[tex] 4 {x}^{2} + 20x + 16[/tex]
Step-by-step explanation:
[tex](2x + 8)(2x + 2) \\ = 2x(2x + 2) + 8(2x + 2) \\ = 4 {x}^{2} + 4x + 16x + 16 \\ = 4 {x}^{2} + 20x + 16[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{!}}}}}[/tex]
Solve the equation to find where the treste ground levelEnter your answers from least to greatest and round to the nearest The meets the ground at and
Answer:
The trestle meets ground level at 0.875 units and 9.125 units
Step-by-step explanation:
Poorly formatted question.
The given equation is:
[tex]y = -x^2 + 10x - 8[/tex]
Required
The point where the trestle gets to the ground level
To do this, we set [tex]y = 0[/tex]
So, we have:
[tex]-x^2 + 10x - 8 = 0[/tex]
Multiply through by -1
[tex]x^2 -10x + 8 = 0[/tex]
Solve using quadratic formula:
[tex]x= \frac{-b \± \sqrt{b^2 - 4ac}}{2a}[/tex]
Where:
[tex]a = 1; b =-10; c = 8[/tex]
So, we have:
[tex]x= \frac{-(-10) \± \sqrt{(-10)^2 - 4*1*8}}{2*1}[/tex]
[tex]x= \frac{-(-10) \± \sqrt{68}}{2*1}[/tex]
[tex]x= \frac{-(-10) \± 8.25}{2}[/tex]
[tex]x= \frac{10 \± 8.25}{2}[/tex]
Solve the fraction
[tex]x= 5 \± 4.125[/tex]
Split
[tex]x= 5 + 4.125\ or\ x= 5 - 4.125[/tex]
[tex]x= 9.125\ or\ x= 0.875[/tex]
What is the range of the function in this table?
х y
1 2
2 4
3 3
4 2
a. (1,2), (2,4), (3,3), (4,2)
b. (1,2)
c. {1,2,3,4}
d. {2,3,4}
Answer:
4 is the range of the function
plzz ans quick now plzz plzz plzz
Rational
OPTION A is the correct answer
Answer:
A is the correct answer! :)
Step-by-step explanation:
have a nice day!~
Which data set has high consistency and low variability? Why?
Which type of graph would be best for showing the average yearly bonus amounts for employees in different departments of an IT company?
A. a bar graph
B. a circle graph
C. a histogram
D. a line graph
Answer:
I believe that a bar graph will help with that, because you can narrow the answers down to a bar graph and a line graph but a line graph will only show an increase and a decrease not an average, and a bar graph shows all three.
Step-by-step explanation:
I hope this helped let me know!
please help calculate
Step-by-step explanation:
the answer is in the above image
Help plsss!
find the area of the shaded region
Please help me i dont understand
Answer:
Your answer is 15.
Step-by-step explanation:
I've done this before and got it right
Answer:
Step-by-step explanation:
pythagoras theorem
a^2+b^2=c^2
15^2+8^2=missing side^2
225+64=missing side^2
[tex]\sqrt{289[/tex]=missing side
17=missing side
Maggie's brother is 7 years younger than twice her age. The sum of their ages is 32.
How old is Maggie?
Maggie is
years old
Answer:
Let M = Maggie's age
B = Brother's age
Then M + B = 32
B = 2M - 7
Then M + 2M - 7 = 32
3M= 39 = 13
M= 13
Maggie is 13.
Step-by-step explanation:
Brainly?
Which is the most economic way to lessen electric consumption?
a.Use all appliances which are not so important
b.More appliances will be used for relaxation
c.Use only appliances to the most important task in the house
d.Don’t mind the high bill anyway you have have much money to pay for bill
An electric bill shows a previous reading of 2156kwh and a present reading of 2268kwh How many kilowatt-hour was consumed?
a.102kwh
b.112kwh
c.112kwh
d.122kwh
Compute the electrical consumption of Falogme Family if the present reading in their eletric meter is 5623kwh and the previous reading is 5512kwh
a.110kwh
b.111kwh
c.112kwh
d.121kwh
Answer:
1) c. Use only appliances to do the most important task in the house.
2) b. 112kwh
3) b. 111kwh
Step-by-step explanation:
Energy can be defined as the ability (capacity) to do work and it's measured in Joules. The various forms of energy are solar energy, chemical energy, thermal energy, wind energy, nuclear energy, electrical energy, etc.
Power can be defined as the energy required to do work per unit time.
