Answer:
[tex]\left(x^2+4x+8\right)+\left(2x^2+5x+9\right)=3x^2+9x+17[/tex]
Step-by-step explanation:
Given the expression
[tex]\left(x^2+4x+8\right)+\:\left(2x^2\:+5x+9\right)[/tex]
solving the expression
[tex]\left(x^2+4x+8\right)+\:\left(2x^2\:+5x+9\right)[/tex]
remove the parentheses
[tex]\left(x^2+4x+8\right)+\:\left(2x^2\:+5x+9\right)=x^2+4x+8+2x^2+5x+9[/tex]
Group like terms
[tex]=x^2+2x^2+4x+5x+8+9[/tex]
Add similar elements: x² + 2x² = 3x²
[tex]=3x^2+4x+5x+8+9[/tex]
Add similar elements: 4x + 5x = 9x
[tex]=3x^2+9x+8+9[/tex]
[tex]=3x^2+9x+17[/tex]
Therefore, we conclude that:
[tex]\left(x^2+4x+8\right)+\left(2x^2+5x+9\right)=3x^2+9x+17[/tex]
Please help me plz I need help
Answer:
a) Speed of the cyclist is (2.75/0.4) = 6.875 miles per hour.
b) It will take (5.5/6.875) = 0.8 hours to travel 5.5 miles at this rate.
Remember: Speed=Distance/TimeJessica's bank is offering her a loan with a stated rate of 4.90% interest. If the interest is compounded every two months, what will Jessica really pay for interest?
A) 4.90%
B) 5.00% THIS ONE
C) 5.01%
D) 4.96%
Must SHOW work for points
Jessica will pay 5.00% if the interest rate is compounded every two months.
What is Interest Rate?The interest rate is a proportion of the interest on the lent amount that a lender charges a borrower.
If Jessica's bank is offering her a loan with an interest rate of 4.90% interest.
Then, in a month, she will be charged;
= 4.90/100= 0.049 on the amount borrowedIn two months, she will be charged:
= 0.049 × 2 = 0.098The total amount that Jessica pays after two months is:
= (4.90 + 0.098)= 4.998%≅ 5.00%Learn more about interest rates here:
https://brainly.com/question/25793394
For what positive number is the square root of the
number the same as the number divided by 40 ?
Answer:
1600
Step-by-step explanation:
Answer:
1600Step-by-step explanation:
Let the number be x:
√x = x/40(√x)² = (x/40)²x = x²/1600x²/x = 1600x = 16000 is also a solution but we need positive integer, so its 1600
Find The Area on The Shaded region
Answer: 26.8
Step-by-step explanation:
4.5x6.4=28.8m
1.2x0.6=0.72m
1.6x0.8=1.28m
0.72+1.28=2m
28.8-2=26.8
Triangle DEF is translated 3 units up to form triangle D'E'F'and 5 units to the left to form triangle D''E'' ''F'. The coordinates of vertex F in triangle DEF are
(2, -4)
What are the coordinates of F''
Answer:
(7,-2)
Step-by-step explanation:
Solve: 2|y| – 8 = 0 PLZ HELP
Answer:
The answer is y = 4
Step-by-step explanation:
The answer is y = 4 because the y being next to the 2 means that you would multiply whatever number y is. 2 x 4 = 8 and 8 - 8 = 0. Hope this helped! :)
what is the y-intercept? B =
Answer:
60
Step-by-step explanation:
Since when x = 0 the corresponding value of y is 60. So, y-intercept (b) = 60
Which equation would provide the best estimate of 32% of 44.7?
A. The fraction is 1 over 3. • 40 = n
B. two-thirds • 45 = n
C. The fraction is 1 over 3. • 45 = n
D. two-thirds • 44 = n
Answer: There answer is 53 because of 78-25! Hope this helps!
Step-by-step explanation:
can someone help me? this is my third time asking for help with this question and i don't have a lot of time left
if there are two backyards and both of the perimeter measurements are 65ft by 45ft how many 8ft panels of fencing do you need to enclose the yards?
Answer:
So first add the perimeter lengths together.
65+45=110
Then do 110 because there are 2 backyards.
110x2= 220
Then we need to see how many 8ft panels of fencing we need for that much perimeter length so do 220/8.
220/8=27.5
You need 27 and 1/2 panels to enclose the yards.
what is the value of the z in this equation z - 18 = 21
Answer:
z = 39
Step-by-step explanation:
Given
z - 18 = 21 ( isolate z by adding 18 to both sides )
z = 39
Answer:
z = 39
Step-by-step explanation:
z - 18 = 21
Add 18 to both sides;
z - 18 + 18 = 21 + 18
21 + 18 = 39
Hence,
z = 39
Rewrite the expression as the sum of two numbers.
Forensic scientists can estimate the overall height of an adult male based on the length of the femur bone. A femur bone that is 18 inches long results in an estimated overall height of 65.85 inches. A femur bone that is 14 inches long results in an estimated overall height of 58.33 inches. Write a linear equation to represent the overall height of an adult male h based on the length of his femur bone f.
Answer:
h = 1.88f + 32.01
Step-by-step explanation:
To find the linear equation, we first find the gradient of the linear equation from
(y₂ - y₁)/(x₂ - x₁) = m and using the values of the length of femur and overall height respectively, where x₁ = 18 inches and y₁ = 65.85 inches and x₂ = 14 inches and y₂ = 58.33 inches
So, (y₂ - y₁)/(x₂ - x₁) = m
(58.33 - 65.85)/(14 - 18) = m
-7.52/-4 = m
m = 1.88
So, to find the linear equation, we use
(y - y₁)/(x - x₁) = m where f₁ = 18 inches and h₁ = 65.85 inches
So, (y - y₁)/(x - x₁) = m
(y - 65.85)/(x - 18) = 1.88
(y - 65.85) = 1.88(x - 18)
y - 65.85 = 1.88x - 33.84
collecting like terms, we have
y = 1.88x - 33.84 + 65.85
y = 1.88x + 32.01
Given that y = h = overall height of adult male and x = f = length of femur,
h = 1.88f + 32.01
Carlos walked to school on 14 of the 20 school days in february.Which value is equievalent to the fraction of the school days in february that carlos walked to school
Answer:
obviously he's lazy like dude come on exercise big balloon any way just divide 14 by 20
Step-by-step explanation
Answer:
divide 14 by 20
Step-by-step explanation:
I saw the other answer.
answers for the 2 boxes please :)
Answer: (0;3)
[tex]\left \{ {{x+3y=9} \atop {-2x+2y=6}} \right. \\\\\\<=>\left \{ {x+3{y=9} \atop {-x+y=3}} \right.\\\\\\=> \left \{ {{4y=12} \atop {-x+y=3}} \right.\\\\\\<=>\left \{ {{y=3} \atop {-x+y=3}} \right.\\\\\\<=>\left \{ {{y=3} \atop {-x=0}} \right. \\\\\\<=>\left \{ {{y=3} \atop {x=0}} \right.[/tex]
Step-by-step explanation:
Question in pic. Plz open the pic for the question ..corect gets branliest
Given: In Δ ABC and ΔAEC,
AB=BC and AD=CD
i) In ΔADB and CBD, we have
AD = DC [given]
AB=BC [given]
DB= DB [given]
⇒ ΔADB ≅ΔCDB [By SSS congruence rule]
⇒ ∠ADB ≅∠CDB ...(i) [Corresponding parts of congruent triangles are congruent]
Since AC is a straight line,
∠ADB+∠CDB = 180° [Linear pair]
⇒∠ADB+∠ADB=180° [from (i)]
⇒2 ∠ADB=180°
⇒∠ADB=90° =∠CDB
Also ∠ADB+∠ADE=180° [Linear pair]
⇒∠ADE=180°-∠ADB = 180°-90°
⇒∠ADE=90°, i.e. ∠ADE is a right triangle.
Similarly, ∠CDB+∠CDE=180°
⇒∠CDE=90°
ii) Now, in ΔADE and CDE
AD= CD [given]
ED=ED [Common]
∠ADE= ∠CDE = 90°
⇒ΔADE ≅ CDE [By SAS congruence rule ]
⇒AE=EC [Corresponding parts of congruent triangles are congruent]
Hence proved.
CONVERT THE FOLLOWING TERMS FROM RATIO TO FRACTION AND VICE VERSA.
Answer:
For example 3:11 =3/11
A market owner has 48 apples to sell. He sells the apples in packages of 3. Four friends buy all of the packages, with each buying the same number of packages. Let n represent the number of packages each friend bought. Which equation could be used to find the number of packages that each friend bought? n = 48 ÷ 3 ÷ 4 n = 48 ÷ 3 × 4 n = 48 × 3 × 4 n = 48 × 3 ÷ 4
Answer:
n = 48 ÷ 3 ÷ 4
Step-by-step explanation:
what goes in the blank box? hurry pls!
Answer:
your
Step-by-step explanation:
Help I don’t get it
Answer:
33
Step-by-step explanation:
Answer
[tex]\sqrt{33}[/tex]
Explanation
You can find the length of AC using the Pythagorean Theorem.
[tex]l^{2}+l^{2}=h^{2}[/tex]
The legs, are AB and AC. They are the shortest sides.
The hypotenuse is BC. It is the longest side.
You know one of the legs are 4.
You know the hypotenuse is 7.
So plug those into the equation.
[tex]4^{2} + l^{2} = 7^{2}[/tex]
Well, 4 squared is 16.
7 squared is 49.
[tex]16 + l^{2} = 49[/tex]
Well you can rearrange the equation to find the remaining leg.
[tex]49-16=l^{2}[/tex]
So now you can solve for it.
[tex]49-16=33[/tex]
[tex]33=l^{2}[/tex]
Since the leg is squared, you can undo it by using the square root.
Therefore the length of AC is the third choice.
HELP
say u are in charge of a hotel, and u must go to the store and pick up all of the digits for the doors. u have 100 rooms. how many will u need for each number? if each cost $3.50, how much money will u need?
Answer:
350
Step-by-step explanation:
The temperature of a cup of coffee decreased 26% in the first 5 minutes after it was made. The coffee starts at 190°F. What temperature is it after 5 minutes?
Answer:
it is 140.5 degrees after 5 min
What value of x satisfies the equation below? Show
your thinking
. (2p + 8) = -p + 5
Answer:
p+13 is the answer i think hope this help
Answer:
p = -1
Hope it helps you!
One method of indirect measurement involves setting up a right triangle and measuring one of the _____.
Answer:
Shadow method
Step-by-step explanation:
What is the slope-intercept form of the equation of the line that passes through (0, 5) and (2, 1)?
Answer:
-2
Step-by-step explanation:
in math, slope is identified as'm'
slope formula (m) = change in y-values
change in x-values
m = 5 - 1 = 4/-2 or -2/1
0 - 2
or
m = 1 - 5 = -4/2 or -2/1
2 - 0
I need help on Area plz
Answer:139 cm squared
Step-by-step explanation:
First separate it:
10x3
7x7
4x15
These are the 3 rectangles that make up this shape
Then multiply
10x3=30
7x7=49
4x15=60
Then add your answers
30+49+60=139cm squared
58 x 5-2
Work out the value of
hogy
54
Answer:
288
Step-by-step explanation:
58*5-2=290-2 (bodmas)
A square measures 6r centimeters on each side. Which monomial represents the area of the square?
Option 1: (6r)cm^2
Option 2: (6r^2)cm^2
Option 3: (36r)cm^2
Option 4: (36r^2)cm^2
Answer:
Option 4
Step-by-step explanation:
So we know that the area of a square is found by s^2. This means that we can just look for (6r)^2, since 6r is our side length! Let's see...We know that (6r)^2 is equal to 6^2 times r^2 because of the distributive property of exponents. Therefore, option 4 is our right answer. 36 is 6^2 and r^2 is r^2.
If you bought something in Wyoming for $54 you would be charged $3.56 in state sales tax. What is the state sales tax rate in Wyoming?
How to solve 5.25s-2.01=-8.94
Answer:
utvut
Step-by-step explanation:
hvuyvytuccu
?????????????????????????
Answer:
1 2/3k or 1.666666666...
Step-by-step explanation:
Take 5k and put it into a fraction (x/5) and put an = and then next to it you put 1/3 (since that is how far he walked). multiply the 1 by the 5 to get 5. then do 5/3. you get 1.6666666666........ or 1 2/3k
