If f(x) =
(3 + x)
(x-3)
what is f(a + 2)?
Answer:
(a^2)+4a-5
Step-by-step explanation:
(3+a+2)(a+2-3)
(a+5)(a-1)
use FOIL or box method
5a-5+(a^2)-a simplifyes to
(a^2)+4a-5
what's the number before 277000
The number is 276999
How does the volume of the larger cube compare to the volume of the smaller cube? Use pencil and
paper. Use this and other examples to describe what happens to the volume of a cube if you triple the length
of the edges.
Answer:
Option C, The volume of the length cube is 3 times the volume of the smaller cube
Step-by-step explanation:
21.8 / 7.8 = 2.8
the volume of the larger would be 21.8^3 = 10360.23
the volume of the larger would be 7.8^3 = 474.55
Find the product or type
"impossible".
[2 6 -7][5 -2 4]
The value of (26 - 7) and (5 - 24) when they're multiplied will be -399.
How to multiply the values?From the information given, we are told to multiply (26 - 7) and (5 - 24). This goes thus:
= (26 - 7) × (5 - 24)
= 21 × -19
= -399
In this case, value of (26 - 7) and (5 - 24) when they're multiplied will be -399.
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Find point Z that partitions the directed line segment XY in the ratio of 2:1 where X(1, 2) and Y(7, 5). Show all steps.
!BRAINLIEST AND 5 STARS TO BEST ANSWER AND FULL EXPLANATION ONLY!
Hello, detailed answer is given below.
If you have any question(s), then feel free to ask in comments!
What is the volume, in cubic centimeters, of a cylinder with a height of 5 centimeters and a base radius of 10 centimeters, to the nearest tenths place?
Answer:
The volume of the cylinder is approximately 1570.8 cm³.
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightGeometry
Volume Formula [Cylinder]:
[tex]\displaystyle V = \pi r^2 h[/tex]
Step-by-step explanation:
Step 1: Define
Identify given variables.
h = 5 cm
r = 10 cm
Step 2: Find Volume
[Volume Formula - Cylinder] Substitute in variables:∴ the volume of a cylinder whose height is 5 cm and radius is 10 cm is approximately 1570.8 cm³.
___
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Topic: Geometry
Pepper Jackie is putting 742 hard-boiled eggs into cartons for a community
farm fundraiser. Each carton holds 12 eggs. How many cartons of eggs can she
make?
Answer:
About 61 cartons with a reminder with a remainder of 10
Step-by-step explanation:
12 * 61 = 732 → 742 - 732 = 10 eggs
hope this helps
Decide whether quadrilateral ABCD with vertices 4(3,1), B(-1,-1) C(1,3), and D(5,5) is a rectangle, rhombus,
square, or parallelogram.
Answer: rectangle
Step-by-step explanation:
From the options, it is implied that it is a parallelogram.
From inspection, we can tell that not all the sides are congruent, so it is not a rhombus or a square.
To determine if it is a rectangle, we can use the slope formula to see if there is a pair of perpendicular sides (if this is the case, then this will be a parallelogram with a right angle, making it a rectangle)
[tex]m_{\overline{AB}}=\frac{1-0}{-4-(-3)}=-1\\m_{\overline{BC}}=\frac{4-1}{-1-(-4)}=1\\\therefore \overline{AB} \perp \overline{BC} \text{ because} \left(m_\overline{AB} \right) \left(m_{\overline{BC} \right)=1[/tex]
So, the most specific classification is a rectangle.
Is constructed by making arcs centered at a and b without changing the compass width. which equation is not necessarily true? a. pq = ab b. ap = pb c. aq = bq d. ar = rb
The equation that is not necessarily true is that PQ = AB.
How to illustrate the equation?The perpendicular bisector of any line segment can be drawn by opening the compass more than half, by putting the nib of the compass at one end of a line segment, and by marking an arc on both sides of the line segment from both the ends of the segment.
The following Property that the perpendicular bisector PQ follows when it bisects the line segment AB include:
AP=BPAQ=BQAR=BR∠ARP=∠BRP=∠ARQ=∠BRQ=90°Therefore, PQ is Perpendicular Bisector of Line Segment AB is not true.
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The total numbers of hours several different athletes spent training over the last year are shown below. 155, 175, 190, 210, 213, 243, 340, 380, 390, 457, 670 Which measure BEST shows the center of this data set? mean median mode range
Answer:
range is 515, mode:All values are equal, Median is 243 and the mean is 311.18
mean:to find the mean you need to add up all you numbers so all of these add up to be 3423 and then you divide by the amount of numbers which it 11 so 11 / 3423 = 311.18 so the answer is the mean is 311.18
median: to find it you need to put all the numbers smallest to biggest so it would be in the order 155, 175, 190, 210, 213, 243, 340, 380, 390, 457, 670 and then you pick the one in the middle and that would be 243
mode:All values appeared just once so there is not one
range: to find the range to need to find the differences in the smallest to the biggest number so smallest one is (155) biggers (670) so 155 - 670 = 515 so the range is 515
Hope This Helped
Which pair of angles shares ray A and F as a common side?
The pair of angles that share a ray as a common side in the given diagram is: ∠FAB and ∠FAD.
What are Adjacent Angles?Adjacent angles are angles that lie adjacent or next to each other sharing a common vertex and have the same ray as a common side.
In the diagram attached below, ∠FAB and ∠FAD share a common vertex, A, and a ray FA as a common side.
Therefore, the pair of angles is: ∠FAB and ∠FAD.
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What are the coordinates of the point that is 2/5 of the way from a to b
Answer:
the cords for a should be (-3,0) and the cords for b should be (7,15) sorry if im incorrect
order the decimal greatest to least 8.31,8.295, 8.06,8.3
Answer:
Least 8.06, 8.295, 8.3, 8.31 Greatest
in the figure at the right DC = 20 cm and AB =36 cm . what is FE? a.16cm b.56cm c.28cm d.46cm
Answer:
however dc =20 cm is
Step-by-step explanation:
so this isnt contrary to 50
Answer:
If it's all about trapezoid and FE is the median:
SOLUTION:
m = \frac{1}{2}
2
1
[(20) + (38)]
m = \frac{1}{2}
2
1
(58)
m = \frac{58}{2}
2
58
m = 26
ANSWER: 26 cm
Step-by-step explanation:
Patrick buys a wrench with a listed price of $22. Which of these coupons will deduct the most from Patrick's purchase price?
A. Save $5 + 10%
B. Save $10
C. 15% off
D. Save 25%
Answer:
B: Save $10
Step-by-step explanation:
A: $14.80, B: $12, C:$18.70, D: $16.50
complete the proof and tell me how to come up with the answer please ASAP
Step 4 is the reason SSS
Of all of the medium mirrors that were shipped, how many of them were broken? 68 78 164 208
help me pleaseeeeeeeee
[tex]\textit{exponential form of a logarithm} \\\\ \log_a(b)=y \qquad \implies \qquad a^y= b \\\\[-0.35em] ~\dotfill\\\\ 2^3~~ = ~~8\implies \log_2(8)~~ = ~~3[/tex]
Calculate.
a) 130% of 220
I inserted a photo please answer ASAP I will mark brainliest PLEASEEEEE
Answer:
B, C, D
Step-by-step explanation:
Square roots are not in polynomials
1.
Solve the equation below.
a.
x = 1
x = -2
x = 3
x = -4
b.
C.
d.
2x + 3 = 5
Answer:
a) x = 1
Step-by-step explanation:
Given: 2x + 3 = 5
1. Subtract 3 from both sides:
2x + 3 - 3 = 5 - 3
⟹ 2x = 2
2. Divide both sides by 2:
2x ÷ 2 = 2 ÷ 2
⟹ x = 1
3. Check your work:
2(1) + 3 = 5
2 + 3 = 5
⟹ 5 = 5 ✔
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Based on the work done in checking his solution, does it appear that x = 9/2 is the
solution? Explain why or why not
be detailed, giving out brainliest to.
Answer:
Yes x = 9/2 is the correct solution.
Step-by-step explanation:
You have substituted x = 9/2 into both sides of the equation and they have both simplified to the same value.
Sarah opened new savings account on Tuesday with a deposit of $70. She made a deposit of $30 on Friday and a withdrawal of $60 on Saturday. Which of the following expression represents her new account balance.
Answer:
x=70+30-60
Step-by-step explanation:
Word to my mother
What should be added to both sides of this equation to solve for the variable?
P-33 = 17
Answer:
You add 33 on both sides to solve for the variable.
Step-by-step explanation:
Find the length of side x in simplest radical form with a rational denominator.
V10
X
60°
30°
Check the picture below.
How many sides do 2 nonagons and 3 decagons have in all?
Answer:
48 sides
Step-by-step explanation:
A nonagon has 9 sides
A decagon has 10 sides
10 + 10 + 10 = 30
9+9 = 18
30 + 18 = 48
48 sides in total
Give brainliest please!
Hope this helps :)
10 points, helpppp please!
Answer:
64
Step-by-step explanation:
Important angle relationships that will help us answer this question :
Supplementary angles : Supplemtary angles are angles that for a straight line. The sum of these angles is 180 degrees.Corresponding angles : corresponding angles are angles that are on the same side of the traversal as well as the same side of the intersecting lines. These angles are congruent ( equal to each other ) if the two lines that they fall on are parallel ( which they are )Opposite exterior angles - These angles are angles on the very outside of the lines and are on opposite sides of the transversal. These angles are congruent as wellFor more clarification kindly view the attached images :)
Using these angles relationships, we can easily find the answer two different ways.
First way :
Creating an equation : We want to find the measure of angle MPN. It's important to note that this angle falls on a line made up of other angles ( angle mpe and angle npe ) forming a straight line ( line e )
Using our angle relationships we know that angles that form a straight line are supplementary and add up to 180 degrees.
So we can say angle mpe + angle npe + angle MPN = 180. ( we can use this equation to solve for angle MPN )
Here we are given that angle mpe is a right angle ( indicated by the little square ) meaning it has a measure of 90 degrees.
So we can further simplify our equation saying that angle npe + 90 + angle MPN = 180 ( by plugging in angle mpe = 90 )
Now if you didn't know we can solve an equation ( find the missing angle ) if there is a single variable ( in this case we want the variable to be angle MPN ). This means that in order to solve for angle MPN we just find the measure of the other angle, angle npe.
Finding angle npe
The angle under "x" is corresponding to angle mpE so we can say the angle under x = angle npe.
The angle under x also appears to be supplementary to the angle with a measure of 153 degrees. So we can say that angle under x + 154 = 180
Subtracting both sides by 153 we get that angle under x = 180 - 154 = 26 degrees.
Because the angle under x and angle npe are corresponding and equal to each other, angle npe also has a measure of 26 degrees.
Finishing creating the equation and solving for angle MPN : So we have angle npe + angle mpe + angle MPN = 180
We know angle mpe = 90 and angle npe = 26
So we can say 90 + 26 + angle MPN = 180
Now we can solve for angle MPN
90 + 26 + angle MPN = 180
==> combine like terms
116 + angle MPN = 180
==> subtract 116 from both sides
angle MPN = 64 degrees
Second way :
We can also solve for angle MPN using the angle relationship " opposite interior angles "
The angle with a measure of 154 degrees and angle ePN are opposite exterior angles meaning they are congruent. ( so angle ePN = 154 )
Angle ePN is made up of angle mpe and angle MPN. This means that angle mpe + angle MPN = 154
We've already identified that angle mpe = 90 degrees because it's a right angle so we can say angle angle MPN + 90 = 154
Subtracting both sides by 90 we get that angle MPN = 154 - 90 = 64 degrees
And we are done!
Using the information in the diagram, what is the height of the tree to the nearest foot?
45 ft
54 ft
60 ft
135 ft
The relationship between the corresponding sides of similar triangles indicates that the height of the tree is 60 feet. The correct option is therefore;
60 ftWhat are similar triangles?Similar triangles are triangles in which the ratio of the corresponding sides of the triangles are equivalent for the three sides of the triangle.
The location of the tree divides the hypotenuse side and the base of the triangle formed by the building into two parts of the same length, therefore;
The length of the hypotenuse side to the building = 2 × 108 ft = 216 ft
The length of the base to the building = 2 × 90 ft = 180 ft
The ratio of corresponding sides of similar triangles and the trigonometric ratio of sines, indicates that we get;
Height of the tree/108 = 120/216
Height of the tree = 108 × (120/216) = 60 feet
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HELP PLEASE HURRY
g(x)
3
f(x) = 4x + 5
-32
#12
Which function has the greatest y-intercept?
3/
h(x)=3 sin(2x + 1)-2
Answer:
pls write your answer in order i dont know if they are together or separate
Solve |5x + 30| = 10x Identify the solution and an extraneous solution
Answer:
B
Step-by-step explanation:
the absolute value function always gives a positive result
However, the value inside can be positive or negative, that is
5x + 30 = 10x or - (5x + 30) = 10x
solving both
5x + 30 = 10x (subtract 5x from both sides )
30 = 5x ( divide both sides by 5 )
6 = x
or
- (5x + 30) = 10x
- 5x - 30 = 10x ( add 5x to both sides )
- 30 = 15x ( divide both sides by 15 )
- 2 = x
As a check
substitute these values into the equation and if both sides are equal then it is a solution.
x = 6
left side = | 5(6) + 30 | = | 30 + 30 | = | 60| = 60
right side = 10(6) = 60
Then x = 6 is a solution
x = - 2
left side = | 5(- 2) + 30 | = | - 10 + 30 | = | 20 | = 20
right side = 10(- 2) = - 20 ≠ 20
Thus x = - 2 is an extraneous solution