Complete the following statement.
p(x)=x^(2)+7x+3
If is divided by x+4, the remainder is
Answer:
x + 3 with the remainder of -9
Step-by-step explanation:
___x__+__3_____
x + 4 | X^2 + 7x + 3
- (x^2 + 4x)
3x + 3
-(3x + 12)
-9
So the answer is x + 3 with the remainder of -9
Help? Show work!
Triangle PQR ≅ Triangle XYZ
PQ = 3a + 4 and XY = 5a – 12. Find a and PQ.
Given:
[tex]\Delta PQR\cong \Delta XYZ[/tex]
[tex]PQ=3a+4[/tex]
[tex]XY=5a-12[/tex]
To find:
The value of a and PQ.
Solution:
We have,
[tex]\Delta PQR\cong \Delta XYZ[/tex]
[tex]PQ\cong XY[/tex] (CPCTC)
So,
[tex]PQ=XY[/tex]
[tex]3a+4=5a-12[/tex]
Isolating variable terms, we get
[tex]3a-5a=-4-12[/tex]
[tex]-2a=-16[/tex]
Divide both sides by -2.
[tex]a=\dfrac{-16}{-2}[/tex]
[tex]a=8[/tex]
Now,
[tex]PQ=3a+4[/tex]
[tex]PQ=3(8)+4[/tex]
[tex]PQ=24+4[/tex]
[tex]PQ=28[/tex]
Therefore, the value of a is 8 and the value of PQ is 28.
please help quick time
Answer:
[tex]Area = 34.2cm^2[/tex]
Step-by-step explanation:
Let the three sides be a, b and c respectively.
Such that:
[tex]a = 8[/tex]
[tex]b = 9[/tex]
[tex]c= 10[/tex]
Required
Determine the area
This is calculated as:
[tex]Area = \sqrt{s(s-a)(s-b)(s-c)[/tex]
Where
[tex]s = \frac{1}{2}(a + b + c)[/tex]
Substitute values for a, b and c
[tex]s = \frac{1}{2}(8 + 9 + 10)[/tex]
[tex]s = \frac{1}{2}(27)[/tex]
[tex]s = 13.5[/tex]
Substitute values for a, b, c and s in
[tex]Area = \sqrt{s(s-a)(s-b)(s-c)[/tex]
[tex]Area = \sqrt{13.5 * (13.5 - 8)* (13.5 - 9)* (13.5 - 10)[/tex]
[tex]Area = \sqrt{13.5 * 5.5* 4.5* 3.5[/tex]
[tex]Area = \sqrt{1169.4375[/tex]
[tex]Area = 34.2[/tex] -- Approximated
please help me out in optional maths
Enter the slope of each line in the system in simplest form.
5x+y=15
-10x +2y=-30
if the daimeter of a solid cylinder with lenght 140cm is 8cm , find its curved surface area ,
Answer : The curved surface area of solid cylinder is [tex]3520cm^2[/tex]
Step-by-step explanation :
As we are given that:
Diameter of solid cylinder = 8 cm
Length or Height o solid cylinder = 140 cm
Formula used to calculate the curved surface area of cylinder is:
Curved surface area of cylinder = [tex]2\pi r\times h[/tex]
where,
r = radius of cylinder
h = height or length of cylinder
Radius of cylinder = [tex]\frac{Diameter}{2}=\frac{8cm}{2}=4cm[/tex]
Now putting all the given values in above formula, we get:
Curved surface area of cylinder = [tex]2\times \frac{22}{7}\times 4cm\times 140cm[/tex]
Curved surface area of cylinder = [tex]3520cm^2[/tex]
Therefore, the curved surface area of solid cylinder is [tex]3520cm^2[/tex]
Given:
Diameter of a solid cylinder = 8cm
Length (height) of cylinder = 140 cm
To find:
The curved surface area of the cylinder.
Solution:
We have,
Diameter = 8cm
Radius = [tex]\dfrac{8}{2}=4\text{ cm}[/tex]
Height = 140 cm
Curved surface area of a cylinder is
[tex]CSA=2\pi rh[/tex]
where, r is radius and h is height.
Putting r=4 and h=140 in the above formula, we get
[tex]CSA=2\times \dfrac{22}{7}\times 4\times 140[/tex]
[tex]CSA=2\times 22\times 4\times 20[/tex]
[tex]CSA=3520[/tex]
Therefore, the curved surface area of the cylinder is 3520 square cm.
