Answers
Related Questions
[tex]factorise : - \\ \\ 4x {}^{2} - 56x + 196 \\ \\ please \: help \: [/tex]
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[tex]\large\bold{\underline{\underline{ 4( {x - 7})^{2} }}}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
[tex]4x {}^{2} - 56x + 196[/tex]
Take [tex]4[/tex] as the common factor.
[tex] = 4( {x}^{2} - 14x + 49)[/tex]
[tex] = 4( {x}^{2} - 7x - 7x + 49)[/tex]
Taking [tex]x[/tex] as common from first two terms and [tex]7[/tex] from last two terms, we have
[tex] = 4 \: [ x(x - 7) - 7(x - 7) ][/tex]
Taking the factor [tex](x-7)[/tex] as common,
[tex] = 4(x - 7)(x - 7)[/tex]
[tex] = 4( {x - 7})^{2} [/tex]
[tex]\bold{ \green{ \star{ \red{Mystique35}}}}⋆[/tex]
Q14SIMPLIFY THE EXPRESSION 6ab of2adivided by12x12ab+14a-a
Answers
Answer:
25
Step-by-step explanation:
6ab of 2a ÷ 12 × 12ab + 14a - a
= 6ab * 2a ÷ 12 × 12ab + 14a - a
= 12a²b ÷ 144ab + 13a
= 12*a*a*b / 144*a*b + 13*a
= a/12 + 13*a
= 1/12 + 13
= 1/25
£410 is divided between Gordon, Malachy & Paul so that Gordon gets twice as much as Malachy, and Malachy gets three times as much as Paul. How much does Malachy get?
Answers
Answer:
malachy got 123 euros
Step-by-step explanation:
if i m right than give me brainliest
To solve the equation t? - t = 12 by factoring, you would use
t(t - 1) = 12
Ott - 1) - 12 = 0
(t - 4)(t + 3) = 0
Answers
Answer:
it is what it is
Step-by-step explanation:
Describe fully the transformation that maps triangle a onto triangle B
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Answer:
The transformation that maps Triangle A onto Triangle B is a reflection of Triangle A across the axis "y=-1".
Step-by-step explanation:
The transformation that maps triangle A to triangle B is a reflection over the line y = -1.
Given are two triangles A, we need to determine the transformation performed to get the image of triangle A, i.e., triangle B.
The coordinates of the triangle A are:
(1, -5), (1, -2) and (3, -2)
The coordinates of the triangle B are:
(1, 3), (1, 0) and (3, 0)
By comparing the corresponding vertices, we can observe that the x-coordinates remain the same while the y-coordinates change.
The transformation that maps triangle A to triangle B is a reflection over the line y = -1.
This reflection flips the triangle across the line, resulting in the change of sign for the y-coordinates while leaving the x-coordinates unchanged.
Hence the transformation performed to obtain triangle B from triangle A is a reflection over the line y = -1.
Learn more about Reflection click;
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Identify the coefficient, variable, and exponent of the monomial: 4y3
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Answer:
The variable is y since it is a letter and is meant to hold value
The coefficient is 4 since in this equation 4 is multiplied by y
The exponent is 3 since it is after the variable
Hope This Helps!!!
Answer:
The coefficient is 4
The base and variable is y
The exponent is 3
Step-by-step explanation:
4y^3
The coefficient is 4
The base and variable is y
The exponent is 3
Point D is the incenter of triangle BCA. If mZFHG = 61°, what is the measure of 2FDG?
Answers
Answer:
122
Step-by-step explanation:
The angle subtended by an arc of a circle at the center is double times the angle subtended by it any point of the remaining part of circle
∠FDG = 2*FHG
= 2 * 61
= 122°
Answer:
122
Step-by-step explanation:
If EC = 10cm what must AC be if ABCD is a parallelogram?
5
10
or 20?
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Answer:
it is 20 vecause I say so yeah hey guts
13. Evaluate the function rule for the given value.
y = 4.2X for x = -6
Btw the x is the small exponent
Answers
Answer:
-25.2
Step-by-step explanation:
by replacing -6 on the place of x we get4.2(-6)=-25.2
Solve, (-10)-(-2)^3-(-2)x(-11)
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Answer:
−10−1(−2)^3−1(−2)(−11)
● −10−1(−8)−1(−2)(−11)
●−10+8−1(−2)(−11)
●−10+8−22
●−10+8−22
☆Answer:-24
○●○●○●○●○●○
Hope it helps
Have a great day!!
