The area of a triangle is the amount of space on the triangle
The expression that represents the area of the triangle is [tex]A = \frac 12|-5(2 -4) +3(2 -6) -2(4 -6)|[/tex]
The coordinates of the triangle are given as:
[tex]R = (-5,6)[/tex]
[tex]S = (3,4)[/tex]
[tex]T = (-2,2)[/tex]
The area (A) of a triangle from its coordinates or vertices are:
[tex]A = \frac 12|x_1(y_3 -y_2) +x_2(y_3 -y_1) + x_3(y_2 -y_1)|[/tex]
Substitute values for x's and y's
[tex]A = \frac 12|-5(2 -4) +3(2 -6) -2(4 -6)|[/tex]
Hence, the expression that represents the area of the triangle is [tex]A = \frac 12|-5(2 -4) +3(2 -6) -2(4 -6)|[/tex]
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what is the factor of this 3x - 12
Answer:
3 (x - 4)
Step-by-step explanation:
A store sells tents,sleeping bags,and campstools.A customer buys a tent, 2 sleeping bags, and 3 campstools for 212$.the price of the tent is 5 times the cost of a campstool.the cost of a sleeping bag is 6$more than the cost of a campstool.find the cost of was just item
The cost of each campstools, tent and sleeping bag is $20, $100 and $26
let
tent = 1
sleeping bags = 2
campstools = 3
Total cost = $212
tent = t
sleeping bags = s
campstools = c
If
t = 5c
s = c + 6
Total = t + 2s + 3c
212 = 5c + 2(c + 6) + 3c
212 = 5c + 2c + 12 + 3c
212 = 10c + 12
212 - 12 = 10c
200 = 10c
c = 200/10
c = 20
t = 5c
= 5 × 20
= 100
s = c + 6
= 20 + 6
= 26
Therefore, the cost of each campstools, tent and sleeping bag is $20, $100 and $26
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Determine whether it is possible to form a triangle
with side lengths 3, 6, and 10.
O yes
O no
A rectangular garden has a walkway around it. The area of the garden is 4(2.5x + 1.5). The combined
area of the garden and the walkway is 5.5(4x + 4). Find the area of the walkway around the garden as
the sum of two terms.
Answer:
Area of Walkway = 12x+16
Step-by-step explanation:
Area of Garden = 4(2.5x + 1.5) [Garden Area]: (10x + 6)
Area of Garden and Walkway = 5.5(4x+4) [Total Area]: (22x + 22)
Area of Walkway = [Total Area] - [Garden Area]
Area of Walkway = [5.5(4x+4)] - [4(2.5x + 1.5)]
Area of Walkway = [22x+22)] - [10x + 6)]
Area of Walkway = 12x+16
Answer:
9x+11 Its hard to explain but if you need a explanation khan academy really helps.
What is the measure of Zx?
Angles are not necessarily drawn to scale.
Answer:
This question is straightforward if you find different triangles in the figure itself.
Property of a triangle: All internal angles of a triangle must add up to 180°
Take a look at Triangle DBH.
Method A
Angle BHD = 180°-33°-46° (sum of angles in a triangle)
= 101°
Property of angles on a straight line: All angles on a straight line must add up to 180°
Angle x = 180°-101° (supplementary angles)
= 79°
Method B
Take a look at Triangle DBH.
Property of exterior angle (in this case, angle x): An exterior angle of a triangle is equal to the sum of its two opposite non-adjacent interior angles.
Angle x = 33°+46°
= 79°
hellllllllllllllllllllppppppppppppppppppppp
Answer:
Y-intercept: (0, -10)
X-intercepts: (5,0), (1,0)
Axis of symmetry: (3,0)
Step-by-step explanation:
You can tell what the y-intercept is by looking at the function. At the end there is a “-10”, which indicates that it’s the y-intercept.
There are many ways to find x-intercepts. You can factor the function, use the quadratic formula, or complete the square.
By factoring it, you get
-2(x-5)(x-1)=0
If one part of it equals zero, than the whole function equals zero.
So it can be split up like this
(x-5)=0
(x-1)=0
So...
x=5 and x=1 are the the zeros or (5,0) and (1,0)
Finally, you convert the function from standard form to vertex form. By doing -b/2a, you can find the x-coordinate of the vertex, which is the axis of symmetry. The answer is 3 or (3,0) because -12/2(-2)= 3.