Hi I need help
I’m new on this app
Answer:
.60 I think
I hope you get it right
There were 45 runners sister erased in the first half of the race 2/3 of them dropped out in the second half of the race to fifth of the remaining runners chopped out how many runners finish the race
Answer:
9 runners
Step-by-step explanation:
Number of runners who started race = 45
Fraction that dropped off in the first half =. 2/3
Fraction of the remaining that dropped of in the second half = 2/5
Number of runners who dropped off in the first half :
(2/3) * 45 = (2 * 45) / 3 = 90 /3 = 30 runners
Runners left = (45 - 30) = 15
Number who dropped off in the second half :
(2/5) * 15 = (2 * 15) / 5 = 30 /5 = 6 runners
Number of runners who finished the race :
(15 - 6) = 9 runners
I need help does someone know this?!
find the slope of the line
Answer:
slope: -2
Step-by-step explanation:
what is the solution 1/2 5x-15 =10
Answer:
x = 10
Step-by-step explanation:
2(1/2(5x) - 15 = 10)
5x - 30 = 20
5x = 50
divide by 5
x = 10
What is the range of this graph?
Answer:
[-2, infinite)
Step-by-step explanation:
range of the graph will be [-2, positive infinite)
Figure #2
2. What is x?
А 58
C 122
990
B
48
D
218
42
Chase caught 2/3 of the balls hit to left field. Ryan caught 3/5 of the balls hit to right field. Which pair of equivalent fractions will help them find the total amount of the balls they both caught?
Answer:
1 4/15 balls
Step-by-step explanation:
From the question, we are told that:
Chase caught 2/3 of the balls hit to left field.
Ryan caught 3/5 of the balls hit to right field.
The Lowest common denominator for both fraction is given as 15
Hence, the equivalent fractions for each boy is calculated such that the denominators of both fraction is 15
For Chase:
We Multiply both numerator and Denominator by 5
2 × 5 /3 × 5 = 10/15
2/5 = 10/15
For Ryan
We Multiply both numerator and Denominator by 3
3 × 3 /5 × 3 = 9/15
3/5 = 9/15
The total amount of the balls they both caught is:
10/15 + 9/15
= 19/15 = 1 4/15
For Items 16-28, determine whether each function is
even, odd, or neither.
f(x) = -x + 2x + 5
f(x) = x + 8x
f(x) = -7x² + 5
f(x) = 5x + 3x? – 7x + 1
Answer:
f(x) = -x + 2x + 5
is odd since f(x) = -5
f(x) = x + 8x
is neither because f(x) = 0
f(x) = -7x² + 5
is odd since f(x) = √5/7
f(x) = 5x + 3x? – 7x + 1
is odd
For the past ten years, Michelle has been tracking the average annual rainfall in Boynton Beach, Florida by recording her data in the given table. She has concluded that the relationship can be modeled by a linear function. Year 2004 2005 2006 2007 2008 2009 2010 2011 2012 2013 Average Rainfall(in inches) 62.33 61.8 61.27 60.74 60.21 59.68 59.15 58.62 58.09 57.56Use the values provided in the table to create a linear graph of the data. On the graph, let represent the year 2004. Be sure to include all proper labels on the graph.
Answer:
The answer is below
Step-by-step explanation:
A linear function is a function in the form y = mx + b, where y and x are variables, b is the y intercept (value of y at x = 0) and m is the slope (rate of change).
Let x represent the year and y represent the amount of rainfall in inches. The linear function can be gotten by selecting any two pair of points from the table in the form (x, y).
Let us use the points (2004, 62.33) and (2007, 60.74). The equation is gotten using:
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)\\\\y-62.33=\frac{60.74-62.33}{2007-2004}(x-2004) \\\\y-62.33=-0.53(x-2004)\\\\y-62.33=-0.53x+1062.12\\\\y=-0.53x+1124.45[/tex]
The graph is plotted using geogebra.
The average rainfall from 2004 to 2013 is 59.945
Given data of rainfall:
2004 62.33
2005 61.8
2006 61.27
2007 60.74
2008 60.21
2009 59.68
2010 59.15
2011 58.62
2012 58.09
2013 57.56
what is the average value?it is the sum of all the observations divided by the total number of observations.
average rainfall A
(62.33+61.8+61.27+60.74+60.21+59.68+59.15+58.62+58.09+57.56)/10
A= 59.945
thus, the average rainfall from 2004 to 2013 is 59.945
to get more about the average visit:
https://brainly.com/question/20118982
Solve.
3.5 x (5.8 - 7.09) =
Answer:
-4.515
Step-by-step explanation:
3.5 times 5.8 is 20.3 and then 3.5 times -7.09 is -24.815 added together to get -4.815 so technically its none of those but they might have miss typed so i think probably -4.515
what is 89999999+ 3099999999999=??????
3.100089999. This is is the answer
Answer:
3,100,089,999,998
Step-by-step explanation:
Hope this helped
pleeeaaaasssse help
The Hendersons have a sedan and a minivan. the difference in mileage of the two vehicles is greater than 4,500 miles. The minivan has 12,755.25 miles. determine the possible number of miles on the sedan. then interpret the solution.
Answer:
Number of miles is either less than 8255.25 or greater than 17255.25.
Step-by-step explanation:
Given that :
Difference in mileage of the sedan and minivan is > 4500
Mikeage of minivan = 12755.25
Possible number of miles on the sedan :
Mileage on minvan ± difference in mileage ;
12755.25 ± 4500
12755.25 + 4500 = 17255.25
12755.25 - 4500 = 8255.25
This means that the possible number of miles on the sedan is either greater than 17255.25 OR less Than 8255.25
Which table shows a constant rate of change 3.25
Answer:
the third one
Step-by-step explanation:
Which graph has the same end behavior as the graph of f(x) =-3x^3-X^2+1
Answer:
x=0.469396
Step-by-step explanation:
x−(−3x3−x2+1)=−3x3−x2+1−(−3x3−x2+1)
3x3+x2+x−1=0
Step 2: Use cubic formula.
x=0.469396
78=6 f please help solve ion have much time
Answer:
hii
Step-by-step explanation:
What is y=-2/9x+3 written in standard form using integers?
Answer:
2x-9y=-27
Step-by-step explanation:
hope this helps. :)
Which expression is equivalent to 12(4m−2n+4)?
1.2m−n+2
2.2m−2n+4
3.8m−4n+4
4.8m−4n+8
Answer:
1. 2m - n + 2
Step-by-step explanation:
12×4m - 12×2n + 12×4. ( because 12 is multipled by whole bracket)
48m - 24n + 48.
2m - n + 2. (by finding common factor 24)
At the neighborhood grocery, 4.5 pounds of chicken breast cost $53.28. Benjamin
spent $59.20 on chicken breast. How many pounds of chicken breast did he buy, to
the nearest hundredth of a pound?
8/10 lies _____ on number line.
8/10 = 0.8
Therefore, 0.8 (8/10) is put on the number line shown below.
2x+3x+1=21
Solve and show work
Answer:
x=4
Step-by-step explanation:
2x+3x+1=21
(2x+3x)+(1)=21
5x+1=21
5x+1=21
Step 2: Subtract 1 from both sides.
5x+1−1=21−1
5x=20
Step 3: Divide both sides by 5.
Answer:
x=4
Step-by-step explanation:
2x+3x+1=21
Simplify both sides of the equation.
2x+3x+1=21
(2x+3x)+(1)=21(Combine Like Terms)
5x+1=21
5x+1=21
Subtract 1 from both sides.
5x+1−1=21−1
5x=20
Divide both sides by 5.
5x /5 = 20 /5
x=4
For one of my math assignments I have to find out which solution is,
One solution
Infinite solution
and No solution
what i've got for it is
y=x+6 and 3x-3y=-18 (Infantaly amount of solutions)
y=-4x+11 and -6+y=11 (One solution)
y=-2x+5 and 2x+y=-7(no solution)
Is this correct?
Answer:
yeah i think they are all right :)
Step-by-step explanation:
hiii please help asap ill give brainliest if you give a correct answer tyyyyy
Answer:
25?
Step-by-step explanation:
sorry if im wrong
“I think of a number, multiply it by 3, add 4 and square the result
Answer:
I choose 1 and multiplied by 3 and then by 4 so that is 7. 7squared is 49
Answer:
(3x+4)(3x-4)
Step-by-step explanation:
3 * x= 3x
3x + 4
(3x+4)(3x-4)