The amount (mass) of Carbon in a 24 gram sample of Methane is 18 grams. Find the percent of carbon in the sample.
Answers
The percent of carbon in the 24 gram sample of methane is 75%.
To find the percent of carbon in the sample of methane, you can use the formula:
Percent of Carbon = (Mass of Carbon / Total Mass of Sample) * 100
Given that the mass of carbon in the sample is 18 grams and the total mass of the sample is 24 grams, we can substitute these values into the formula:
Percent of Carbon = (18 grams / 24 grams) * 100
Percent of Carbon = (0.75) * 100
Percent of Carbon = 75%
Therefore, the percent of carbon in the 24 gram sample of methane is 75%.Mass of Carbon: The problem states that the mass of carbon in the sample of methane is 18 grams. This means that out of the total mass of the sample, 18 grams is specifically attributed to carbon.
Total Mass of Sample: The total mass of the sample is given as 24 grams. This represents the combined mass of all the elements present in the sample, including carbon and hydrogen.
Percent Calculation: To find the percentage of carbon in the sample, we use the formula: (Mass of Carbon / Total Mass of Sample) * 100. This formula calculates the fraction of carbon relative to the total mass of the sample and converts it to a percentage.
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Each side of a square office is 3 meters long. It will cost $44.14 per square meter to replace
the carpet in the office. What would be the total cost to replace the carpet?
Answers
Answer:
3*3*44.14$
That's the answer
Use a calculator
what is the y-coordinate of the red point?
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The y-coordinate of the red point is -3.
What are the units of the area of the figure?
C5
millimeters
4 mm
cubic millimeters
square centimeters
O square millimeters
6 mm
Answers
Answer:
the answer is square millimeters
What is the value of a+b?
A) 110
B) 125
C) 135
D) 145
Please help!!!!
Answers
A circle has 360 degrees. So you add 90 and 110 together and get 200 degrees. So to find the rest you subtract 200 from 360.
360-200=160 degrees.
To find b we divide 160 by 2 and that equals 80. So b=80.
a+b=45+80=125.
The answer is B
Dave and Ellen are newly married and living in their first house. The yearly premium on their homeowner's insurance policy is $450 for the coverage they need. Their insurance company offers a 5 percent discount if they install dead-bolt locks on all exterior doors. The couple can also receive a 2 percent discount if they install smoke detectors on each floor. They have contacted a locksmith, who will provide and install dead-bolt locks on the two exterior doors for $50 each. At the local hardware store, smoke detectors cost $7 each, and the new house has two floors. Dave and Ellen can install them themselves.
Answers
Answer:
A. 4.44years
B. 1.5years
C. Yes
Step-by-step explanation:
a. Calculation to determine how many years will it take Dave and Ellen to earn back in discounts the cost of the dead-bolts
First step is to determine the Annual discount for dead-bolts using this formula
Annual discount for dead-bolts=Discount percent × Annual premium
Let plug in the formula
Annual discount for dead-bolts=0.05 × $450
Annual discount for dead-bolts=$22.50
Now let determine the Recovery period using this formula
Recovery period=Cost of dead-bolts / Annual discount for dead-bolts
Let plug in the formula
Recovery period= (2 × $50)/ $22.50
Recovery period=$100/$22.50
Recovery period= 4.44years
Therefore Assuming their insurance rates remain the same, how many years will it take Dave and Ellen to earn back in discounts the cost of the dead-bolts will be 4.44years
b. Calculation to determine How many years will it take Dave and Ellen to earn back in discounts the cost of the smoke detectors
First step is to calculate the Annual discount for smoke alarms using this formula
Annual discount for smoke alarms=Discount percent × Annual premium
Let plug in the formula
Annual discount for smoke alarms=0.02 × $450
Annual discount for smoke alarms=$9.00
Now let determine the Recovery period using this formula
Recovery period=Cost of smoke alarms / Annual discount for smoke alarms
Let plug in the formula
Recovery period=(2 × $7) / $9.00
Recovery period=$14/$9.00
Recovery period= 1.5 years
Therefore How many years will it take Dave and Ellen to earn back in discounts the cost of the smoke detectors will be 1.5years
C. YES, Based on the information I WOULD recommend Dave and Ellen to invest in the SAFETY ITEMS, if they plan to stay in that house for about 5 years reason been that a home that is equipped with HOME SAFETY ITEMS can help to prevent UNFORESEEABLE ACCIDENTS that may occur, which is why SAFETY ITEMS is vital for every home regardless of the recovery period.
The pie chart shows how 36 pupils travel to school.
Use the pie chart to complete the table.
Bike
Walk
Travel to
school
Number
of pupils
Walk
9
120°
Car
Bus
Bus
Car
Bike
Total
36
Answers
Answer:
[tex]Bike = 7[/tex]
[tex]Car = 8[/tex]
[tex]Walk = 9[/tex]
[tex]Bus = 12[/tex]
Step-by-step explanation:
Given
[tex]Bus = 120^o[/tex]
[tex]Walk = 90^o[/tex]
[tex]Car = 80^o[/tex]
[tex]n = 36[/tex] --- pupils
Required
Determine the number of students in each category
This is calculated by dividing the measure of each category by 360; then multiply the result by the number of pupils:
So, we have:
[tex]Bus = \frac{120}{360} * 36 = \frac{1}{3} * 36 = 12[/tex]
[tex]Walk = \frac{90}{360} * 36= \frac{1}{4} * 36 = 9[/tex]
[tex]Car = \frac{80}{360} * 36 = \frac{80}{10} = 8[/tex]
To calculate the number of students that travel by bike, we have:
[tex]Car + Bike + Walk + Bus= n[/tex]
Substitute values
[tex]8 + Bike + 9+ 12= 36[/tex]
Collect like terms
[tex]Bike = 36 - 8 - 9 - 12[/tex]
[tex]Bike = 7[/tex]
Answer:
Look at picture
Step-by-step explanation:
Any help is appreciated!!!!
Answers
Answer:
D
Step-by-step explanation:
because 3x - 12y = 15 has only numbers that are divisible by 3 leaving just one single x term, and the other terms simply reduce their used numbers to still integer numbers (4 and 5).
this makes it easier to be used in the other equation.
What is the y-intercept of the line y = -3x + 7?
O A. -7
O B. 3
O C. 3
O D. 7
Answers
Answer:
Answer would be
D: 7
Tomaz realized that the tip of a second hand on a clock rotates about the center of the clock. He watched the second hand rotate around the center of the clock for 15 seconds. Which describes the rotation he observed?
270 degrees clockwise rotation
90 degrees clockwise rotation
180 degrees rotation
90 degrees counterclockwise rotation
Answers
Answer:
Step-by-step explanation:
Second hand on a clock rotates at rate 360 degrees per 60 seconds.
360 degrees - 60 sec
x degrees - 15 sec
90 clockwise rotation (none hand of a clock rotates counter-clockwise :))
Answer:
90 degrees clockwise rotation
Step-by-step explanation:
1) Enlun mixes 8 cups of pineapple juice and 14 cups of cranberry juice to make a fruit punch. Assuming he always mixes in the same ratio, write an equation that describes the proportional relationship between cups of pineapple juice (p) and cups of cranberry juice (c).
a) How many cups of pineapple juice are needed for 63 cups of cranberry juice?
Answers
Answer:
p = 4/7c
p = 36 cups when c = 63 cups
Step-by-step explanation:
Cups of pineapple juice, p = 8
Cups of cranberry juice, c = 14
equation that describes the proportional relationship between cups of pineapple juice (p) and cups of cranberry juice (c)
p = k * c
Where,
k = constant of proportionality
p = k * c
8 = k * 14
8 = 14k
k = 8/14
k = 4/7
Therefore,
p = 4/7c
How many cups of pineapple juice are needed for 63 cups of cranberry juice?
p = 4/7c
p = 4/7 * 63
= (4 * 63) / 7
= 252/7
= 36
p = 36
p = 36 cups when c = 63 cups
Can someone help me with this math homework please!
Answers
Answer:
250 + 200h = 300 + 180h
200h – 180h = 300 – 250
20h = 50
H = 2.5 credit hours
Step-by-step explanation: Hope this helps and good luck :))
Difference between DIRECT and INDIRECT ratio?