The graph shows a nonstandard normal distribution curve with
a mean of 59.0 and a standard deviation of 6.7.
Find the area of the shaded region.
.7761
.2177
.3650
.7823
Using the normal distribution, it is found that the area of the shaded region is of 0.7823.
In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.In this problem:
The mean is of 59, hence [tex]\mu = 59[/tex].The standard deviation is of 7, hence [tex]\sigma = 7[/tex].The shaded region is the region to the left of 64.2, hence it's area is the p-value of Z when X = 64.2.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{64.2 - 59}{6.7}[/tex]
[tex]Z = 0.7761[/tex]
[tex]Z = 0.7761[/tex] has a p-value of 0.7823.
The area of the shaded region is of 0.7823.
To learn more about the normal distribution, you can take a look at https://brainly.com/question/24663213
A backyard measures 30 feet by 40 feet. If the owner builds a fence around, about how many feet of fencing will be needed?
Answer:
140 feet
Step-by-step explanation:
You will need to find the perimeter of the backyard to find how many feet of fencing will be needed
the formula for perimeter is: 2l+2w
So 2 times 30 is 60
with 2 times 40 80
60+80 is 140
Thus you will need 140 feet to cover the backyard
Hope this helps!
Answer:
140 ft
Step-by-step explanation:
Perimeter = 2(l+w)
Perimeter = 2(30+40)
Perimeter = 2(70)
Perimeter = 140
2+5+8+….+3n-1=n(3n+1)/2
Answer:
all you do is() first divide then go from left to right answers 4
i really dont know this
Answer:
your answer is b 8/10 - 5/10
Step-by-step explanation:
f the family decides to fly, they know that they will need a rental car for at least part of their trip. Gabriela and Luis estimate a budget of $315
$
315
for rental car expenses. One rental car company charges $55
$
55
per day and $35
$
35
in taxes and fees. They also estimate that they will spend $15
$
15
per day on gas. Gabriela wrote the equation (55d+35)+15d=315
(
55
d
+
35
)
+
15
d
=
315
to determine the number of days the family can rent a car from this company.
How many days could the Morales family rent a car if they choose this rental car company with their estimated budget?
Answer:
4 days
Step-by-step explanation:
55d+35+15d=315
70d=315-35
70d=280
d=280/70
d=4
How i can answer this question
Answer:
4k+11
Step-by-step explanation:
There you go. Happy to help.
Which of the following equations names the same line as -2x – 3y = 5?
A. -4x - 6y = 12
B. -4x - y = 10
C. -6x - 9y = 15
D. 4x - 6y = 15
Answer:
c
Step-by-step explanation:
_6x -9y =15
_6x÷3=-2x
9y÷3=3y
15÷3=5
so,_2x -3y =5
1. Which value is the closest to 0.9.997?
a.
1,000
b.
81
C.
10,000
d.
10
I think the answer would be D. 10 is closest to 0.9997
-88-3x=-35x-29(x-18)
Answer:
-88-3x=-35x-29(x-18)
-88-3x=-35x-29x-522
-88-3x=-6x-522
-88=-3x-522
424=-3x
x=10
Hope This Helps!!!
x+y=15
- 2x+5y=-2
solve the system of equations
please answer i’ll name you brainliest
Answer:
x= 11 and y = 4
Step-by-step explanation:
(solving by elimination)
Multiply the first equation by 2 and multiply the second one by 1.
2(x+y= 15)
1(-2x+5y=-2)
is now
2x+2y=30
-2x+5y-2
add them together to eliminate x
7y=28
then solve for y
7y=28
[tex]\frac{7y}{7}[/tex]=[tex]\frac{28}{7}[/tex]
y=4
---
Now you have y. put that back into the original equation for X
---
x+y=15
y= 4 so
x+4=15
x= 15-4
x=11
x=11, y=4
Area of square whose side is 11 cm ________
Answer:
121 cm²
Step-by-step explanation:
Square's area formula is
A=a²
where a stands for a side of the square
A=(11 cm)²
A=121 cm²
whenever you're talking of area you put cm²
Answer:
Given :
✧ Side of square = 11 cmTo Find :
✧ Area of squareUsing Formula :
[tex]\star\small{ \underline{\boxed{\sf{\red{Area_{(Square)} = {(Side)}^{2}}}}}}[/tex]
Solution :
Substituting the given value in the required formula to find area of square :
[tex]{\dashrightarrow{\small{{\sf{Area_{(Square)} = {(Side)}^{2}}}}}}[/tex]
[tex]{\dashrightarrow{\small{{\sf{Area_{(Square)} = {(11)}^{2}}}}}}[/tex]
[tex]{\dashrightarrow{\small{{\sf{Area_{(Square)} = {(11 \times 11)}}}}}}[/tex]
[tex]{\dashrightarrow{\small{{\sf{Area_{(Square)} = {(121)}}}}}}[/tex]
[tex]{\dashrightarrow{\small{{\sf{Area_{(Square)} = 121 \: {cm}^{2}}}}}}[/tex]
[tex]{\star{\small{\underline{\boxed{\sf{\pink{Area_{(Square)} = 121 \: {cm}^{2}}}}}}}}[/tex]
Hence, the area of square is 121 cm².
