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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y-3x=13 solve for y
Answer:
Y=13+3x
Step-by-step explanation:
what is the sum of the equation? 15x-5x+5y+5y
Hey there!
ANSWER: [tex]10x+10y[/tex]EXPLANATION:[tex]15x-5x+5y+5y[/tex]
To solve, first subtract the 2 numbers with x.
[tex]15x-5x=10x[/tex]
Now let's add the two numbers y.
[tex]5y+5y=10y[/tex]
So the answer will be 10x + 10y because 15x-5x is equal to 10x and 5y + 5y is equal to 10y. And then you just add the x and y.
[tex]10x+10y[/tex]
Hope this helps!
[tex]-TestedHyperr[/tex]
Answer:
10x+10y
Step-by-step explanation:
15x-5x= 10x
5y+5y= 10y
10x+10y
Brenden read 120 pages in 90 minutes. Which of the following has the same constant
of proportionality as Brenden's rate?
90 pages in 60 minutes
60 pages in 30 minutes
200 pages in 150 minutes
150 pages in 120 minutes
Answer:
200 pages in 150 minutes.
Rachel's chocolate bar is 43% cocoa. If the weight of the chocolate bar is 68 grams, how many grams of cocoa does it contain? Round your answer to the nearest tenth.
Answer:
29.24 grams
Step-by-step explanation:
It is given that,
Rachel's chocolate bar is 43% cocoa
The weight of the chocolate bar is 68 grams
We need to find how many grams of cocoa does it contain. It means it will contain 43% of 68 grams. It can be solved as follows :
[tex]C=\dfrac{43}{100}\times 68\\\\C=29.24\ \text{grams}[/tex]
Hence, it will have 29.24 grams of cocoa.
-8(7x+8)=-8x+34 i need help solving this equation .
Answer:
x = -49/24
Step-by-step explanation:
The first step in solving this equation is to use the distributive property to eliminate the parentheses on the left side of the equation.
-8(7x+8) = -8x + 34
-56x - 64 = -8x + 34
Next, we should add 8x to both sides of the equation.
-48x - 64 = 34
Next, we can add 64 to both sides of the equation.
-48x = 98
Finally, we can divide both sides of the equation by -48 to get the variable x alone on the left side of the equation.
x = -98/48 = -49/24
Therefore, the correct answer is -49/24.
Hope this helps!
Which inequality represented the situation: clint has to spend a minimum of $75 in order to use his coupon at the store
Answer:
i think its c
Step-by-step explanation:
I think thats its C because 75 is the lowest it can go.
What is the justification for step 2 in the solution process?
12 - X= 7x+32
Step 1: -X= 7x + 20
Step 2: -8x= 20
O A. the multiplication property of equality
O B. the addition property of equality
O C. the division property of equality
OD. the subtraction property of equality
Answer:
c- Division property of equality
Step-by-step explanation:
You would subtract 7x from the other side
Then divide by 8 to get x by itself.
What are the factors of
x2- 100
(x - 50)
(x + 50)
(x - 10)
(x + 10)
(x - 102)
(x - 25)
(x + 4)
Answer:
BStep-by-step explanation:
thats what someone told me
Which expression is equal to
7 + 6 x 5 – 2?
OA) 13 X 5-2
O B) 7+ 11 – 2
O C) 13 X 3
OD) 37 - 2
Step-by-step explanation:
7+6x5-2
First we eliminate.
It isn't A. because they didn't use order of ops.
It isn't B. because they added 6 and 5 instead of multiplying.
Now, we simplify.
7+(6x5)-2
7+30-2
37-2
35
hope it helps!
I need help on number 2 , 3 and 4
hello please asappp!! thank you soo much!
Answer:
I am thinking its 28 degree Fahrenheit
Answer:
28F
Step-by-step explanation:
T(march)-T(january)=38F
T(january)=-10F
T(march)-(-10F)=38F
T(march)=38F-10F=28F
what is Z 2(2z -4)=4
Answer:
z=3
Step-by-step explanation:
2(2z -4)=4
Divide by 2
2/2(2z -4)=4/2
2z-4 = 2
Add 4 to each side
2z-4+4 = 2+4
2z = 6
Divide by 2
2z/2 = 6/2
z=3
show work please help
Angie claims that the statement "irrational numbers are real numbers" is NEVER true. Is Angie correct? If yes, explain why. If no, provide a counterexample.
Answer:
Angie is incorrect
Step-by-step explanation:
Real numbers are basically all numbers, even uncountable ones, which are irrational numbers.
0.4x - 5 = 0.08x + 3 srry I forgot the x
Answer:
x= 25.
Step-by-step explanation:
To isolate "x", I first moved all terms containing x to the left side of the equation: 0.32x-5=3 (0.4-0.08=0.32). Then moved all terms not containing x to the right side of the equation: 0.32x=8. Finally, I divided 8 by 0.32 which equals 25. Thus, x=25. I hope this helped!
7 less than three times Heather's
age is 14. Write an equation and
solve to find Heather's age.
which functions have Domains that are all Real numbers?
are there any answers you can choose from
Simplify 7x^2 + 3 - 5(x^2-4)
Answer:
2x^2 + 23
Step-by-step explanation:
For this problem, we will simply combine like terms after using the distributive property:
7x^2 + 3 - 5(x^2 - 4)
= 7x^2 + 3 - 5x^2 + 20
= 7x^2 - 5x^2 + 3 + 20
= 2x^2 + 23
Cheers.