Answers
Step-by-step explanation:
In a direct proportion, the ratio between matching quantities stays the same if they are divided. (They form equivalent fractions). In an indirect (or inverse) proportion, as one quantity increases, the other decreases. In an inverse proportion, the product of the matching quantities stays the same.
Answer:
Both direct and indirect proportion are a comparison between two quantities (usually with different units).
In a direct proportion, as one quantity increases, the other also increases.
Examples would include:
If you buy more packets, it will cost more money.
If you have further to travel it will take more time.
If more people are to be fed, more food will be need.
If more people are to be transported, more cars/buses are needed.
More petrol is needed for longer distances.
Bigger area of floor will require more tiles/paint/wood.
A longer distance will need more paces to cover.
More dresses to be made will require more material.
In a direct proportion, the ratio between matching quantities stays the same if they are divided. (They form equivalent fractions).
k
=
x
y
In an indirect (or inverse) proportion, as one quantity increases, the other decreases.
If more people share a task, it will be done in less time.
Travelling at a faster speed means a trip will take less time.
If sugar is packed in smaller packets, more packets will be needed for the same mass.
For the same amount of money, a small parcel can be sent further than a bigger parcel.
If more people are being fed, food will be used up quicker.
For a fixed amount of money, as the price of presents increases, fewer can be bought.
Walking with longer strides means fewer paces are needed.
In an inverse proportion, the product of the matching quantities stays the same.
k
=
x
×
y
A hyperbola is the graph of inverse proportion.
Step-by-step explanation:
, .
A self-serve frozen yogurt shop has 8 candy toppings and 4 fruit toppings to choose from. How many ways are there to top a frozen yogurt?
hint.. correct answer is 4096
Answers
It is a special kind of segment, ray, or line that intersects a given segment at a 90∘ 90 ∘ angle, and passes through the given segment's midpoint.
Answers
Answer:
Perpendicular bisector
Step-by-step explanation:
Given
The above statement
Required
What describes the given statement?
The term that describes the given statement is the perpendicular bisector.
This is so because:
- The perpendicular bisector passes through midpoints
- The point of intersection is at the [tex]90^o[/tex]
Through any two points there is exactly one _____
space.
plane.
line.
point.
Answers
Answer:
C. Line
Is the correct answer
Find the volume of this cylinder. Use 3 for .
V = 7r2h
14 cm
2
V = T[?]?
28 cm
Hint: Plug in the value of the
radius for r. The radius is shown
directly in the diagram.
Answers
Step-by-step explanation:
V = πr²h
V = 3 × 14² × 28
v = 16464cm³
Help me please im struggling I will mark as brainliest
Answers
Answer:
In picture
Step-by-step explanation:
Brainliest please ~
Answer: y = [tex]\frac{5}{3}x +5[/tex]
Step-by-step explanation:
This is how you find the slope: [tex]slope=\frac{rise}{run}=\frac{y1-y2}{x1-x2}[/tex]
Find two coordinate points. Let's use (-3,0) and (0,5). Based on this, we know that y1 is 0, y2 is 5, x1 is -3, and x2 is 0. Plug these into the formula:
[tex]\frac{0-5}{-3+0} =\frac{-5}{-3} =\frac{5}{3}[/tex]
So, the slope is [tex]\frac{5}{3}[/tex]
The y intercept is where the line hits the y graph. We can see that the y intercept is 5 (or (0,5))
Slope intercept form: y = mx + b, m = slope, b = y intercept
Plug everything in:
y = [tex]\frac{5}{3}x +5[/tex]
One triangle has an angle of 81 degrees and the corresponding angle of the other triangle is 2x - 5 degrees, find the value of x?
Answers
Answer:
[tex]x=43[/tex]
Step-by-step explanation:
Corresponding angles are equal. It is implied that the two angles referred to in the triangles are equal, otherwise they should not be labelled as corresponding.
Therefore, we can set both equations equal to each other:
[tex]2x-5=81^{\circ}[/tex]
Add 5 to both sides:
[tex]2x=86[/tex]
Divide both sides by 2:
[tex]x=\frac{86}{2}=\boxed{43}[/tex]
8.a. Simplify: 10a+46-(3a+2b)
Answers
10a+46-(3a+2b)
= 10a + 46 - 3a - 2b
= 7a - 2b + 46