Answer:
(x+5)(x-5)
Step-by-step explanation:
x^2 - 25
This can be written as
x^2 - 5^2
We know that this is the difference of squares
a^2 - b^2 = ( a+b) ( a-b)
x^2 - 5^2 = (x+5)(x-5)
Answer:
B. (x + 5)(x - 5)
Step-by-step explanation:
Factor the following:
[tex] \longrightarrow [/tex] x² - 25
25 = 5²:
[tex] \longrightarrow [/tex] x² - 5²
Factor the difference of two squares.
a² - b² = (a + b)(a - b):
[tex] \longrightarrow [/tex] (x + 5)(x - 5)
3. Given A(3,5), B(7, 10), C(0, 2), and D(1, a),
determine the value of a for which:
a) Line AB is parallel to line CD.
b) Line AB is perpendicular to line CD.
please help!! i’m failing grade 10 precal and i need this❤️ will give 15 points
Answer:
1) if Line AB is parallel to line CD then value of a is: a=3
2) if Line AB is perpendicular to line CD then value of a is: a=1
Step-by-step explanation:
We are given A(3,5), B(7, 10), C(0, 2), and D(1, a) we need to find value of a for which:
We can use slope formula: [tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex] to find value of a according to conditions given.
We are given:
[tex]x_1=3, y_1=5, x_2=7, y_2=10 \ for \ line \ AB \ and \\\x_1=0, y_1=2, x_2=1, y_2=a \ for \ line \ CD \[/tex]
a) Line AB is parallel to line CD.
When 2 lines are parallel there slope is same so, using this we can find value of a
[tex]Slope \ of \ line \ AB = Slope \ of \ line \ CD[/tex]
[tex]\frac{y_2-y_1}{x_2-x_1}= \frac{y_2-y_1}{x_2-x_1}\\\frac{10-5}{7-3}=\frac{a-2}{1-0} \\\frac{5}{5}=\frac{a-2}{1}\\1=a-2\\a=1+2\\a=3[/tex]
So, if Line AB is parallel to line CD then value of a is: a=3
b) Line AB is perpendicular to line CD.
When 2 lines are perpendicular there slopes are opposite of each other so, using this we can find value of a
[tex]Slope \ of \ line \ AB =-\frac{1}{Slope \ of \ line \ CD}[/tex]
[tex]\frac{y_2-y_1}{x_2-x_1}=-\frac{1}{ \frac{y_2-y_1}{x_2-x_1}} \\\frac{y_2-y_1}{x_2-x_1}=-\frac{x_2-x_1}{y_2-y_1}\\\frac{10-5}{7-3}=-\frac{1-0}{a-2} \\\frac{5}{5}=-\frac{1}{a-2}\\1=-\frac{1}{a-2}\\a-2=-1\\a=-1+2\\a=1[/tex]
So, if Line AB is perpendicular to line CD then value of a is: a=1
Which set of data contains two outliers?
113, 115, 103, 114, 109, 111, 119
141, 151, 138, 142, 149, 140, 150
99, 113, 91, 104, 109, 114, 97
101, 135, 131, 99, 138, 136, 140
Answer:
D: 101, 135, 131, 99, 138, 136, 140
Step-by-step explanation:
edg2020 (do not get this confused with the question: "which set contains no outliers"
D
I got it right on the test
Please help! this assignment is due under 10 minutes! please with explatiation Thank you!
can't see the question its blurry
Answer:
The 1st graph is The answer
how to win a bey blade that stronger than you?
Answer: The fact that beyblades spin at different speeds, you may want to get one that is fast while staying in control. Some have more mass than others leading them to spin slower, but the fact that they weigh so much may cause the other one to richochet off of it. Therefore get a big but fast beyblade that is very stable.
Answer:1. Takara Tomy Beyblade Burst B-148 Heaven Pegasus.
Step-by-step explanation:
8. If k = log2 3 then log2 48 =
Answer:
16k
Step-by-step explanation:
k=3log2
k=(48\16) log2
16k= 48log2
16k=log2 48
Numbers can be expressed in logarithms.
The value of [tex]\mathbf{log_248}[/tex] is [tex]\mathbf{k + 4}[/tex]
The expressions are given as:
[tex]\mathbf{k = log_23}[/tex]
[tex]\mathbf{log_248}[/tex]
Express 48 as 3 * 16
[tex]\mathbf{log_248 = log_2(3 \times 16)}[/tex]
Split
[tex]\mathbf{log_248 = log_2(3) + log_2(16)}[/tex]
Express 16 as 2^4
[tex]\mathbf{log_248 = log_2(3) + log_2(2^4)}[/tex]
Rewrite as:
[tex]\mathbf{log_248 = log_2(3) + 4log_22}[/tex]
In logarithms:
[tex]\mathbf{log_aa = 1}[/tex]
So, we have:
[tex]\mathbf{log_248 = log_2(3) + 4(1)}[/tex]
[tex]\mathbf{log_248 = log_2(3) + 4}[/tex]
Substitute [tex]\mathbf{k = log_23}[/tex]
[tex]\mathbf{log_248 = k + 4}[/tex]
Hence, the value of [tex]\mathbf{log_248}[/tex] is [tex]\mathbf{k + 4}[/tex]
Read more about logarithms at:
https://brainly.com/question/8657113
A car rental agency advertised renting a car for $23.95 per day and $0.24 per mile. If Shawn rents this car for 3 days, how many whole miles can he drive on a $150 budget?
Answer:
23.95(3)+ 0.24=150 multipy 3 and 23.95
71.85+0.24m=150 subtract 71.85 from 150
0.24m=78.15 divide 78.15 by 0.24
m=325 miles
Jesse plays basketball for his high school team. In his last 12 twelve games he scored the following points: 18, 22, 19, 15, 24, 22, 18, 15, 10, 14, 18, 10. Barbara plays basketball for her high school team. In her last 10 games she scored the following points: 15, 12, 12, 16, 18, 22, 16, 20, 20, 14. Determine which player had the largest range of points scored? What is the difference is the range of points between the two players?
In the form of a paragraph, explain in complete sentences the steps necessary to compute the range of the points, which team player had the largest range of points and include the final answer in your explanation. Complete your work in the space provided.
Answer:
Jesse has the largest range between the two players. The difference between their ranges is 2.
Step-by-step explanation:
Jesse's range: 14
Barbara's range: 10
Range is determined by using the largest number and the smallest number in a set of integers and subtracting them. Jesse's highest number was 24, and his lowest would be 10. 24-10=14.
Barbara's highest score was 22, while her lowest was 12. 22-12=10.
subtracting Jesse's range from Barbara's range would equal 2.
(please don't cook me if this is incorrect but i'm 97% sure i'm right)
The vertices of her garden are located at the points (−1,5), (4,2) and (9,−4) on a coordinate grid. If each unit on the grid represents a foot and the material costs $8 per foot, how much will she pay for the material on the side between points (−1,5) and (4,2)?
Given:
The vertices of the garden on a coordinate grid are (−1,5), (4,2) and (9,−4).
Each unit on the grid represents a foot and the material costs $8 per foot.
To find:
The cost for the material on the side between points (−1,5) and (4,2).
Solution:
Distance formula:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Using the above formula, the distance between points (−1,5) and (4,2) is
[tex]d=\sqrt{(4-(-1))^2+(2-5)^2}[/tex]
[tex]d=\sqrt{(4+1)^2+(-3)^2}[/tex]
[tex]d=\sqrt{(5)^2+(-3)^2}[/tex]
On further simplification, we get
[tex]d=\sqrt{25+9}[/tex]
[tex]d=\sqrt{34}[/tex]
[tex]d\approx 5.83[/tex]
Now,
1 unit = 1 foot and 1 foot material costs is $8.
So, 1 unit material cost is $8.
Cost of material for 5.83 units is
[tex]5.83\times 8=46.64[/tex]
Therefore, the cost for the material on the side between points (−1,5) and (4,2) is $46.64.
Find the slope of the line that passes through (24,-5) and (87, 64).
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Answer:
Distance
80.7527089328897
Midpoint
(81.5,24)
Slope
7.27272727272727
x intercept
78.20
y intercept
−568.73
Step-by-step explanation:
Answer:
[tex]1 \frac{2}{21} [/tex]
Step-by-step explanation:
Please see the attached picture for the full solution.
What is the slope of the line that intersects this two points (12,2), (-7,5)
(12,2) (-7,5)
x1 y1. x2 y2
use this formula to solve:
y2-y1/x2-x1
=
(5)-(2)
(-7)-(12)
slope: -3/19
Writing an Equation Given Two Point
A line has an x-intercept of 3 and a y-intercept of -6.
The slope-intercept form of its equation is
John's dog slept for 3 hours. If the dog snored every 13 1 3 13 1 3 of an hour, how many times did he snore? Play media comment. Group of answer choices 9 times 1 time 12 times
Answer:
9 times
Step-by-step explanation:
A dog snores 1/3 of an hour
60 minutes = 1 hour
Hence,
1/3 of 60 minutes = 20 minutes
Hence, every 20 minutes, the dog snores
This means in 1 hour, the dog snores 3 times
The dog slept for 3 hours
Hence,
1 hour = 3 times
3 hours = x
Cross. Multiply
x = 3 × 3 times
x = 9 times
The dog snores 9 times
If f(x) = 2x2
+3 and g(x) = x2 - 7, find (f + g)(x).
A. x² - 4
B. X2 + 10
C. 3x2 - 4
D. 3x2 - 10
Answer:
Im stupid so dont trust me but imma guess and say c
Answer:
YEH its B X to the second power Plus 10
Step-by-step explanation:
Choose all the expressions that are equal to 34 × 8,010.
A. 8,010 × 34
B. 34 × (801 × 102)
C. 30 × 4 × 8,010
D. 34 × (8,000 + 10)
E. (30 + 4) × 8,010
Answer: A. 8,010 × 34
D. 34 × (8,000 + 10)
E. (30 + 4) × 8,010
Step-by-step explanation:
First we need to calculate 34 × 8010 = 272340
A. 8,010 × 34 = 272340
This is equal to 34 × 8010.
B. 34 × (801 × 102)
= 34 × 81702
= 2777868
This is not equal to 34 × 8010.
C. 30 × 4 × 8,010
= 961200
This is not equal to 34 × 8010.
D. 34 × (8,000 + 10)
= 34 × 8010 = 272340
This is equal to 34 × 8010.
E. (30 + 4) × 8,010
= 34 × 8010 = 272340
This is equal to 34 × 8010.
Therefore, the correct options are:
A, D, E.
Determine how the triangles are similar
Answer:
SAS.. Can I have brainliest?
Step-by-step explanation:
Mike had 180 blue and red pencils. He had 45 blue. What percentage of his pencils are red.
The percentage of red pencils Mike had is 75%.
What is the percentage?A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.
Given, Mike had 180 blue and red pencils and 45 were blue.
So, The number of red pencils is,
= (180 - 45).
= 135.
Therefore, The percentage of red pencils is,
= (135/180)×100%.
= 75%.
Some other concept related to percentage is percentage change,
The net amount change will now be divided by the original sum and multiplied by 100%, giving us the percentage change, which is,
learn more about percentages here :
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please help meeeeeeeeee
Answer:
37.3% is the take off
Step-by-step explanation:
so an easy route is to subtract the price after the reduction
89.99-56.49= 33.5 that is 37.3 percent
because 62.78% of 89.99 is 56.486723 round i and you get 56.49 so this is a check your work
The perimeter of a rectangle 220 cm and its breadth and length are in
the ratio 4:7.What is the breadth and length?
Answer:
80 is the breadth and 140 is the length
Step-by-step explanation:
Samantha is making flower arrangements. She has 32 roses and 96 daisies. If she wants to make all the arrangements identical and have no flowers left over, how many daisies will be in each flower arrangement?
Answer:
3 daisies.
Step-by-step explanation:
Given that,
Samantha has 32 roses and 96 daisies.
She wants to make all the arrangements identical and have no flowers left over. We need to find the no of daisies in each flower arrangement.
For this, we need to first find the HCF of 32 and 96.
The factors of 32 are: 1, 2, 4, 8, 16, 32
The factors of 96 are: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
HCF = 32
No of daisies = 96/32 = 3
Hence, there are 3 daisies in each flower arrangement.
A local bookstore tracked the type of payments people make at their store. Out of 100 people, 40 paid with cash, 55 paid with a credit card and 5 used a gift card. Based on this information, what is a reasonable prediction of the number of people paying with cash if they had 600 customers?
Answer:
Cash = 240, Credit = 330, Gift = 30
Step-by-step explanation:
We know from this the precentage of people using different payment methods
Cash = 40/100 = 40%
Credit card = 55/100 = 55%
Gift card = 5%
We can then find the number of people using each method regardless of total amount of people
Cash = 40% * 600 = 240
Credit = 55% * 600 = 330
Gift card = 5% * 600 = 30
Total = 240 + 30 + 330= 600
Answer:
240
Step-by-step explanation:
Set up a proportion. Out of 100 people, 40 people paid with cash. Out of 600 people, x people paid with cash.
[tex]\frac{40}{100} =\frac{x}{600}[/tex]
Cross multiply and solve for x.
[tex]24000 = 100x\\24000/100=100x/100\\240 =x\\x=240[/tex]
240 customers paid with cash.
Which of these graphs is the solution set for the equation y = -4?
Answer:A
Step-by-step explanation:
You are trying to find the Y-Intercept. So because there is no slope it is the Y-int.Also hope this is correct, sorry if it is wrong.
In a newspaper, it was reported that the number of yearly robberies in Springfield in 2012 was 90, and then went down by 50% in 2013. How many robberies were there in Springfield in 2013?
Answer: 45
Step-by-step explanation:
2.
Which of these expressions is equivalent to -2(x - 5)?
A.
-2x – 5
B.
- 2x + 5
C.
-2x + 10
-2x – 10
D.
Answer:
C.
Step-by-step explanation:
Evalute -2(x-5)
-2x+10
Answer:
-2x+10
Step-by-step explanation:
-2(x-5)
= -2x +10 { multiplying equation by -2}
Note:
(-)×(-) = (+)
(+) × (+) = (+)
(-) × (+) = (-)
(+) × (-) = (-)
Help me, please !!!!
Plzz help me (sovle all question in the image)
Please help on a maths question, Brainiest for the best answer!!!
perimeter = sum of all sides
= 4.3 + 7 + 4.3 + 7 + 4.3 + 7 + 2.7
= 36.6 cm
Answer:
36.6 cm
Step-by-step explanation:
Each side, starting with the one all the way to the left and going anticlockwise.
7 + 4.3 + 7 + 4.3 + 7 + (7 - 4.3 = 2.7) + 4.3 = 36.6
Aplica la operación de números enteros que corresponda:
(+148) + (+35) =
(+80) + (-53) =
(-125) X (-42) =
148+35=183
80+(-53)=27
(-125) x (-42)=5250
please help:) please help:)
Answer:ndjsoalwjjdlq bc hxlansbdlmdnwb
Step-by-step explanation:
2x+7y =3
x= -4y
x=
y=
Answer:
Y=2
x=7
but they all equal 3
A firefighter needs to lean a ladder against a wall of a building to reach a window. How far away from the base of the building should he/she place the foot of the ladder? Ladder is 25 feet long, window is 23.8 feet high in the building.
Answer:
7.7 feet
Step-by-step explanation:
Let the distance from the base of the building to the foot of the ladder be represented by x. Ladder is 25 feet long, while window is 23.8 feet high.
The length of the ladder, the height of the window and the distance from base of building to foot of ladder describes a right angled triangle.
Thus, applying the Pythagoras theorem;
[tex](25)^{2}[/tex] = [tex](23.8)^{2}[/tex] + [tex]x^{2}[/tex]
625 = 566.44 + [tex]x^{2}[/tex]
625 - 566.44 = [tex]x^{2}[/tex]
58.56 = [tex]x^{2}[/tex]
⇒ x = [tex]\sqrt{58.56}[/tex]
= 7.653
The foot of the ladder should be placed 7.7 feet away from the base of the building.