Answer:
2x^2 + 23
Step-by-step explanation:
The third option
Given that p(x) is a polynomial in 2 and a € R. If (x – a) is a factor of p(I), then p(a) must be
Select one:
a. negative
b. irrational
C. Zero
d. positive
Jasmine was observing her farm from a hot air ballon when she accidently dropped her telescope. As always on earth the formula to find the distance has fallen , d, after t seconds, is the triangle D= 16t^2. How far has the telescope fallen after 1 second. First person to answer gets brainliest
Answer:
256
Step-by-step explanation:
all you had to do was plug (t=1) in t in the equation
so
16(1)^2=256
Answer:400 ft
Step-by-step explanation:
8a to the power of 6 times a to the power of 4 over 4a to the power of -3
Answer:
(8a)⁻¹⁸
1 / (8a)¹⁸
Step-by-step explanation:
(((8a)^6a)^4/4a))^-3
((8a)^6a*4/4a)^-3
((8a)^6)^-3
(8a)^6*(-3)
(8a)⁻¹⁸
1 / (8a)¹⁸
A restaurant manager states the number of customers that enter the
restaurant is equal to 3 times the number of people that buy a hotdog from
the hotdog cart plus 15.
The manager also states that the number of customers that enter their
restaurant is equal to 2 times the number of people that buy a hotdog from
the hotdog cart plus 60.
What number of people buying a hotdog from the hotdog cart across the
street makes the equation 3x +15 = 2x +60 true?
Answer:
Yes, that is true, and x=45.
Step-by-step explanation:
Yes, that's how you set up the equation I also listed the sets to solve it below:
3x+15=2x+60
-2x. -2x
--------------------
x+15=60
-15 -15
------------------
x=45
You can also plug it in to check your work.
3(45)+15=2(45)+60
135+15=90+60
150=150
If y= 55 when x = 120 what is the value of y when x = 60 ?
Answer:
equation calculator help u out
Answer:
y = 27.5
Step-by-step explanation:
120 (x) - 55 (y) = 65
65 / 2 = 32.5
60 - 32.5 = 27.5
x = 60 and y = 27.5
I really hope this helps...
HELP!!!Find the measures of angles 1, 2, and 3. Show your work. Choose the correct measures of each angle. A. m∠1=77° m∠2=103° m∠3=77° B. m∠1=77° m∠2=103° m∠3=76° C .m∠1=75° m∠2=103° m∠3=75°
angle 2 = 103° ( vertically opposite angles )
angle 1 = angle 3
103° + 103° + 2 ( angle 1 ) = 360° ( angle 1 = angle 3 )
or, 206° + 2 (angle 1) = 360°
or, 2(angle 1) = 360 - 206
or, 2(angle 1) = 154°
or, angle 1 = 154/2 = 77°
Answer:angle 2 = 103° (vertically opposite angles)
angle 1 = angle 3 = 77° (vertically opposite angles)
OPTION A IS CORRECT.Use f(x)=-3/2x+11, g(x)=x^2-7x, and h(x)=|15-9x| to evaluate the function h(2/3)= ________
Answer:
The answer is nine
Step-by-step explanation:
The required solution of the the function is 9.
It is required to evaluate the function.
What is function?A function is defined as a relation between a set of inputs having one output each. function is a relationship between inputs where each input is related to exactly one output. Every function has a domain and codomain or range. A function is generally denoted by f(x) where x is the input.
Given :
Now the given function is,
f(x)= -3/2x+11
g(x)=x^2-7x
h(x)=|15-9x|
To evaluate the function
h(2/3)
Put x = 2/3 in h(x) we get,
h(x) = |15 - 9(2/3)|
h(2/3)= |15 - 18/3|
h(2/3)= |15 - 6|
h(2/3)= |9|
h(2/3)= 9
Therefore, the required solution of the the function is 9.
Learn more about function here:
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#SPJ2
It cost Hudson $28.20 to send 188 text messages. How much would it cost to send 63 text messages? Good luck!
Answer:
$9.45
Step-by-step explanation:
1. First, you want to figure out how much one text message costs. To do this, divide the dollar amount (28.20) by the number of text messages (188). You get 0.15, or $0.15 per text message.
2. Using this $0.15 per text message, you can calculate how much 63 text messages costs. You simply multiply $0.15 by 63 to get $9.45, which is your answer.
Hope this helps! :)
Kayla is going to Japan for vacation. She will exchange $300 for Japanese yen. The exchange rate is $1=85.74 yen. How many yen will Kayla receive?
Answer:
25,722 yen
Step-by-step explanation:
300x85.74 is the simplest way to do this and I am just adding words to compete this
Answer:
85.74 x 300 $ = 25722 Yem
Sorry I also need help with this question
Answer: B
Step-by-step explanation:
(f/g) means to divide f(x) by g(x).
[tex](f/g)(x)=\frac{3x+2}{3x-5}[/tex]
To find the domain, you set the domain equal to zero and solve for x.
3x-5=0 [add both sides by 5]
3x=5 [divide both sides by 3]
x=5/3
Now, we know that B is the correct answer.
PLEASE HELP ITZ URGENTOO!!!!
what is the solution set to the following system of inequalities:
-7x+2y>6
4x+7y≤-7
WHAT IS THE SOLUTION SET THAT FALLS INTO THE FEASIBLE REGION!?
PLS HELPP
Answer: The solution set of the system of inequalities is the region above the dashed line (y=-2x-2) and below the solid line (y=x+4).
Please, see the attached graph.
Thanks.
HURRY AND ANSWER
Explain how you can tell if the expressions 7x – 4 and 6x – 4 – x are equivalent using the interactive tool.
Answer i think it is 0.7 but i do not know
Answer:
0.7 but i do not know :)
Step-by-step explanation: