Answer:
Y=13+3x
Step-by-step explanation:
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 .
Answer:
Answer:
AB=4
Step-by-step explanation:
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:
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.
=
√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
The distance between two points (x₁, y₁) and (x₂, y₂) is given by:
[tex]D = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}[/tex]
With this, we will found that the distance between A and B is: 4 units.
The first thing we need to do is find A and B.
We know that the points are the intersection between the two parabolas.
y = -x^2 + 9
y = 2*x^2 - 3
The intersection is given by the zeros of the difference:
(2*x^2 - 3) - (-x^2 + 9) = 0
3*x^2 -12 = 0
3*x^2 = 12
x^2 = 12/3 = 4
x = √4 = ±2
To find the points, we need to evaluate one of the parabolas in these two x-values.
Let's use the first one:
y = -(2)^2 + 9 = 5
So we have the point (2, 5)
For the other point:
y = -(-2)^2 + 9 = 5
So we have the point (-2, 5)
Then we can define:
A = (2, 5)
B = (-2, 5)
Using the distance equation we get:
[tex]D = \sqrt{(2 - (-2))^2 + (5 - 5)^2} = 4[/tex]
The distance between A and B is 4.
If you want to learn more, you can read:
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6. During the school fundraiser, the 4th grade raised $2,124. The 5th grade raised $396 less than 4th grade. How much money did the 4th and 5th grades raise together?
Answer:
$3,852
Step-by-step explanation:
Total for 4th grade: 2,124
5th grade: raised 396 less
2,124-396= total amount 5th graders raised
2,124-396=1,728
2,124+1,728=3,852
They raised $3,852 dollars.
Answer: 3,852
there you go
Please help me with this question
Answer: C
Step-by-step explanation:
To find f(g(x)), you plug in g(x) into f(x).
[tex]f(g(x))=\sqrt{(8x-12)+8}[/tex] [combine like terms]
[tex]f(g(x))=\sqrt{8x-4}[/tex] [factor]
[tex]f(g(x))=\sqrt{4(2x-1)}[/tex] [square root of 4]
[tex]f(g(x))=2\sqrt{2x-1}[/tex]
Now, we know that the answer is C.
What is 55% of $11,000 dollars?
$550
$5,500
$6,050
$5.00
Answer:
6,050 would be the right answer
Step-by-step explanation:
What are some ratios that are not equivalent to 6/9 I need this before 7 pm pacif time!
Answer:
1:8
33:8
1:1
88:99
6:7
235:9
Ina school 3/7 of the student are girls if there are 240 boys, find the number of girls
The number of Girls in a school is 180.
Find the number of girls.
There are girls in a school = 3/7
Number of boys in a school = 240
Assume that there are x students in a school.
Number of Girls = 3/7 of All Students.
= 3/7 of x
= 3x/7
We know that,
Total Students = Number of Boys + Number of Girls.
240 + 3x/7 = x
240 = x - 3x/7
240 = (7x - 3x) /7 (Taking L.C.M.)
240 × 7 = 4x
x = 60 × 7
x = 420
Total number of Students in a school is 420.
Thus, Number of Girls = 3/7 × x
= 3/7 × 420
= 180
So, the number of Girls in a school is 180.
Learn more about problems on find the number.
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Lisa is decorating the outside edge of a square picture frame. She needs to know the side length of the frame. The area of the frame is mm square inches. Which shows the side length, in inches, of the picture frame?
Answer:
Step-by-step explanation:
If you have the area just divide it by 4 and that will give you the answer .
A square has all equal sides
Help me please please!!
Answer: Robert put 5 * (8) * 2 instead of putting 5 * (-8) * 2
Please Mark me as brainliest
Find the length of AB if AB = x + 10, BC = x + 14, and AC = 32.
