Answer:
RS = 47 units
Step-by-step explanation:
The midsegment is half the sum of the parallel bases, that is
3x + 5 = [tex]\frac{1}{2}[/tex] ( 2x + 15 + 6x - 37)
3x + 5 = [tex]\frac{1}{2}[/tex] (8x - 22) = 4x - 11 ( subtract 4x from both sides )
- x + 5 = - 11 ( subtract 5 from both sides )
- x = - 16 ( multiply both sides by - 1 )
x = 16
Thus
RS = 2x + 15 = 2(16) + 15 = 32 + 15 = 47
Solve the System of Equations -4x + 9y = 14 12x - 10y = - 8
Answer:
(1, 2)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtract Property of EqualityAlgebra I
Solving systems of equations using substitution/eliminationStep-by-step explanation:
Step 1: Define Systems
-4x + 9y = 14
12x - 10y = -8
Step 2: Rewrite Systems
-4x + 9y = 14
Multiply everything by 3: -12x + 27y = 42Step 3: Redefine Systems
-12x + 27y = 42
12x - 10y = -8
Step 4: Solve for y
Elimination
Combine 2 equations: 17y = 34Divide 26 on both sides: y = 2Step 5: Solve for x
Define equation: 12x - 10y = -8Substitute in y: 12x - 10(2) = -8Multiply: 12x - 20 = -8Isolate x term: 12x = 12Isolate x: x = 1Step-by-step explanation:
HERE,
two equation are,
●-4x+9y=14••••••••••••(equation I)
●12x-10y=-8•••••••••••(equation II)
First multiplying 3 in equation I
we get,
[tex]\bold{3×(-4x+9y=14) }[/tex]
=[tex]\bold{ -12x+27y=42 }[/tex]••(equation III)
Then,
we combine the equationii and equation III.
we get that,
[tex]\bold{12x-10y-12x+27y=-8+42 }[/tex]
[tex]\bold{\cancel{12x}-10y\cancel{-12x}+27y=-8+42 }[/tex]
[tex]\rightsquigarrow[/tex] [tex]\bold{17y=34 }[/tex]
[tex]\rightsquigarrow[/tex] [tex]\bold{ y=\dfrac{34}{17} }[/tex]
[tex]\rightsquigarrow[/tex] [tex]\boxed{ y=2 }[/tex]
Then,
put the value of y in equation II.
WE get,
[tex]\rightsquigarrow[/tex] [tex]\bold{12x-10×2=-8 }[/tex]
[tex]\rightsquigarrow[/tex] [tex]\bold{ 12x-20=-8 }[/tex]
[tex]\rightsquigarrow[/tex] [tex]\bold{ 12x=-8+20 }[/tex]
[tex]\rightsquigarrow[/tex] [tex]\bold{ 12x=12 }[/tex]
[tex]\rightsquigarrow[/tex] [tex]\bold{ x=\dfrac{12}{12} }[/tex]
[tex]\rightsquigarrow[/tex] [tex]\boxed{ x=1 }[/tex]
So,
solution of the two equation (-4x+9y) and (12x-10y=-8) is (1,2)
Write the equation of the line pleaseeee
Answer:
y = 2/3x -1
Step-by-step explanation:
y intersect is -1 as that's where the line passes the y axis
the slope can be found by finding two points and using the slope formula (y-y)/(x-x)
what's the length of line AB if point A is at (6,3 and point B is at (8,-8)
Answer:
Step-by-step explanation:
Solution,
Here,
A=(6,3) (x1,x2)
B=(8,-8) (y1,y2)
AB=?
Now,
(AB)^2=(x2-x1)^2+(y2-y1)^2
Now putting the value of x1,x2,y1,y2
=(3-6)^2+(-8+8)^2
= (-2)^2+(0)^2
= (-4,0)
AB=(-4,0)
Hope it helped you.
Plz mark me brainliest.
A teacher is taking a group of students on a field trip to a living museum. The
cost of the teacher's ticket is $9. Student tickets cost $4. It costs $57 for
everyone to get into the museum. How many students were on the field trip?
An equiangular triangle has one angle of measure 2x+8. What is x?
Answer:
[tex]x=26\\[/tex]
Step-by-step explanation:
The sum of the interior angles of a triangle add up to [tex]180^{\circ}[/tex]. Therefore, an equiangular triangle will have each of its angles equal to [tex]60^{\circ}}[/tex]. We can then set up the following equation:
[tex]2x+8=60, \\2x=52, \\x=\fbox{$26$}[/tex].
