Answer:
(-2, 0)
Step-by-step explanation:
y = 2x+4
6x - 3y = -12
Start by simplifying the second equation by dividing everything by 3 (this will make the math easier)...
2x - y = -4
Then, substitute 2x+4 for y into the second equation (this is because y = 2x+4)...
2x-3(2x+4)=-4
Distribute the -3
2x-3(2x)-3(4)=-4
2x-6x-12=-4
Combine like terms
-4x-12=-4
Add 12 to both sides
-4x-12+12=-4+12
-4x=8
Divide both sides by -4
x=-2
Plug -2 back in for x to solve for y:
y = 2(-2) + 4
y=-4+4
y=0
(x, y) = (-2, 0)
Answer:
Infinitely many solutions
Step-by-step explanation:
[tex]y=2x+4\\ [2] 6x-3y=-12[/tex] < ------------- Linear equations given
Equations Simplified or Rearranged :
[tex]y - 2x = 4 \\ [2] -3y + 6x = -12[/tex]
Solve by Substitution :
// Solve equation [1] for the variable [tex]y[/tex]
[tex][1] y = 2x + 4[/tex]
// Plug this in for variable[tex]y[/tex] in equation[tex][2][/tex]
[tex][2] -3*(2x+4) + 6x = -12[/tex]
[2] [tex]0 = 0 =>[/tex] Infinitely many solutions
Please help me with this question
Answer:
76
because if you get 51-31 = 20, 31- 16= 15, 16-6= 10 and 6- 1= 5. they add each number by using a multiplication of 5
Lisa charges $28 for 2 hours of swimming lessons, Tara charges $75 for 5 hours of swimming lessons. Who offers a better deal?
Answer:
Lisa
Step-by-step explanation:
Find the amount of money Lisa and Tara charge every hour.
Lisa's ratio is 28 : 2 hours
Divide both sides of the ratio by 2
Lisa charges 14 dollars per hour
Tara's ratio is 75:5 hours
Divide both sides of the ratio by 5
Tara charges 15 dollars per hour
Lisa charges 1 dollar less each hour, so Lisa offers a better deal.
Hope this helps :)
Have an awesome day!
Insert a monomial so that the result is an identity.
(5x+...)(5x-...)=25x^2-0.16y^4
Answer:
Step-by-step explanation:
\boxed { \pink { m^{2} - n^{2} = ( m + n )( m - n ) }}
A. ( 2a + \_ )( 2a - \_ ) = 4a^{2} - b^{2}
RHS = 4a^{2} - b^{2} \\= (2a)^{2} - b^{2} \\= ( 2a + \pink {b} )( 2a - \pink {b} )
B. ( 5x + \_ )( 5x -\_ ) = 25x^{2} - 0.16y^{4}
RHS = 25x^{2} - 0.16y^{4}\\= (5x)^{2} - (0.4y^{2})^{2} \\= ( 5x +\pink {0.4y^{2} })( 5x - \pink { 0.4y^{2}} )
if 45% of a number is 54,what is 65% of the number?
Answer:
78
Step-by-step explanation:
Let the number be y
45/100 * y = 54
y = 120
The number is therefore 120
Hence, 65% of 120 is 78
help i give 5 stars and a crown
Answer:
A. 82°
B. 144°
C. 75°
D. 150°
E. 241°
F. 80°
Step-by-step explanation:
A circle is 360°
A. 360 - 278 = 82 °
B. 360 - (124 + 92) = 144 °
C. 360 - (255 + 30) = 75 °
D. 360 - (118 + 30 +62) = 150 °
E. 360 - (21 +41 + 57) = 241 °
F. 360 - (30 + 60 + 80 + 110) = 80°
Also, the 80° is congruent so it's the same on both sides.
help please and thankssssssssssssssss
Answer:
the fourth one
trapezoid has four(4) sides
Which equation has the solution x = 5?
Select each correct answer.
18−2x=9
32−4x=12
11 + 6x = 22
25/x+4=9
x/5+5=6
3x + 1 = 9
Answer:
2nd one: 32-4x=12
4th one:25/x+4=9
5th one : x/5+5=6
Step-by-step explanation:
Substitute x and see if you get the same answer
Answer:
B. 32 − 4x =12
D. 25/x + 4=9
E. x/5 + 5 =6
what is the simplified form of 3 and squared root of 135
Answer:
√135 135. Rewrite 135 135 as 32 ⋅15 3 2 ⋅ 15. Tap for more steps... Factor 9 9 out of 135 135. √ 9 ( 15) 9 ( 15) Rewrite 9 9 as 3 2 3 2. √ 3 2 ⋅ 15 3 2 ⋅ 15.
Mark as brainliest Say thanks on avatarsay thanks on answerrate the star at least 3 -- 5Dont have a good dayhave a great day!
Answer:
14.62
Step-by-step explanation:
3 and (+) square root of 135
3 + square root of 135 (11.62)
3 + 11.62
14.62
Hope this helps!
Solve for x ( 5 x − 1 = 2 ) Give your answer as a fraction in its simplest form.
Answer: x is 3/5
Step-by-step explanation: your welcome
An airplane is flying at an altitude of 33,000 feet. It needs to reduce its altitude by 6% to avoid some turbulence. After it passes the turbulence, it increases its altitude by 5000 feet.
What is the final altitude of the airplane?
Enter your answer in the box.
Step-by-step explanation:
100% = 33,000 ft
1% = 100%/100 = 33000/100 = 330 ft
6% = 1% × 6 = 330 × 6 = 1980 ft
that means the plane has to go down 1980 ft to
33,000 - 1980 = 31,020 ft
and then it goes up by 5000 ft :
31,020 + 5000 = 36,020 ft
that is the final altitude.
Answer:
The final altitude of the airplane is 36,020
Step-by-step explanation:
I took the test
Please help me with number 1 and 3!!!?!???? Pleaseee
I need help and i need to solve for x
How many solutions to this
Answer:
one
Step-by-step explanation:
one equation
tanks Please brianlist
what is the area of the triangle
Answer:
16 square units
Step-by-step explanation:
The area of a triangle is given by the formula ...
A = 1/2bh
Here, it is convenient to choose the base as the vertical segment between y=-5 and y=3. Its length is 3 -(-5) = 8 units.
The height of the triangle is the difference in x-coordinates between that segment and the opposite vertex: 6 -2 = 4.
Then the area is ...
A = 1/2(8)(4) = 16 . . . square units
Question 2 (Multiple Choice Worth 1 points)
(02.04 LC)
What is the equation of a line that contains the points (0,8) and (8,8)?
Oy=0
Ox=0
Ox=8
Oy=8
Question 3 (Multiple Choice Worth 1 points)
(02.04 MC)
Choose the equation that represents a line that passes through points (-6, 4) and (2,0),
Previous Question
Answer:
y = 8
Step-by-step explanation:
The line that contains points (0, 8) and (8, 8) is a horizontal line in which every point has 8 as its y-coordinate.
Equation: y = 8
y=-1/2x+1 is the equation that represents a line that passes through points (-6, 4) and (2,0)
What is Slope of Line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is
m=y₂-y₁/x₂-x₁
the equation of a line that contains the points (0,8) and (8,8)
Slope=0
We need to find the y intercept
8=b
y=8 is the equation of a line that contains the points (0,8) and (8,8)
Now let us find the equation that represents a line that passes through points (-6, 4) and (2,0).
m=0-4/2+6
=-1/2
Now find the y intercept
0=2(-1/2)+b
b=1
y=-1/2x+1 is the equation that represents a line that passes through points (-6, 4) and (2,0),
Hence, y=-1/2x+1 is the equation that represents a line that passes through points (-6, 4) and (2,0)
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2. Model with Math Marcy always sleeps fewer
than 9 hours each night and has never scored
more than 27 points in a basketball game.
A scatter plot suggests that the more sleep
she gets, the more she scores. What scales for
the axes might be best for constructing the
scatter plot?
find the perimeter of a square equal an area to a rhombus whose diagonals are 16 and 18
Answer:
48
Step-by-step explanation:
area of rhombus = Dd/2
area of rhombus = (16)(18)/2 = 144
area of square = 144
side of square = √144 = 12
perimeter of square = 4s = 4(12) = 48
You are making 20 fleece jackets for a craft fair. For each jacket, you need 1 7/8 yards of fleece. If fleece costs $9 per yard, how much money will you spend?
Answer:
$7.88
Step-by-step explanation:
Help with this question.
What is cos 45*?
Answer:
0.7071.Step-by-step explanation:
Now, this can be tricky.
But, we can use a calculator.
cos 45*= 0.7071.According to the calculator, the answer was 0.7071.
That means 0.7071 is the answer.
This image is optional. Use it for hints.
someone please help me
Step-by-step explanation:
each game of cribbage "binds" 4 people, each hand of chess 2 people.
15 games of cribbage means 15×4 = 60 people are playing. that leaves 0 people and therefore 0 games for chess.
2 games of chess means 2×2 = 4 people are playing.
that leaves 60-4 = 56 people for cribbage making 56/4 = 14 games of cribbage.
13 games of cribbage means 13×4 = 52 people are playing. that leaves 60-52 = 8 people for chess making 8/2 = 4 games of chess.
14 games of chess means 14×2 = 28 people are playing, that leaves 60-28 = 32 purple for cribbage making 32/4 = 8 games of cribbage.
0 people of cribbage means nobody is playing this game, that leaves all 60 people to play chess making 60/2 = 30 games of chess.
What is cos 30º?
A.1 divided v2
Answer:
Step-by-step explanation:
cos30°=√3/2
What is the measure of XYZ?
x
A. 136
B. 34°
C. 68°
D. 22°
Angles can be measured in degrees and radians
The measure of angle XYZ is 34 degrees
How to determine the measure of XYZFrom the question, the measure of arc XY is 68 degrees
The measure of angle XYZ is then calculated as:
Angle XYZ = 0.5 * Arc XY
This gives
Angle XYZ = 0.5 * 68
Evaluate the product
Angle XYZ = 34
Hence, the measure of angle XYZ is 34 degrees
Read more about angles at:
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a farm loan officer has a four-drawer cabinet. one drawer is 3/5 full, one drawer is 1/2 full, one drawer is 2/3 full, and one drawer is 3/4 full. can the contents be combined into three drawers? explain.
Answer:
Yes
Step-by-step explanation:
3/5, 1/2, 2/3, and 3/4 must be 3 or lower if added together.
We need to find the LCM of the denominators. The LCM, or lowest common multiple, of the denominators is 60. So we have to multiply the fractions by the LCM and add them up.
36 + 30 + 40 + 45 = 151.
60 x 3 = 180.
151 isn't up to 180, so yes. And also, if you divide 151 by 60, you would get 2.52 approximately.
Jamie has a rectangular pool that has a length of 12 feet and a
perimeter of 40 feet. What is the width of the pool?
Answer:
8 feetStep-by-step explanation:
Given,
Perimeter of a rectangular pool (P) = 40 feet
Length of the pool (l) = 12 feet
Let,
Width of the pool be = w
As we know,
Perimeter of a rectangle = 2(length + width)Therefore,
By the problem,
=> 2(l + w) = P
[On substituting the values of l = 12 and P = 40]=> 2(12 + w) = 40
[On multiplying 2 with 12 and w]=> 24 + 2w = 40
[On subtracting both sides with 24]=> 24 - 24 + 2w = 40 - 24
[On Simplifying]=> 2w = 16
[On Dividing both sides with 2]=> [tex]\frac{2w}{2}[/tex] = [tex]\frac{16}{2}[/tex]
[On Simplifying]=> w = 8
Hence,
The required width of the pool is 8 feet. (Ans)
Answer:
The Width of the pool would be 8 feet/ft. .