Answer:
14
Step-by-step explanation:
AB + BC = AC
[tex]x + 10 + x +14 = 32 \\ 2x = 8 \\ x = 4 \\ \\ [/tex]
AB = 4 + 10 = 14
Answer:
AB = 14Step-by-step explanation:
AB + BC = AC
x + 10 + x + 14 = 32
2x + 24 = 32
-24 -24
2x = 8
÷2 ÷2
x = 4
AB = x+10 = 4+10 = 14
if I am 9 years old how old will i be in 29 years
Answer:
YOU will be 38 yrs old, but I will be 29 years older than my 29 year-younger self
Step-by-step explanation:
Answer:
you would be 38
Step-by-step explanation:
29 plus 9 equals 38
20
What is the sum of 7x4 + 2xy - 5y3 and 2x4+3xy + 2y3?
Step-by-step explanation:
7x^4+2xy-5y^3
+2x^4+3xy+2y^3
=9x^4+5xy-3y^3
Hello i need help with 3/4(x+2) =6
Answer:
X = 6.
Step-by-step explanation:
Answer:
x = 6
Step-by-step explanation:
since you want to solve for x, you want to get it by itself
to start, you want to try to get (x+2) by itself, and you can do this by multiplying both sides by the reciprocal of 3/4
[tex](\frac{4}{3}) \frac{3}{4}(x+2) = 6 (\frac{4}{3})[/tex]
since a number multiplied by its reciprocal is equal to 1, this leaves you with
[tex](x+2) = \frac{24}{3}[/tex]
[tex](x+2) = 8[/tex]
now, you can subtract 2 from both sides in order to get x by itself
[tex](x+2)-2 = 8-2[/tex]
[tex]x = 8-2=6[/tex]
and then you have your answer
x = 6
hope this helps :)
Ninety-two is all of the following except _____.
a term
an expression
a constant
a variable
Answer:
hello!
ninety two is a term, an expression, a constant but not a variable
hope it helps you!
Answer:
Ninety-two is all of the following except a variable
4 times 4 times 4 times 4
4 x 4 x 4 x 4 = 256
Hope this helps and have a great day!
Answer:
64
Step-by-step explanation:
4 times 4 times 4
4 times 4 is 16 then times that by 4 is 64
A person who had $1,000,000 gave $100 to charity. How much must a student who has $100 give to charity to give proportionally the same as the millionaire?
(100 / 1,000,000) × 100% = 0.01%
x = amount of money the student has to give.
(x / 100) × 100% = 0.01%
We can cancel out the 100's
x = $0.01
The student would have to give $0.01 or 1 cent
Okkkkkkkkkkkkkkkkkkkkkkkkk
Answer:
answers are in the boxes
-5x - 16 + 3x = -23 - 9x
???Anyone I need help
Answer:
x=−1
Step-by-step explanation:
Let's solve your equation step-by-step.
−5x−16+3x=−23−9x
Step 1: Simplify both sides of the equation.
−5x−16+3x=−23−9x
−5x+−16+3x=−23+−9x
(−5x+3x)+(−16)=−9x−23(Combine Like Terms)
−2x+−16=−9x−23
−2x−16=−9x−23
Step 2: Add 9x to both sides.
−2x−16+9x=−9x−23+9x
7x−16=−23
Step 3: Add 16 to both sides.
7x−16+16=−23+16
7x=−7
Step 4: Divide both sides by 7.
7x
7
=
−7
7
x=−1
Answer:
x=−1
Answer: x= -1
Step-by-step explanation:
Solve |7x+42| =14x. Identify the solution and an extraneous solution.
Answer:
x = 140.3333333........
Step-by-step explanation:
17x+421 = 14x
move the numbers with x's to the left and 421 to the right so it makes
17x then 14x is positive but moved to the opposite side it becomes negative.
Then 421 is positive on the left so moved to the right makes it negative.
Which is 17x-14x=(-421)
then you do 17x mines 14x which is 3x
3x = (-421)
Now your goal is to isolate your variable x. So divide both sides by 3 because x is multiplied by three you need to do the opposite.
x = 140.3333333..........
Answer:
Solution: x = 6;
Extraneous Solution: x = - 2
Step-by-step explanation:
If an Australian contractor ordered $340,000 U.S. Dollars worth of steel from an American company, what is the cost of the steel in Australian dollars? (Enter a number as an exact integer or decimal.)
Answer:
466895
Step-by-step explanation:
If you know the conversion, it's easy.
1 US dollar is about 1.37322 Australian.
so, you multiply 340,000 times 1.37322 and get about 466895 Australian dollars
Answer each question with a fraction. A cake that weighs 4 pounds was split equally among 8 children. How much cake did each child get?
Answer:
4/8 or 1/2
Step-by-step explanation:
Divide among 8 because its eight children
What is 3|-a+5| if a is 7
Answer:
6
Step-by-step explanation:
The I I is just absolute value, so it will give a positive result. if a=7,
3I-7+5I
-7+5=-2, but because this is absolute value, -2=2
Then you have 3(2),
3*2=6
Angles A and B are supplementary. If angle A= 137° then angle B is
Answer:
43°
Step-by-step explanation:
Angles A and B are supplementary
i. e. angle A + angle B =180°
137° + angle B =180°
angle B=180°-137°
=43°
26°
58°
X
What is the measure of angle x in degrees?
a. 70°
b. 84°
C. 96°
d. 122°
Answer:
b. 84
Step-by-step explanation:
180-26-58=96
180-96=84
what is the solution to 3/4b=8
Answer:
[tex]b=\frac{32}{3}[/tex]
Step-by-step explanation:
[tex]\frac{3}{4}b=8[/tex]
Multiply both sides by 4:
[tex]4\times \frac{3}{4}b=8\times4[/tex]
[tex]3b=32[/tex]
Divide both sides by 3:
[tex]\frac{3b}{3}=\frac{32}{3}[/tex]
[tex]b=\frac{32}{3}[/tex]
HELP IMMEDIATELY! Please help, on 1, 2 and 3. I’m so lost :(
When two variables are proportionate, they increase and decrease at the same ratio.
36 / 40 = 0.9
0.9 * 140 = 126
When y = 140, x = 126.
2. 150 / 30 = 5
5 * 48 = 240lbs
A person who weighs 48 lbs on the moon weighs 240lbs on Earth.
3. 110 / 66 = 0.6
0.6 * 80 = 48
y = 48 when x = 80
Solve4(a+4) - 2 = 34
Answer:
a = 5
Step-by-step explanation:
You have to isolate the variable by dividing each side by factors that don't contain a variable.
Answer or i can giv u the ansur if you want it
Step-by-step explanation:
Use the FOIL method to find the product below.
(x + 5)(x2 – 3x)
A. x3 + 2x2 - 15
B. x3+ 5x2 - 15x
C. x3+ 2x2 - 15x
D. x3 + 5x2 - 15
Answer:
work is pictured and shown
In a community garden shown to the right you want to plan a fence in a vegetable garden that is adjacent to your friends Garden you have at most 44 ft of fence and the fence must around all four sides of your garden what is the possible lengths of your garden
Answer:
Length of the garden = 13 ft
Width of the garden = 9 ft
Step-by-step explanation:
Let the length of my new garden = l ft
It's given in the question,
width of the garden = 9 ft
Formula to calculate the perimeter of a rectangle is,
P = 2(L + W)
Where L = length of the garden
W = width of the garden
P = perimeter of the garden
Length of the fence = 44 ft
By substituting values in the formula,
44 = 2(l + 9)
22 = l + 9
l = 22 - 9
l = 13 ft
Therefore, length of my new garden = 13 ft
Width of the garden = 9 ft
the ratio of men to women is 3:4 and the ratio of women to children is 5:2. write the ratio of men to women to children
Answer:
15:20:8
Step-by-step explanation:
You have to find a common factor between 4 and 5 because there are 3 men to 4 women and 5 women for 2 children, those numbers don't directly correlate. The easiest waay would be to multiply 4 and 5.
4 x 5 = 20
So we can correct the first ratio.
3 X 5 = 15
So the ratio of men to women is 15:20.
Now we find the ratio of women to children.
4 x 5 = 20
4 x 2 = 8
The ratio of women to children is 20:8.
Now that we have the same number in each ratio for women, we can combine them.
The ratio of men to women to children is:
15:20:8
What is 9+10? is it 21?
Answer:
I know the joke your trying to pull of :>
Step-by-step explanation:
But if u really need help it's 19
10+9=19
instead of 21
Hope you liked
Thank You