Answer: x=10
Step-by-step explanation:
Peter runs laps on the school track every afternoon. He wants to run no more than 60 minutes a day. He can consistently run each lap in 1.5 minutes. Which inequality best represents the situation and represents x, the greatest number of laps Peter could run in a day?
Answer:
1.5x ≤ 60
Step-by-step explanation:
He wants to run no more than 60 minutes a day
No more than means Less than or equal to with the inequality sign of ≤
Each lap = 1.5 minutes.
The greatest number of laps Peter could run = x
Therefore, the inequality that best represents the situation and represents x, the greatest number of laps Peter could run in a day
1.5 × x ≤ 60 minutes
= 1.5x ≤ 60
Solving for x
1.5x ≤ 60
x ≤ 60/1.5
x ≤ 40 laps
Hence, the Greatest number of laps = x that he can run is 40 laps
Andre is choosing an outfit from 2 pants, 2 shirts, and 2 pairs of shoes. Pants Shirts Shoes Jeans Polo Sneakers Black pants T-shirt Flip-flops How many possible combinations are there? There are possible combinations.
Answer:
8 Possible Combinations
Step-by-step explanation:
Trust me my guy
Answer:
8
Step-by-step explanation:
Kim drives 156 miles from rotherman to London she drives the average speed of 60 miles per hour
Answer:
2 hours and 36 minutes
Step-by-step explanation:
156/60 hours=2.6 hours. i.e. it takes her 2 hours and 36 minutes to reach from Rotherham to London
Does anyone know how to work this out
Answer:
1/19
Step-by-step explanation:
y = number of yellow cubes
3y = number of blue cubes
5(3y) = number of green cubes
total number of cubes = 19
P(yellow) = 1/19
whats the answer to 2 x 2 x 4 x 4 x 4 x 5 x 5 x 5 x 5 use expoments for the answer
Answer:
160,000
Step-by-step explanation
[tex]2^{2} X 4^{3} X 5^{4}[/tex]
2 x 2 = 4
4 x 4 x 4 = 64
5 x 5 x 5 x 5 = 625
4 x 64 x 624 = 160,000
Describe the transformation that occurred
h(x) = 1/5f(x)
Answer:
Step-by-step explanation: To find the transformation, compare the function to the parent function and check to see if there is a horizontal or vertical shift, reflection about the x-axis or y-axis, and if there is a vertical stretch.
Vertical compression
PLZ I NEED HELP!!A tree is 12 feet tall and casts a shadow 9 feet long. A building nearby casts a shadow that measures 24 feet. How tall is the building?
A. 24
B. 21
C. 27
D. 32
Answer:
D. 32 feet
Step-by-step explanation:
A tree is 12 feet tall and casts a 9-foot shadow.
The shadow is 3/4 the length of the tree (9/12 = 3/4).
We know the shadow of a nearby building is 24 feet long.
That would be 3/4 of the height of the building.
So, fidn the reciprocal of 3/4 (4/3) and multiply by 24.
24/1 * 4/3
Cross-cancellation
8/1 * 4/1
8 * 4
The building is 32 feet tall, which is D.
Help please!!!!!!!!!
Answer:
440 square inches
Step-by-step explanation:
5 x 8 x 11 = 440
estimate and find the quotion in 281 divided by 9
Dora's family bought a bag of oranges. There are 6 people in Dora's family. If they ate 3/8 of the oranges, what fraction of the bag of oranges remained?
Answer:
Step-by-step explanation:
the bag of oranges is 8/8
they ate 3/8
8/8-3/8=5/8 left
х²+хy-2y²=0
ху+x-y=1
Answer:
I think if you use the differentiate formula then it will work
Solve 2a−5≤13.
help please
Answer:
a≤9
Step-by-step explanation:
Answer:
a ≤ 9
Step-by-step explanation:
2a-5 ≤ 13
add +5 then divide both sides by 2 to isolate the variable
step 1: 2a-5+5 ≤ 13+5 → 2a ≤ 18
step 2: 2a/2 ≤ 18/2 → a ≤ 9
Step by step explanation
Answer: x = 4
Step-by-step explanation:
x/2=10/5
Multiply both sides of the equation by 2.
