answers
Answer:
One solution.
Step-by-step explanation:
pls help me with question 8
Answers
9514 1404 393
Answer:
weight = 5, 6.5, 7.2, 9, 16
cost = $2.50, $3.25, $3.60, $4.50, $8.00
Step-by-step explanation:
The first column tells you the cost is ...
$2.50/(5 lb) = 0.50 $/lb
That is, each bottom number is half the top number, or each top number is double the bottom number.
The table is ...
weight = 5, 6.5, 7.2, 9, 16
cost = $2.50, $3.25, $3.60, $4.50, $8.00
combine like terms -3.6-1.9t+1.2+5.1t
Answers
i need some help with this
Answers
Answer:
d
Step-by-step explanation:
hope this is right
Rewrite x-3y=6 in slope intercept from
Answers
Answer: 1/3x -2
Step-by-step explanation:
X-3y =6 subtract x from both sides first
-3y=6-x. Then divide both sides by -3
Y= 6-x /-3 simplify
Y= -2+x/3 rearrange
Y= 1/3x -2
solve the equation
pls help me
Answers
For exercises 4-6, use the imaginary unit to write an equivalent expression for
the radicals.
Just number 4 and 6
Answers
6) 2(11i)
I’m pretty sure these are correct
The value of (Square root) 13 i is between _____.
A- 2 and 3
B- 5 and 6
C- 4 and 5
D- 3 and 4
Answers
Answer:
D
Step-by-step explanation
on the calculator it's 3.605551275 but rounding it is 4 so it's in between 3 and 4
yea im very slow so i need the answer pleaseeee!!
Answers
Answer:
I am thinking that the answer is B.
Step-by-step explanation:
Which was a challenge for the earliest permanent settlements?
Flooding allowed villagers to expand their property.
Fire risk increased due to the closeness of buildings.
Disease was a threat because of the close proximity to the rivers.
Droughts were a challenge that villagers overcame with technology..
Answers
Answer:
B
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
Dale will run at most 29 miles this week. So far, he has run 17 miles. What are the possible numbers of additional miles he will run?
Use t for the number of additional miles he will run.
Write your answer as an inequality solved for t.
Answers
Answer:
17+t=19
Step-by-step explanation:
there u go buddy :(
please answer this question
Answers
Answer:
x = 7 or x = -8
Step-by-step explanation:
3|2x + 1| = 45
Divide both sides by 3.
|2x + 1| = 15
Separate into a compound equation.
2x + 1 = 15 or 2x + 1 = -15
2x = 14 or 2x = -16
x = 7 or x = -8
Answer: A
Step-by-step explanation:
Yer welcome
A child tosses a baseball up into the air. On its way down, it gets caught in a tree for several seconds
before falling back down to the ground.
14
12
10
8
height (feet)
6
4
2
2
3 4 5 6 7 8 9 10
time (seconds)
Select the best description of the range of this function.
The range includes all numbers from 5 to 12.5.
The range includes all integers between 0 and 12.5.
The range includes all numbers from 0 to 8.5.
The range includes all numbers from 0 to 12.5.
Answers
Answer:
The range includes all numbers from 5 to 12.5.
Step-by-step explanation:
The range is along y- axis and the domain is along x- axis.
Range is given in heights and domain is given in time seconds.
It can depicted that for t= 0 secs the ball is at 5 feet and so on .
Therefore the range is given by numbers from 5 to 12.5.
Whereas the domain is given by numbers 0 t0 8.5 seconds
The range is the values of 'y' and the domain is the values of 'x'. So, the range of the includes all numbers between 5 and 12.5 and the domain includes all numbers between 0 and 8.5.
Given :
A child tosses a baseball up into the air. On its way down, it gets caught in a tree for several seconds before falling back down to the ground.
The graph attached below shows the given scenario that "A child tosses a baseball up into the air. On its way down, it gets caught in a tree for several seconds before falling back down to the ground".
The y-axis shows the height of the ball in feet from the ground and the x-axis shows the time in seconds.
The range is the values of 'y' and the domain is the values of 'x'. So, the range of the includes all numbers between 5 and 12.5 and the domain includes all numbers between 0 and 8.5.
Therefore, the correct option is A) The range includes all numbers from 5 to 12.5.