Mathematically, it is given by the formula;
[tex] Power = \frac {Energy}{time} [/tex]
Energy consumption is the total amount of power used by an electronic device per unit time and it's measured in Watt-hour or Kilowatt-hour.
Mathematically, it is given by the formula;
[tex] Energy = power * time [/tex]
Generally, the most economic way to lessen electric consumption is by ensuring only the important electrical appliances are used at all times.
2. Given the following data;
Previous reading = 2156 KWh
Present reading = 2268 KWh
To find how many kilowatt-hour was consumed;
Energy consumption = present reading - previous reading
Energy consumption = 2268 - 2156
Energy consumption = 112 KWh
3. Given the following data;
Previous reading = 5512 KWh
Present reading = 5623 KWh
To find the electrical consumption of Falogme Family;
Electrical consumption = present reading - previous reading
Electrical consumption = 5623 - 5512
Electrical consumption = 111 KWh
find the perimeter of the trapezoid
Answer:
Perimeter you add up all the sides. If it is a horizontal or vertical line, you just write those values for the side lengths. For the slanted one, I would use pythagorean theorem to solve it.
Step-by-step explanation:
If we make a right triangle using vertical and horizontal lines. We will find that a = 6, and b = 12. Find the square root of the sum of a squared plus b squared. That will tell you C. Then add C to the other 3 sides and that will give you the perimeter.
In the diagram below,
Answer:
<H = 40
Step-by-step explanation:
Complementary angles add to 90 degrees
2x+10 + x+20 = 90
Combine like terms
3x+30 = 90
Subtract 30
3x+30 -30 = 90-30
3x = 60
Divide by 3
3x/3 = 60/3
x = 20
<H = x+20 = 20+20 = 40
What is the image of the point(2,-5) after a rotation of 90 degree counterclockwise about the origin
Answer:
(-2,5)
Step-by-step explanation:
When a point is rotated counterclockwise 90 degrees about the origin then the coordinates of the image will be (x,y) → (-y,x).
Here, (5,2)→(-2,5)
Therefore , if (5,2) is rotated counterclockwise 90 degrees about the origin its image will be point (-2,5).
Hence, if (5,2) is rotated counterclockwise 90 degrees about the origin its image will be point (-2,5).
if this helped you can you slide a Brainliest :)
Pls help I need it ASAP it’s easy tho
Answer:
Step-by-step explanation:
360/2=180
5x+4x=180
9x=180
x=20
5×20:4×20
100:80
A map has a scale of 1:200000 How far is it from Belfast to Larne in Km if the distance on the map is 7.8cm
Answer:
15.6km
Step-by-step explanation:
Given the map scale 1:200000
1cm on the map represents 200000 cm on ground or in actual distance
Hence, if distance from Belfast to Larne is 7.8vm on map ;
Actual distance will be :
7.8 * 200000 = 1560000 cm
Converting to km :
Recall :
1000 m = 1km
100 cm = 1 m
Hence,
100000 cm = 1km
Therefore, (1560000 / 100000) km
= 15.6km
Hence, distance between Belfast and Larne is 15.6km
PLEASE HELP! (Look at photo)
Answer:
D.$.137.50
Step-by-step explanation:
$137.50*2=275.00+60=335
Answer: D
Step-by-step explanation:
335-60 = 275/2 = 137.5
the lenths of the sides of a triangle are in the extended ratio 5:9:10. the perimeter of the triangle is 48 cm. what are the lengths of the sides?
Answer:
What's my age im 1300
Step-by-step explanation:
Answer:
The sides are of lengths 10, 18, 20
Step-by-step explanation:
Perimeter = 48
Lengths of the sides
5:9:10 * (48/(5+9+10) = 5:9:10 * (48/24) = 10:18:20
The sides are of lengths 10, 18, 20
Please help Thank you
Answer:
[tex]c=13feet[/tex]
Step-by-step explanation:
[tex]c^{2} =a^{2} +b^{2}[/tex]
[tex]c^{2} =5^{2} +12^{2}[/tex]
[tex]c^{2} =25+144[/tex]
[tex]c^{2} =169[/tex]
[tex]c=\sqrt{169}[/tex]
[tex]c=13feet[/tex]
Hope this helps,
Have a great day ahead :)
help very easy 5th grade math im in rush please help im very tired
Answer:
D
Hope that this helps!
starts at +8 and move -3 . starts at -8 and move-3 . start at 0 and -3. starts at +4 and move -4.
