Answer:
base: 22 37/54; sides: 56 17/108
Step-by-step explanation:
If we let x represent half the length of the base, and y represent the length of the side, then we have ...
2x +2y = 135 . . . . . perimeter relation
x^2 +55^2 = y^2 . . . . Pythagorean theorem relation
Solving for y and substituting into the second equation, we have ...
y = 135/2 -x
x^2 + 3025 = (67.5 -x)^2
3025 = -135x +4556.25 . . . . . . expand, subtract x^2
135x = 1531.25 . . . . . . . . . . add 135x -3025
x = 1531.25/135 = 11 37/108
The length of the base is double this value, 22 37/54.
The length of each side is 67.5 -11 37/108 = 56 17/108.
__
Check
The perimeter is the base plus two side lengths:
22 37/54 + 2(56 17/108) = (22 +112) +37/54 +17/54 = 134 +1 = 135.
Tell whether each equation has one, zero, or infinitely many solutions.
Solve the equation if it has one solution.
3(y - 2) = 3y - 6 PLZZZZZZ HELPPP
3(y - 2) = 3y - 6
3y - 6 = 3y - 6
3y - 3y = - 6 + 6
0 = 0
It has ∞ solutions.
0 = 0, so 'y' can be replaced with any value & we'll still get the LHS & RHS as 0. So, the equation has ∞ solutions.
_____
Hope it helps ⚜
Answer:
Infinitely Many Solutions
Step-by-step explanation:
3(y - 2) = 3y - 6
3y - 6 = 3y - 6 Distribute 3.
0 = 0 Combine the like terms.
Since we get the end result of 0 = 0, which is a true mathematical statement (i.e. 0 is equal to 0), we can see that regardless of the value of x, the original equation is true. So we have infinitely many equations.
Or, we can see the 2 parts as equations for 2 separate graphs. In other words, assume that we have 2 lines: y = (3x - 2) and y = 3y - 6. Since they both have the same m value (slope) and b value (y-intercept), the 2 lines are actually overlapping. So we have infinitely many solutions because the 2 equations represent the same linear graph.
What's the answer please help me!
Answer:
0.62
Step-by-step explanation:
10 to the 3rd power is 1,000. Since 1,000 is greater than 620, it would become a decimal. Move the decimal behind 620 3 places. It would become:
1st move: 620 -> 62.0
2nd move: 62.0 -> 6.20
3rd move: 6.20 -> 0.62
i need help w this pls
Answer:
see explanation
Step-by-step explanation:
TQ and TR are perpendicular bisectors , so
QO = QN = 3.75
RP = OR = 3.4
The circumcentre T is equally distant from the triangle's 3 vertices, then
PT = QT = 4.5
On a map, 1 cm represent 250 km. How many kilometres does 7 cm represent?
Answer:
1750
Step-by-step explanation:
Just multiply 250 by 7. There are 250 km in 1cm, so in 7 centimeters, there will be 7 times as much as in 1 centimeter.
Please help, im stuck
Solve 6[9 - (9x - 8)] + 3x = 0.
A. 2
B. -5/4
C. -32/47
D. 2/15
E. None of the above
Answer: 2
Step-by-step explanation:
distribute: 6 [ 9 − 9 + 8 ] + 3 = 0
add the numbers: 6 [ 1 7 − 9 ] + 3 = 0
rearrange terms: 6 [ − 9 + 1 7 ] + 3 = 0
distribute again: − 5 4 + 1 0 2 + 3 = 0
combine like terms: − 5 4 + 1 0 2 + 3 = 0
Subtract 102 from both sides of the equation: − 5 1 + 1 0 2 − 1 0 2 = 0 − 1 0 2
simplify:− 5 1 = − 1 0 2
Divide both sides of the equation by the same term: -51x/-51 = -102/-51
simplify: 2
i hope this helps! ^^
PLSSSS HELP I WILL GIVE BRAINLIEST
Which statements are true about the ordered pair (7, 19) and the system of equations?
{2x−y=−5x+3y=22
Select each correct answer.
The ordered pair (7, 19) is a solution to the first equation because it makes the first equation true.
The ordered pair (7, 19) is a solution to the second equation because it makes the second equation true.
The ordered pair (7, 19) is not a solution to the system because it makes at least one of the equations false.
The ordered pair (7, 19) is a solution to the system because it makes both equations true.
Answer: The ordered pair (7, 19) is not a solution to the system because it makes at least one of the equations false.
Step-by-step explanation:
In the ordered pair (7,19), 7 is the x and 19 is the y. Plug those in and multiply.
2(7)-19=-5
-5=-5
7+3(19)=22
64 doesn't =22
SO, one part of the equation is wrong making the ordered pair wrong.
Leo wants his bowling mean to be at least 150. His scores are shown. 138, 157, 146, 129, 151
What is the lowest score for Leo’s mean to be 150.0?
(1 point)
121
146
154
179
The lowest score for Leo’s mean to be 150.0 is 179.
Mean can be described as the average of a set of numbers.
Mean = sum of number / total numbers
In order to determine the lowest score Leo can have so his mean can be at least 150, the sum of his current scores has to be determined.
Sum of scores = 138 + 157 + 146 + 129 + 151 = 721
The second step is to determine the sum of scores when his mean is 150
Sum of scores when mean is 150 = 150 x 6 = 900
Least score = 900 - 721 = 179
To learn more about mean, please check: https://brainly.com/question/12528427
Answer:
179
Step-by-step explanation:
One it says he wants his score to be at least 150, and then it shows what his scores are which is; 138, 157, 146, 129, 151, then it gives the options of
121
146
154
an 179
then it says what is the lowest score for Leo's mean to be 150.0
and the lowest that it can be is the answer which is 179
Hope this helped, if yes pls put thanks :D
Simplify 3a(2a+7)-2a²
How do I find the domain and range of this?
Step-by-step explanation:
identify the domain and range of functions is by using graphs. Because the domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the x-axis. The range is the set of possible output values, which are shown on the y-axis.
Regan cycles 78 miles in 6 hours.
His average speed for the first 30 miles is 15 mph.
Work out Regan's average speed for the last 48 miles.
Answer:
12 mph
Step-by-step explanation:
First 30 miles while cycling at 15 mph. This means he spent 2 hours here.
Thus the 4 hours on the last 48 miles.
Average speed = distance / time
Average speed = 48 miles / 4 hours
Average speed = 12 mph
Therefore Regan's average speed is 12 mph for the last 48 miles.
What is the expected value of X?
X 3 4 5 7 9
P 0.2 0.1 0.25 0.05 0.4
6.2
6.05
5.95
5.6
Multiply each X by its corresponding probability P, then add up them up.
E[X] = 3•0.2 + 4•0.1 + 5•0.25 + 7•0.05 + 9•0.4
⇒ E[X] = 6.2
Pentagon ABCDE and pentagon A’B’C’D’E are shown on the coordinate plane below:
the first one ((x+8, y+2), r x-axis)
What is the value of |-7| - |3|
Answer:
4 is the correct answer
Step-by-step explanation:
|-7| = 7
|3| = 3
7 - 3 = 4
Over the summer, Regan started studying Russian with an app and completed 5 lessons. Now that school has started, she will work more slowly, completing 1 lesson per month.
Write an equation that shows how the total number of lessons Regan has completed, y, depends on how many months of the school year have passed, x.
Answer:
y=x+5
Step-by-step explanation:
if you mean how many she completed INCLUDING the 5 over the summer
For a friend who's struggling
"Omar and Deb each have a digital music player. Deb has 37 more songs on her player than Omar on his player. Write an expression in simplest form that represents the total number of songs on both players.
Will give brainliest!
varables:
O= omar songs\
S= total # of songs
equation:
2o+37= S
Hoped that helped:)
I WILL GIVE 30 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT
Answer:
11
Step-by-step explanation:
Givens:
AD = 8
AC = 4y - 28
y = ?
First we can see that AD and DC are equal.
-note AD and AC are not equal
But 2 times the length of AD should give you AC so.....
2 x length of AD = 16 = AC
We can use the equation:
16 = 4y - 28
Solve for y
16 + 28 = 4y
44 = 4y
y = 11
Therefore value of y is 11.
what is the equation of a line that contains points (5,3) and (0, -1)
Answer:
y = [tex]\frac{4}{5}[/tex] x - 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 )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (5, 3 ) and (x₂, y₂ ) = (0, - 1 )
m = [tex]\frac{-1-3}{0-5}[/tex] = [tex]\frac{-4}{-5}[/tex] = [tex]\frac{4}{5}[/tex]
The line crosses the y- axis at (0, - 1 ) ⇒ c = - 1
y = [tex]\frac{4}{5}[/tex] x - 1 ← equation of line
How many degrees in 0.375
of a full turn?
Answer:
135°
Step-by-step explanation:
A full turn is 360°, so 0.375 of a full turn is ...
0.375 × 360° = 135° . . . . degrees in 3/8 turn
what's 0.084507042 rounded
Answer:
i belive by rounding you get 1
Step-by-step explanation:
Hello! so is this correct? is 16.093 x 10 = 5,000? or278,300? please help me if you see this. Thanks.
Answer:
160.93
Step-by-step explanation:
I'm not that great at math so forgive me if I'm wrong, but from my knowledge the answer would be 160.93 since you're multiplying 16.093 to 10.
hope this helped! :)
Under stand place value
Answer:
What do you need help with?
Step-by-step explanation:
I'm confused because you didn't include a question.
If f(x) = -3 and g(x) = 4x2 + x - 4, find (f+9)(x).
2
A.
X
-1
A. 4x2 + 2x-1
B. 4x2 +
-7
C. 4x2 +2x-1
7
X-1
D. 6x2 - 7
Step-by-step explanation:
(f+g)(x) = f(x) + g(x) =
x/2 - 3 + 4x² + x - 4 = 4x² +3x/2 - 7
so, yes, B is the right answer.
PLEASE HELP 50 POINTS I WILL GIVE BRAINLIEST
Answer:
See image
Step-by-step explanation:
In both of these the words "more than" mean adding and not the symbol >
difference means subtracting
See image
Can someone Please help me on this math problem
Answer:
2
Step-by-step explanation:
each time that x gains 1, y gains 2
2/1=2
URGENT! WILL MARK BRAINLIEST!!
Write an inequality that represents the graph.
(it’s #4)
Answer:
x > 2
Step-by-step explanation:
Let x = unknown number
The dot is at 2.
The dot is also an open circle meaning that 2 is not included. When the dot is an open circle we use < or > rather than ≤ and ≥
The line is going to the right towards the larger numbers.
This means that the solution to the inequality is greater than 2.
This can be represented as x > 2
Answer: x >2
Step-by-step explanation: It has an open circle and is pointing in the greater than direction. Therefore, it is written as x >2 which reads x is greater than 2. Of course, you could use any variable (letter) that you wish to choose.
Hope this helps.
Best to you!
Given: AC = 4DC, BC = 4EC
Prove: A = D
constant of proportionly in the equation 3y = 2x
Answer:
Divide both sides by 22.
\frac{3y}{2}=x
2
3y
=x
2 Switch sides.
x=\frac{3y}{2}
x=
2
3y
please help me!
ty :)
Answer:
5
Step-by-step explanation:
The distance between the points in RISE/RUN is 10/2.
10/2 = 5. Your slope is 5
Hope that helps. Brainliest is appreciated
Hey y’all can u please give me the correct answer.
Step-by-step explanation:
-8 - 6x < 1
Bringing like terms on one side
-6x < 1 + 8
-6x < 9
x < 9/-6
x < 3/-2
I think the correct answer is none
HELP! I need answers to every question