Solution:-
Let's find roots of x² - 3x + 2
=> x² - 3x + 2 = 0.
=> x² - x - 2x + 2 = 0.
=> x ( x - 1 ) -2 ( x - 1) = 0.
=> ( x - 1 ) ( x - 2 ) = 0.
=> x = 2, 1.
Now
( a + ß )² = (2+1)²=3²=9( a - ß )² = ( 2 - 1 )² = 1² = 1.So , equⁿ would be ,
=> x² - ( 9 + 1)x + 9×1=0.
=> x² - 10x + 9=0.
Find the length of the segment AB if points A and B are the intersection points of the parabolas with equations y=−x2+9 and y=2x2−3 . URGENT PLS HELP
Answer:
The length is 4
Step-by-step explanation:
Type in the equations into Desmos, and you will find the intersected points in the graph. Then just look at the distance between the 2 points
Answer:
AB=4
Step-by-step explanation:
1. Since you are finding the intersection points of two parabolas:
a. y=-x²+9
b. y=2x²-3
2. You have to set them equal to each other:
2x²-3= - x²+9
2x²+x=9+3
3x²=12
x²=4
This is the crucial part; the absolute value of x is equal to plus minus the square root of 4, since either -2 squared with parentheses or 2 squared is equal to 4.
√x²=±√4
x=±2
or
x=2; x=-2
3. Then you substitute them into each equation. For this step, any sign 2 will work.
a. y=-(2)²+9
y=-4+9
y=5
b. y=2(2)²-3
y=8-3
y=5
4. So our coordinates will be (2,5) and (-2,5). These are the points of intersection.
5. Now we use the distance formula:
[tex]\sqrt{(x₂-x₁)^{2} +(y₂-y₁)^{2} }[/tex]
The subscripts didn't work for this but I mean the square root of x 2 - x 1 in parentheses plus y 2 -y 1.
[tex]\sqrt{(2+2)^{2} +(5-5)^{2} }[/tex]=
√16=
4
The absolute value rule that I mentioned above doesn't work for this because its a distance and you can't have a negative distance.
So AB=4
please help!! first answer will get brainiest!! evaluate m*p if m= -150 and p= -15
Answer:
2,250
Step-by-step explanation:
negative times a negative equals a positive.
Answer:
-150-15= - - =+ so,-150-15=165-
which figures do not have lateral area?
Please answer both I'm really struggling with my homework
Answer:
[tex]D. \frac{1}{64}[/tex] C. 16Step-by-step explanation:
Second question:
[tex]2^{3}[/tex] = 2 × 2 × 2 = 8Plug 8 in: 6 ÷ 3 × 86 ÷ 3 = 2Plug 2 in: 2 × 8 = 16I hope this helps!
Rearrange the variables to write the equation, LaTeX: V=\frac{8T}{P}
V
=
8
T
P
, to solve for temperature, T, as a function of volume and pressure, V and P. Write out your work on paper and submit a picture.
Answer:
T = VP/8Step-by-step explanation:
Given formula
V = 8T/PSolving for T
V = 8T/P ⇒ multiply both sides by TVP= 8T ⇒ divide both sides by 8VP/8 = TT = VP/8 ⇒ answerWhat is 1.8b + 4.5b?
Abraham purchased a living room set for $3,742 using an 18-month deferred payment plan with an interest rate of 18.79%. What is the balance after the deferment period if no payments are made?
a.) $4,844.77
b.) $4,949.50
c.) $3,742.00
d.) $4,445.12
what is the answer to -5x-x
Answer:
- 6x
Step-by-step explanation:
Step 1:
- 5x - x
Answer:
- 6x
Hope This Helps :)
- 6x
Step 1: - 5x - x
Answer: - 6x
Nelly and her famliy went on vacation to a beach resort. there are 4 large buildings. each building has 8 floors, with 27 rooms on each floor, One of the buildings is getting new carpet, and will not be available. how many rooms are available for Guests?
1) 548
2) 648
3) 448
4) 628
Answer:
648 floors.
Step-by-step explanation:
Since there are 4 large buildings and 1 would be unavailable, there would be three left. You multiply. 3 x 8 x 27 = 648 !
Can you step by step solve 20x+12=4x-16
Answer:
x = - [tex]\frac{7}{4}[/tex]
Step-by-step explanation:
Given
20x + 12 = 4x - 16 ( subtract 4x from both sides )
16x + 12 = - 16 ( subtract 12 from both sides )
16x = - 28 ( divide both sides by 16 )
x = [tex]\frac{-28}{16}[/tex] = - [tex]\frac{7}{4}[/tex] [ = - 1.75 ]
4) Anna uses 4 gallons of gas to drive 160 miles on the
highway. If she travels at the same rate, how many miles can she drive on 7 gallons of gas
A. 40 miles
B. 80 miles
C. 200 miles
D. 280 miles
Answer:
D. 280miles
*Step by step explanation*
miles= 160miles × 7gallons / 4 gallons
miles = 280 miles
Solve for x: x / 24= 3/8 (the / means its a fraction)
Answer:
[tex]x=9[/tex]
Step-by-step explanation:
[tex]\frac{x}{24}=\frac{3}{8}[/tex]
Multiply both sides by 24:
[tex]\frac{24x}{24}=\frac{3\times24}{8}[/tex]
[tex]x=\frac{72}{8}[/tex]
[tex]x=9[/tex]
What is X? Show your work
Answer:
x=-3/7
Step-by-step explanation:
multiply both side by 21, move constant to the right and change its sign, collect the terms, divide both side by 7
(PLZ ANSWER ASAP) Which is an estimate of √41?
In the decimal form, 6.4
Answer:
6.4 in decimal form
Step-by-step explanation:
6.4 ×6.4 is nearly 41
What ratios are equivalent to 7:3|. 12:9, 14:6, 11:7, 4:2,| PLZ HELP
Answer:
14:6 is the same as 7:3
Step-by-step explanation:
both variables seven and three are multiplied by the same number (2) just like with division if you do the same thing to both sides it's still equal
Answer:
14:6
Step-by-step explanation:
When 2 is divided by the two numbers, 14 and 6, it will be 7:3.
What is the missing statement and the missing reason in step 5? A 2-column table with 7 rows. Column 1 is labeled statements with the entries measure of angle A D E = 60 degrees and measure of angle C D F = (3 x + 15) degrees, angle A D E and angle C D F are vertical angles, angle A D E is-congruent-to angle C D F, measure of angle A D E = measure of angle C D F, question mark, 45 = 3 x, and, 15 = x. Column 2 is labeled reasons with the entries given, definition of vertical angles, vertical angles congruent, definition of congruency, question mark, subtractive property, division property. Statement: 60 = 3x + 15; Reason: substitution Statement: x = 15; Reason: subtraction property of equality Statement: 60 = 3x + 15; Reason: transitive property Statement: x = 15; Reason: subtraction and division properties of equality
Answer:
Statement: 60 = 3x + 15; Reason: substitution
(aka A)
Step-by-step explanation:
The missing statement and the missing reason in step 5 is;
Statement: 60 = 3x + 15; Reason: substitution
Here,
We have to find the missing statement and missing reason.
What is Substitution method?
Substitution method is algebraic method to solve the linear equations .
Now,
Column 1 and column 2 are labeled here as;
Angle A D E = 60 degrees ( entries given)
Angle C D F = (3 x + 15) degrees
Angle A D E and Angle C D F are vertical angles. (definition of vertical angles)
Angle A D E is-congruent-to Angle C D F. ( definition of congruency)
Measure of angle A D E = Measure of angle C D F.
⇒ 60 = 3x + 15 ( substitution )
⇒ 45 = 3 x ( subtractive property )
⇒ 15 = x ( division property )
Hence, The missing statement and the missing reason in step 5 is;
Statement: 60 = 3x + 15; Reason: substitution
Learn more about the substitution method visit:
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Can someone please please pleaseee helppp
Step-by-step explanation:
Hey there!!!
Here,
The point is, (-3,1).
Using one point formula.
(y-1)= m(x+3)....1st equation.
It has said that it is also perpendicular to the line y = 1/3x + 2 .......2nd equation.
Now, the equation with y = mx + c.
We get slope (m2) = 1/3.
Now,
As per the condition of perpendicular lines,
[tex]m1 \: \times m2 = - 1[/tex]
[tex]m1 \times \frac{1}{3} = - 1[/tex]
Simplifying them we get,
m1 = -3.
Therefore the slope is -3.
Hope it helps...
Big D decided to lose a few pounds and began
training for a triathlon. At first, he began
walking and eating a cheeseburger but soon
realized that wouldn't work too well. Months
went by and he built up his endurance so that
over the course of one particular week, he ran
seven times as much as he swam and biked
three times as far as he ran. At the end of the
week he realized he went a total of 232 miles!
How many miles did Big D train for each for the
week?
Answer:
NO
Step-by-step explanation:
Help please! I will give brainliest!!
Explain why the product of two
negative integers is not negative. Use (−1)(−1)
as an example.
find the area of the isosceles triangle.