Step-by-step explanation:
According to the Question Given:
Perimeter = 40 ft/feet
Length of the pool = 12 ft/feet
To Find:
The width/breadth of the pool
Solution:
We know that,
[tex] \boxed{\tt \: Perimeter \: of \: Rectangle = 2(l + b)}[/tex]
So Put their values accordingly:
Perimeter of The Rectangle = 40Length[L] = 12[tex]\longrightarrow \tt \: 40 = 2(12 + b)[/tex]
We got an equation.By this method we can easily find the breadth/width of the pool.
Solve this equation:
[tex]\longrightarrow \tt40 = 2b + 24[/tex]
Flip the equation:
[tex]\longrightarrow \tt2b + 24 = 40[/tex]
Transpose 24 to the RHS[remember to change its sign]:[tex]\longrightarrow \tt2b = 40 - 24[/tex]
Simplify:[tex]\longrightarrow \tt2b = 16[/tex]
Divide both sides by 2:
[tex] \tt\longrightarrow \cfrac{2b}{2} = \cfrac{16}{2} [/tex]
Use Cancellation method and cancel LHS and RHS:[tex]\tt\longrightarrow \cfrac{ \cancel2 {}^{1} b}{ \cancel2} = \cfrac{ \cancel{16} {}^{8} }{ \cancel2} [/tex]
[tex]\longrightarrow \tt1b = 8[/tex]
[tex]\longrightarrow \tt{b} =\boxed{\tt 8 \: feet}[/tex]
Hence, the breadth/width of the pool would be 8 ft./feet .
[tex] \rule{225pt}{2pt}[/tex]
I hope this helps!
Can anyone help me with this problem
Find the 65th term in the following arithmetic sequence
7,15,23,31
Answer:
519
Step-by-step explanation:
an = 8n - 1
a65 = 519
final answer is 519
Simplify 3 y − 2 y + 3 − y + 5
Answer:
8
Step-by-step explanation:
3y - 2y + 3 - y + 5
y + 3 - y + 5
3 + 5
8
hope this helps :]
Answer:
8
Step-by-step explanation:
3y - 2y + 3 - y + 5
(3y - 2y - y) + (3 + 5)
0 + 8
8
Hope this helps!
c) The area of a rectangle is 70 cm and it is 7 m broad. (i) Find its length (ii) Find its perimeter
Answer:
34cm
Step-by-step explanation:
[tex]Solution,\\\\Area=70cm^{2} \\\\Breadth(b)=7cm\\\\Now,\\\\Length=\frac{Area}{Breadth}\\\\Length=\frac{70cm^{2} }{7cm} \\\\Length=10cm\\\\Again,\\\\Perimeter=2(l+b)\\\\Perimeter=2(10cm+7cm)\\\\Perimeter=34cm[/tex]
The required length and perimeter of the rectangle are 7 cm and 34 cm respectively.
The rectangle is 4 sided geometric shape whose opposites are equal in lengths and all angles are about 90°.
Here,
Let the length of the rectangle be l,
Now,
According to the question,
Area of the rectangle, = l × w
70 = l × 7
l = 70 / 7
l = 10 cm
Now,
Perimeter of the rectangle = 2[l + w]
= 2 [10 + 7]
= 34 cm
Thus, the required length and perimeter of the rectangle is 7 cm and 34 cm respectively.
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2+22+22+22+22+22+22+22+22+22+22+22+2
Answer:
246
Step-by-step explanation:
What question makes you do this much but what ever
8
Find the volume of the prism.
6 m
7 m
8 m
V=
m
Solution:
Given:
L = 7 mB = 8 mH = 6 mVolume of rectangular prism: L x H x B
Use the formula to find the volume.
Finding the volume:
Volume of rectangular prism = L x H x B=> Volume of rectangular prism = 7 x 6 x 8=> Volume of rectangular prism = 336 m³The volume of the rectangular prism is 336 m³.
Answer:
336 meters^3
Step-by-step explanation:
336 meters^3
volume = length x width x height
in this case it would be
6 x 7 x 8 = 336