2⋅ x/2 = 10 /5 ⋅ 2
Simplify both sides of the equation.
Cancel the common factor of 2.
Rewrite the expression.
x= 2 ⋅ 10/5
Divide 10 by 5.
x= 2 ⋅ 10/5
Multiply 2 by 2.
x = 2 ⋅ 2
x = 4
please give brainiest :)
help me plz plz will mark branliest
Step-by-step explanation:
On the first question, you would want to put the equation together. To find x you will put 2x+6=40. Subtract 6 on both sides and you will find your x value.
HELP ASAP
1.Which number or symbol is a variable in the following algebraic expression?
5 + 4y x 32
a 5
b 4
c y
d 2
2.Convert the following word phrase to an algebraic expression:
9 less than a number.
a x - 9
b 9 -x
c 9 ÷ x
d x ÷ 9
Answer: 1.C 2.B
Step-by-step explanation:
PLSS PLS HELP ITS DUE SOON IM DESPERATE
Answer:
The answer is A
Step-by-step explanation:
Use the form y = mx + b for your answer. Since 32 is the starting point, it will represent b. b represents the y intercept. Since the temperature decreases every hour, the second part of the equation would -2h. So, if you put it together, the final equation is y = -2h + 32.
a fair 6 sided dice is rolled twice, what is the probability it will land on a 1 both times?
Answer:
The answer is 1/36
Step-by-step explanation:
The probability that it will land on 1 at any time is 1/6
So for the first time we have 1/6
For the second time, we have 1/6
For the both times, we have
1/6 * 1/6 = 1/36
A hot air balloon is traveling at a altitude of 2400 feet. It begins to descend at a rate of 75 per minute. What is an expression that represents the rate of descent for the hot air balloon
Answer:
y=-75x+2400
Step-by-step explanation:
y is the height
-75 is the rate of change so you put that before your x
2400 is your starting value/y intercept
not very good explanation but hope this helps
What fraction goes in the box to make it correct?
4/11×_=1
Step-by-step explanation:
[tex] \frac{11}{4} [/tex]
[tex] \frac{4}{11} \times \frac{11}{4} = \frac{44}{44} = 1[/tex]
if it's helpful ❤❤❤
THANK YOU.
pls helppppppppppp
Hayden had 2 1/2 gallons of water in his watering can. The seed packet said to use 1/4 of a gallon for peppers and 5/8 of a gallon for tomatoes. Hayden then used some of the water for lettuce. If Hayden had 3/4 gallons of water left over, about how much water did he use for lettuce?
Answer:
okkk
Step-by-step explanation:
Answer:
I'm gonna say either 3/4 or 7/8. Don't quote me on it tho?!
Step-by-step explanation:
Hand me over the answers of B and C or perish
It took 4 hours to drive 240 miles. At this rate, how long does it take to drive 150 miles?
Answer:
The correct answer is 11/2.
Answer:2 hours and 30 minutes
Step-by-step explanation:
they drive 60 miles in a hour.
Describe the possible lengths of the third side of the triangle if the lengths of the other two sides are 11 feet and 18 feet.
Answer: [tex]6ft < x < 30ft[/tex]
6ft is less then x and x is less then 30ft
Step-by-step explanation:
The possible length of the third side is 7 < x < 29.
What is a Triangle?Polygon which has three sides and three vertices are called a triangle.
The sum of all the angles of the triangle is 180°.
Given:
The lengths of the other two sides of a triangle are 11 feet and 18 feet.
Let the third side's length is x feet.
The sum of the two sides of the triangle is always greater than the length of the third side of the triangle.
That means,
18 + 11 > x.
And 11 + x > 18.
So, we have a possible choice,
11 + 18 < x
Simplifying,
29 < x.
Arranging in better terms,
x > 29.
Another possible choice,
18 -11 < x
7 < x
Combining both inequalities,
we get,
7 < x < 29.
Therefore, 7 < x < 29.
To learn more about the triangle;
https://brainly.com/question/2773823
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Question 2
5x + 2y = 4
9x + 2y = 12
Answer:
x-intercept(s): ( 4 3 , 0 ) y-intercept(s): ( 0 , 6 )
Step-by-step explanation:
Step-by-step explanation:
5x+2y =4
5x= 4-2y
x= 4-2y/5
The difference of two number is 3. Their sum is 13. Write and alive a system of equations to help find the numbers