Answer:
end -8 and move -3 . start at -8 and move -3
Vanessa received a $12,000 loan from the bank to buy a motorcycle. She will repay the loan to the bank with an $300 monthly payment.
Answer:
40 months
Step-by-step explanation:
It will take Vanessa 40 months or 3 years and 4 months to repay the bank their loan amount(without interest ofc).
Answer:
Time = 42 months
Step-by-step explanation:
[tex]Monthly \ payment = [rate + \frac{rate}{(1 + rate)^{month}-1}] \times principal[/tex]
Monthly payment = 300
Principal = 12000
[tex]Rate \% = \frac{300}{12000} \times 100 = \frac{30}{12} = \frac{5}{2} = 2.5[/tex]
Substituting and solving Months = 42 months
HELP ASAP IM BEING TIMEDD
Answer:
53/100
Step-by-step explanation:
First, we convert the fraction to a decimal number by dividing the numerator by the denominator:
8 / 15 = 0.533
There are two parts to the decimal number above:
Integer Part: 0
Fractional Part: 533
Now, we will make the Fractional Part just two digits (nearest hundredth) by using our rounding rules.*
In this case, Rule I applies, so 8/15 (or 0.533) rounded to the nearest hundredth in decimal format is:
0.53
Next, we will make 8/15 rounded to the nearest hundredth in fraction format. Since you can divide our decimal format answer above by 1 and keep the same value, you can make it like this:
0.53 = 0.53/1
Then, we multiply the numerator and denominator by 100 to get rid of the decimal point:
(0.53 x 100) / (1 x 100) = 53/100
That's it. 8/15 rounded to the nearest hundredth is displayed below (simplified if necessary):
53/100
Answer:
53.33% is the correct answer
PLEASEE HELP I NEED ASAP TY SM
Answer:
51
Step-by-step explanation:
166-13=153
153/3=51
51
sorry if that didn't make sense, that is just how i solved it
The histogram shows the results of a survey asking students how many windows are in their homes. How many students have less than 10 windows in their homes. Enter your answer in the box. Help ASAP I will mark brainlest
Answer:
10
Step-by-step explanation: can u tell me if am right
3. Sam has a total of 22 quarters and nickels. The coins total value is $2.90. How many quarters and nickels does he have?
Answer:
22?
Step-by-step explanation:
Find the value of x.
Answer:
D
Step-by-step explanation:
The midsegment AC is half the sum of the parallel bases, that is
AC = [tex]\frac{DF+EB}{2}[/tex] , then
x = [tex]\frac{13+9}{2}[/tex] = [tex]\frac{22}{2}[/tex] = 11 → D
Matt is saving to buy a new motorcycle. If he deposits $70 at the end of each month in an account that pays an annual interest rate of 3.5%, how much will he have in
60 months? Assume that the compounding is being done monthly
Answer:
bro I don't know. I just need the points so I can keep getting answers. good luck tho I guess.
What is the volume of the cylinder shown? Use 3.14 for pi. 4cm is the radius and 9cm is the height.
Answer:
The formula is 4cm times 9cm which is 36cm. Then times that by pi which is 113.04. The answer is 113.04
Step-by-step explanation:
Answer:
Volume - 452.16 cm
Step-by-step explanation:
First we need to find the area of the circle.
Area of a circle - (3.14)r^2
Insert the radius in the formula -
(3.14) (4)^2
3.14 x 16
50.24 is the area of the circle
Now, we have to multiply this value by the height of the cylinder in order to find the volume.
50.24 x 9 = 452.16 cm
Michael deposits $4000 into an account that pays simple interest at a rate of 6% per year. How much interest will he be paid in the first 4 years? PLEASE ANSWER QUICK
Answer:
$960
Step-by-step explanation:
simple interest = [tex]\frac{P R T}{100}[/tex]
= [tex]\frac{4000*6*4}{100}[/tex]
= $960
I = PRT
I = 4000×0.06×4= 960
Interest = 960 dollars
4 bottles of water cost 10 dollars at a music festival.
Based on the ratio, how much does 3 bottles of water cost?
Answer:
7 dollars and 50 cents, price per bottle is 2 dollars (you can get this answer by dividing 10/4) and 50 cents multiply that by 3 and you get the answer, 7 dollars and 50 cents.
Step-by-step explanation:
I believe this is correct, if not feel free to let me know and I will fix it. I'm sorry in advance if it is incorrect.