Answer:
60 cm
Step-by-step explanation:
Answer:
60
Step-by-step explanation:
A parent volunteer group is raising money by making custom hats to sell at school activities they plan to sell the hats for $11 each hat costs $5 to make they spent $50 advertising
Answer:
(11 - 5)n - 50Step-by-step explanation:
Cost of 1 hat = $5Selling price = $11Advertising = $50Let the number of hats be n. Then money made is
Profit for each hat:
(11-5)Profit for n hats
(11 - 5)nDeduct cost of advertisement - 50
(11 - 5)n - 50Option C is correct
please help me?????/!!!!!!!!
Enrico translates figure Q to get figure Q’. Then he rotates figure Q’ to get figure Q’. Explain why figure Q and figure Q’’ are congruent
It cost Hudson $28.20 to send 188 text messages. How much would it cost to send 63 text messages? PLZ HELP
Answer:
9.45
Step-by-step explanation:
28.20/188=.15
.15x63=9.45
A group of experimenters has 60 wasps in a large container and needs to assign 15 to each of four groups labeled A, B, C, and D for an experiment. They can capture the wasps one at a time when the wasps enter a side chamber in the container that is baited with food. Which of the following methods is most likely to result in four comparable groups of 15 wasps each? (4 points) a- Place each wasp in its own numbered container (numbered from 1−60) in the order that it was caught. Write the numbers from 1 to 60 on slips of paper, put the slips in a jar, and mix them well. Pick 15 numbers out of the jar. Assign the wasps in the containers with those numbers to group A. Pick 15 more numbers for group B. Pick 15 more numbers for group C. Assign the remaining 15 wasps to group D. b- Label the first 15 wasps caught as group A, the second 15 caught as group B, the third 15 caught as group C, and the fourth 15 caught as group D. c- Write the letters A, B, C, and D on separate slips of paper. Pick one of the slips of paper randomly and assign the first 15 wasps caught to that group. Pick another slip and assign the next 15 wasps caught to that group. Pick another slip and assign the next 15 wasps caught to that group. Assign the remaining wasps to the remaining group. d- When each wasp is caught, roll a die. If the die shows an even number, the wasp is labeled A. If the die shows an odd number, the wasp is labeled B. When 15 wasps have been labeled A and 15 have been labeled B, split the remaining 30 wasps into groups C and D. e- When each wasp is caught, roll a die. If the die shows a 1 or 2, the wasp is labeled A. If the die shows a 3 or 4, the wasp is labeled B. If the die shows a 5 or 6, the wasp is labeled C. Repeat this process for 45 wasps. Assign the remaining 15 wasps to group D.
Answer:
The correct answer is:
a-
Place each wasp in its own numbered container (numbered from 160) in the order that it was caught. Write the numbers from 1 to 60 on slips of paper, put the slips in a jar, and mix them well. Pick 15 numbers out of the jar. Assign the wasps in the containers with those numbers to group A. Pick 15 more numbers for group B. Pick 15 more numbers for group C. Assign the remaining 15 wasps to group D.
Step-by-step explanation:
Each other answer is affected by the order in which wasps were caught, which may be due to a confounding variable.
(I also got this question right on my test :) Please rate this answer to help others. If you believe I am incorrect please rate 1 star so that others will know).
Which property justifies the statement (x)+(-x)=0
Answer:
additive inverse property
Step-by-step explanation:
(x)+(-x)=0
The additive inverse property states
a+ -a =0
Answer:
The absolute property.
Step-by-step explanation:
A number plus the opposite of the number will always equal 0.
What is the area of this shape????
20cm^2 assuming that each box is one cm
Some friends played a board game. During the game, one unlucky player had to move back 8 spaces 5 turns in a row. Find a number to represent that player's movements for those 5 turns.
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A football team loses 8 yards on each of 4 consecutive plays. Find the total change in yards from where the team started.
The total change is
nothing yards. plsssssssssssssssssssssssssssss help. their i raised the points'
Answer:
I think that it would be -40
Step-by-step explanation:
I think this because they had to go back 40 spaces because 8 x 5 = 40.
The required number is 40 which represents that player's movements for those 5 turns.
Given that,
Some friends played a board game. During the game, one unlucky player had to move back 8 spaces 5 turns in a row.
To determine the number to represent that player's movements for those 5 turns.
In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,
Here,
For every turn, he has back 8 spaces
To the number of spaces back in 5 turns,
Total spaces back = 5 * 8
= 40
Thus, the required number is 40 which represents that player's movements for those 5 turns.
Learn more about arithmetic here:
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find hundred 2 raise to 3 using suitable identity
Answer:
102^3 = (100+2)^3
= (100^3)+(2^3)+{3*(100^2)*2}+(3*100*
{2^2})
= 1000000+8+60000+1200
= 1061208