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Use the linear combination method to solve the system of equations PLZ HELP I WILL GIVE BRAINLIEST AND ITS WORTH A LOT OF POINTS, PLZZZZZZZZZZZZZZZZ
2x-3y=13
2x+4y=-8
A map with a scale of 2:in:350 mi shows two cities to be 6 inches apart. How many miles apart are the cities?
Answer:
1050miles.
Step-by-step explanation:
since every 2 inches=350 miles, then 6 inches= 3(350miles)
since 6/2=3.
or you can think of it this way:
there are 3 2-inches in 6 inches, and every 2 inches, it's 350s miles.
350+350+350=1050miles.
Marcus monthly salary is $1,500 plus 10% of sales. How much could Marcus earn per month with salary and 10% sales? Please explain your answer.........
Answer:
1500 + x(0.1)=salary
Step-by-step explanation:
Without a sales value, what I'm assuming you want is the equation to find his salary
Using a y=mx+b equation, we find that the b=1500, while m (the slope) is equal to 10%/100 and x is the dollar ammount in sales marcus has made, with y being this months paycheck
so we end up with an equation of 1500 +0.1x=y
Leave a thanks please!
why didnt lawrenece fishburn play morpheus in matrix 4 reddit
Answer:
I'm confused about your question can you explain?
HELP ME PLEASE I NEED HELP WITH THIS
Answer:
V = 82,406.16 cm³
Step-by-step explanation:
Volume of a sphere
V = 4πr³/3
V = 4•3.14•27³/3
V = 247,218.48/3
V = 82,406.16 cm³
Write the equation of the line that passes through the given points.
(0,−5) and (9,−1)
Answer:
y=4/9x-5
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(-1-(-5))/(9-0)
m=(-1+5)/9
m=4/9
y-y1=m(x-x1)
y-(-5)=4/9(x-0)
y+5=4/9(x)
y+5=4/9x
y=4/9x-5
send help pleaseeeeeeeeeeeeee
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what is the answer?
Answer:
1x+-8(-4)=b
Step-by-step explanation:
At Tasty Dogs, 2 of the last 12 customers wanted mustard on their hot dogs. Considering this data, how many of the next 6 customers would you expect to want mustard?
Answer:
I would expect 1 person to want mustard.
Explanation:
6 is half of 12, and 1 is half of 2 :)
Hope this helped
I agree with everything that dagaminangel said since two out of 12 wanted mustard one should want mustard out of the six
The digits from the serial number of a dollar bill are listed below.
6,8,5,8,2,8,5,8
Answer:
8 occurs most often so the number is 8.
Answer:
The mode is 8.
Step-by-step explanation:
mode means the number that occurs the most in a list.
if x is the midpoint of AB, then AX=XB?
Answer:
Yes
Step-by-step explanation:
AX is equal to XB
A scale drawing for a rectangular parking lot measures 5.3 cm by 7.5 cm.
The scale is 2 cm:7 m. What are the width of the actual parking lot, if the
drawing width is 7.5 cm?
=====================================================
Work Shown:
(2 cm)/(7 m) = (7.5 cm)/(x meters)
2/7 = 7.5/x
2x = 7*7.5
2x = 52.5
x = 52.5/2
x = 26.25
7.5 cm on paper corresponds to 26.25 meters in real life.
side note: 26.25 meters = 86.122 feet approximately
Is 30 squared, 10 squared, 50 squared, 30 squared, or 60squared closest to 5?
Answer:
if you are dividing by 2 then 10 is closer but if you multiplying .. 10 is still closer