Answer:
Area = 7.5
Step-by-step explanation:
The area of the triangle bounded by vertices P(1,1), Q(-2,1), and R(-1,-4) will be 7.5 unit square.
What is a triangle?A triangle is a 3-sided shape that is occasionally referred to as a triangle. There are three sides and three angles in every triangle, some of which may be the same.
The sum of all three angles inside a triangle will be 180° and the area of a triangle is given as (1/2) × base × height.
There are many types of triangles such that right-angle triangles, equilateral triangles, and much more.
Given the triangle with vertices P(1,1), Q(-2,1), R(-1,-4)
Length between two coordinates (x₁,y₁) and (x₂,y₂) is given by
[tex]d = \sqrt {\left( {x_1 - x_2 } \right)^2 + \left( {y_1 - y_2 } \right)^2 }[/tex]
By using this formula
PQ = 3 , QR = 5.099 and PR = 5.385
Now,
The area of a triangle with all three sides is given by
A = [tex]\sqrt{S(S - A)(S - B)(S - C)}[/tex] where A,B and c are sides and s = (A + B + C)/2
So,
S = (3 + 5.099 + 5.385)/2 = 6.742
Now,
A = [tex]\sqrt{6.742(6.742- 3)(6.742 - 5.099)(6.742 - 5.385)}[/tex]
A = 7.499 ≈ 7.5
Hence "The area of the triangle bounded by vertices P(1,1), Q(-2,1), and R(-1,-4) will be 7.5 unit square".
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Transform the following formulas as indicated.
A = bh, solve for h
a=1/2h (a+b), solve for b
2x29divide by 70006=x=?
Answer:
I think it is 71.222222 repeating
Step-by-step explanation:
Hope this helped have an amazing day!
What is the value of f(-1)?
O f(-1) = -3
Of(-1) = -1
O f(- 1) = 0
Of(-1) = 6
Answer: C: f(-1)=0
Step-by-step explanation:
To find f(-1), we look for the value under f(x) that corresponds to x=-1. This value is 0.
Which 3 relationships are true in the construction below?
Answer:
The correct options are;
Line CD is the perpendicular bisector of line AB
Line segment AB is perpendicular to line CD
Line segment AE is congruent to line segment BE
Step-by-step explanation:
From the construction, we have that the radius of circle A is equal to the radius of circle A as the circumference of circle A passes through the center of circle A
Therefore, the construction is the bisection of line segment AB by the construction of the perpendicular bisector CD, from which we have line segment AE is congruent to line segment BE and line segment AB is perpendicular to line CD
Determine whether the lines are parallel, perpendicular, or neither. 5x + 2y = 14 and y = −5x + 9
Answer: Neither
Step-by-step explanation:
5x + 2y = 14
2y = -5x + 14
y = -5/2 x + 7; slope m = -5/2
y = –5x + 9 ; slope m = -5.
Parallel lines slopes are equal and perpendicular slopes are opposite and reciprocal.
So both lines are neither parallel nor perpendicular
Answer
C. Neither.
Answer: Neither
Step-by-step explanation:
5x + 2y = 14
2y = -5x + 14
y = -5/2 x + 7; slope m = -5/2
y = –5x + 9 ; slope m = -5.
Parallel lines slopes are equal and perpendicular slopes are opposite and reciprocal.
So both lines are neither parallel nor perpendicular
Answer
C. Neither.
Find all real numbers x that satisfy the equation (x-4)(x-8) = 12.
Answer:
10,2
Step-by-step explanation:
what does 58x9234=????
Answer:
535572
Step-by-step explanation:
Np just for a friend
estimate 40,182 ÷ 2
Answer: 20,091 is the answer but if you round it becomes to 22,090
Answer:
20091
Step-by-step explanation:
What is the equation of the line that passes through (–5, 0) and (4, 3)?
A. y = 1/3x + 5/3
B. y = –1/3x – 5
C. y = 3x + 15
D. y = –3x – 15
Answer:
bop bada bap boom pow!Djdnxnjxjdjfbcc
what is the slope of the graph of y=12x-19
Answer:
The slope is 12
Step-by-step explanation:
Remember the slope formula y=mx+b
m= the slope
b= y-intercept
NEED HELP ASAP PLEASE HELP!!!!
Answer:
d
Step-by-step explanation:
The regular price is $8.45 more than the sale price. The regular price
is $24.95. What is the sale price? _____
Answer:
33.04
Step-by-step explanation:
just add lolz :P
Answer:
$33.40
Step-by-step explanation:
1 1 1
24.95
+ 8.45
__________
33.40
5+5 is 10 so bring a 1 to the top and put a 0 for the bottom
1+9+4 is 14 so put the 4 down and put the 1 on top.
1+4+8 is 13 so put the 3 down and put the 1 on top.
1+2 is 3 so put the 3 down
then you get 33.40
help me please I suck at math its my weakness
Answer:
b
Step-by-step explanation:
Solve the equation by completing the square.
6x^2-12x-16=2
Kiesha and her classmates wrote proportions for the reduction of a triangle.
A larger and smaller triangle have corresponding heights and bases.
Which proportions are set up correctly? Select three options.
StartFraction original height over original base EndFraction = StartFraction reduction height over reduction base EndFraction
StartFraction original height over reduction height EndFraction = StartFraction original base over reduction base EndFraction
StartFraction original height over reduction base EndFraction = StartFraction reduction height over original base EndFraction
StartFraction reduction height over reduction base EndFraction = StartFraction original height over original base EndFraction
StartFraction original height over original base EndFraction = StartFraction reduction base over reduction height EndFraction
Answer: A, B, and D are correct!
Step-by-step explanation:
Hope this helps! :)
The three proportions that are set up correctly for the reduction of a triangle are:
original height / original base = reduction height / reduction base
original height / reduction height = original base / reduction base
original height / reduction base = reduction height / original base
Options 1, 2, and 3 are correct.
What is a triangle?A triangle is a 2-D figure with three sides and three angles.
The sum of the angles is 180 degrees.
We can have an obtuse triangle, an acute triangle, or a right triangle.
We have,
The three proportions that are set up correctly for the reduction of a triangle are:
1)
original height / original base = reduction height / reduction base
This proportion represents that the ratio of the original height to the original base is equal to the ratio of the reduction height to the reduction base.
2)
original height / reduction height = original base / reduction base
This proportion represents that the ratio of the original height to the reduction height is equal to the ratio of the original base to the reduction base.
3)
original height / reduction base = reduction height / original base
This proportion represents that the ratio of the original height to the reduction base is equal to the ratio of the reduction height to the original base.
Thus,
original height / original base = reduction height / reduction base
original height / reduction height = original base / reduction base
original height / reduction base = reduction height / original base
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NEED HELP!!! ASAP last minute homework
The error is the sign of Inequality.
For Inequality, when the variable has negative coefficient, moving to another side would cause the Inequality symbol/sign to swap.
Therefore, from x>=-3 as it should be x<=-3
lemme get some help plz
Answer:
6(8x-2)
48x- 12 (this is the answer)
Step-by-step explanation:
to do those, you use the distributive property, which is taking the number outside the parenthesis and multiplying it by everything inside of it
Which table does NOT show y as a function of x?
Answer:
C
Step-by-step explanation:
I don’t really know what to say haha, it’s easy
what is the lowest term of 64/96
Answer: the answer is 2/3
Step-by-step explanation: hope this helps
Answer:
[tex]0.6666666667[/tex] [tex]or[/tex] [tex]\frac{2}{3}[/tex]
Step-by-step explanation:
[tex]--------------------------------------------[/tex]
[tex]\frac{64}{96}[/tex] = [tex]\frac{32}{48}[/tex] = [tex]\frac{16}{24}[/tex] = [tex]\frac{8}{12}[/tex] = [tex]\frac{4}{6}[/tex] = [tex]\frac{2}{3}[/tex] = [tex]0.6666666667[/tex]
[tex]--------------------------------------------[/tex]
Hope this helps! <3
[tex]--------------------------------------------[/tex]
UUUUUUUUUUUUUUUUUUUUUU
Answer:
B. -3 > -4
Step-by-step explanation:
have a nice day!!
For a line with the equation y=2/3x−4, the slope is:
A 2
B 2/3 thirds
C 3
D -4
Answer:
The answer is B. 2/3 because y=mx+b mx us always the slope and b is the y intercept
The admission fee at a museum is $5 for children and $16 for adults. Yesterday, 800 people came to the museum and $8400 was collected. How many children and how many adults came to the museum?
Write a simplified expression for the algebra tiles below. Remember, variables should be listed first, then constants.
Answer:
❤Sorry if im wrong but -4x❤
Step-by-step explanation:
✌If right plz mark branliest✌
4x+7y=83 and 5+6y=90 solved by substion
Solve each system to find the answer
Given:
The system of equations is
[tex]5g+4k=10[/tex]
[tex]-3g-5k=7[/tex]
To find:
The solution of given system of equations.
Solution:
We have,
[tex]5g+4k=10[/tex] ...(i)
[tex]-3g-5k=7[/tex] ..(ii)
Multiply (i) by 5 and (ii) by 4.
[tex]25g+20k=50[/tex] ...(iii)
[tex]-12g-20k=28[/tex] ..(iv)
Adding (iii) and (iv), we get
[tex]25g-12g=50+28[/tex]
[tex]13g=78[/tex]
Divide both sides by 13.
[tex]g=\dfrac{78}{13}[/tex]
[tex]g=6[/tex]
Put g=6 in (i).
[tex]5(6)+4k=10[/tex]
[tex]30+4k=10[/tex]
[tex]4k=10-30[/tex]
[tex]4k=-20[/tex]
Divide both sides by 4.
[tex]k=-5[/tex]
So, the solution of the system of equation is (6,-5).
Therefore, the correct option is A.
The speed limit on a highway is 80 miles per hour. How many miles per minute is this?
Answer:
0.75
Step-by-step explanation:
Cuanto es 17 entre un medio
Answer: 8.5
Step-by-step explanation:
espanol- deberia ser 8.5
english- it should be 8.5 good luck!
Solve x + 7 > 15 or 2x - 1 < 3.
Answer:16x?
Step-by-step explanation:
How do I make 2x+y+ 3X - 7 y=mx+b
Step-by-step explanation:
[tex]2x + y + 3x - 7y \\ = (2x + 3x) + (y - 7y) \\ = (5x) + ( - 6y) \\ = 5x - 6y \\ = mx + b \\ where \: \: m = 5 \\ where \: \: b = - 6y[/tex]
You go to Mellow Mushroom and your bill is $50.
You decide to leave a 20% tip.
What is your final cost?