For more information, refer to the link given below:
https://brainly.com/question/11897796
2. Craig read 3 books each week for 3 weeks. Joe read 4 books a week for 3 weeks. How many more books did Joe read? Choose the answer that has the correct expression and the correct answer to the question
4x3+4x4; Joe read 28 more books than Craig.
0 4x3 - 3x3; Joe read 27 more books than Craig.
3x3-4x 3; Joe read 3 more books than Craig.
0 4x3 - 3x3; Joe read 3 more books than Craig
Answers
Answer:
4*3 - 3*3;
Joe read 3 more books than Craig
Step-by-step explanation:
Given
Craig:
3 books weekly for 3 weeks
Joe:
4 books weekly for 4 weeks
Required
How many more books did Joe read.
First, we need to determine number of books Craig reads
If in a week, Craig reads 3 books
Then in 3 weeks, Craig reads 3 * 3 books
Next, we need to determine number of books Joe reads
If in a week, Joe reads 3 books
Then in 4 weeks, Joe reads 4 * 3 books
Next, we determine the difference;
[tex]Difference = 4 * 3 - 3 * 3[/tex]
[tex]Difference = 12 - 9[/tex]
[tex]Difference = 3[/tex]
Hence, Joe reads 3 more books
Option D answers the question.
What is the arc length of an arc of a circle with dialneter of 10 and a central angle of 50°.
251
Answers
Answer:
The arc length is 4.36332.
Ghosts are still one of the greatest frights. The number of scares a ghost will get is modeled with the equation
`y=5x+2`. Skeletons, on the other hand, have become rather common and no one is scared of them anymore. In fact, they often are scared themselves more than they scare anyone else. If the equation for skeletons is perpendicular to the equation for ghosts and passes through the point (10, -4), what is the equation for skeletons?
Answers
Answer:
i don't know the answer but i really want the points
Step-by-step explanation:
I WILL GIVE YOU BRAINLIEST Simplify the expression using the distributive property.
4(3x + 2)
A. 7x + 8
B.12x + 2
C. 7x + 6
D.12x + 8
SHOW YOUR WORK PLZSSSSSSS
Answers
D
Like the other person said
HELP it’s like 3:00 A.M and this is due at 3:20 A.M and my brain is completely dead.
Answers
Answer: Bigger X = 17 Smaller X = 1/3
Step-by-step explanation:
for the larger number
1x - 8 = 9 (equation)
X = 17 (the result)
for the smaller number
9x - 2 = 1 (equation)
X = 1/3 (the result)
Directions: Determine whether the relation is a function. If the relation is a function, determine whether the
function is linear or nonlinear. EXPLAIN IN DETAIL WHY EXPLAIN the best way as possible
Answers
Answer:
Step-by-step explanation:
1. yes it is a function. The x is used just once and will pass the vertical line test.
2.y =-2x+3. Yes. Came as above. The x intercepts are (3/2,0) and the y is (0,3)
3. x= -2. No because it is a straight line or vertical line up the -2
I need help with this Show work on each one
Answers
Answer:
first one is 1
Second is -2/3
PLEASE HELP ME!!!!!!!!!!!!!!!
You received a $150 gift certificate to a clothing store. The store sells T-shirts for $17 and dress shirts for $26. You want to spend no more than the amount of the gift certificate. You want to leave at most $8 of the gift certificate unspent. You need at least dress . What are all of the possible combinations of T-shirts and dress shirts you could buy?
seclect all that apply
A: 4 t-shirts and 3 dress shirts
B: 1 t-shirt and 5 dress shirts
C: 5 t-shirts and 2 dress shirts
D 2 t-shirts and 4 dress shirts
Answers
Answer:
d I think
Step-by-step explanation:
blablablablabal
If b(x) = negative2(xminus50), what is the value of b(20)?
Answers
Answer:
b(20) = 60
Step-by-step explanation:
Here, given that ;
b(x) = -2(x-50)
we want to find the value of b(20)
what we need to do is to simply substitute x for 20
That will be:
b(20) = -2(20-50)
b(20) = -2(-30)
b(20) = 60
Amanda’s dog eats 12\frac{1}{2}12 2 1 pounds of dog food in 3 weeks.
Answers
Answer:
y=mx+b
Step-by-step explanation: