Answer:
(- 1, - 2 ) and (1, 2 )
Step-by-step explanation:
Given the 2 equations
x² + y² = 5 → (1)
y = 2x → (2)
Substitute y = 2x into (1)
x² + (2x)² = 5
x² + 4x² = 5
5x² = 5 ( divide both sides by 5 )
x² = 1 ( take the square root of both sides )
x = ± [tex]\sqrt{1}[/tex] = ± 1
Substitute these values into (2) for corresponding values of y
x = - 1 : y = 2(- 1) = - 2 ⇒ (- 1, - 2 )
x = 1 : y = 2(1) = 2 ⇒ (1, 2 )
The solution with smaller x- value is (- 1, - 2 )
The solution with the larger x value is (1, 2 )
Write the slope-intercept form of the equation of the line through the given points.
through: (5,1) and (1, -3)
Answer:
y = x-4
Step-by-step explanation:
First find the slope
m = ( y2-y1)/(x2-x1)
= ( -3 -1)/( 1 - 5)
= -4/-4
= 1
Then using slope intercept form
y = mx+b where m is the slope and b is the y intercept
y = 1x+b
Substitute one of the points in
1 = 5 +b
1-5 = b
-4 =b
y = x-4
Please help
a. Start with: 60
Rule: Increase by 20%
60 , 72, ?, ?, ?
Answer:
60, 72, 86.4, 103.68, 124.42
Step-by-step explanation:
How do I add 20% to a number?
Divide the original number by 100 to get 1% of it.
Multiply 1% by your desired percentage, in this case 20.
Add the product of the previous step to your original number.
Congratulate yourself on adding 20% to your number!
Answer:
60, 72, 86.4, 103.68, 124.416, ...Step-by-step explanation:
Given sequence:
60, 72, ...The rule is adding 20%
Adding 20% is converted to common ratio:
x + 20% =120% of x =1.2xThe sequence is the GP with common ratio of 1.2:
60, 72, 72*1.2= 86.4 , 72*1.2² = 103.68 , 72*1.2³ = 124.416A ball is thrown straight up from the top of 128 foot building with an initial speed of 32 feet per second. How long will it take for the ball the hit the ground? How high will the ball be after 3 seconds?
Define a variable for the unknown quantity below.
"the number of players on a football team who also have a job"
Step-by-step explanation:
Gladys blister is luggage
If you roll a fair 6 sided die and then roll a second fair what is the probability that you roll 1, 2, or 3 on the first die and roll 5 on second
Given:
A fair 6 sided die is rolled and then a second fair die is rolled.
To find:
The probability that you roll 1, 2, or 3 on the first die and roll 5 on second.
Solution:
If two fair die are rolled, then the total possible outcomes are
S= {(1,1), (1,2), (1,3), (1,4), (1,5), (1,6), (2,1), (2,2), (2,3), (2,4), (2,5), (2,6), (3,1), (3,2), (3,3), (3,4), (3,5), (3,6), (4,1), (4,2), (4,3), (4,4), (4,5), (4,6), (5,1), (5,2), (5,3), (5,4), (5,5), (5,6), (6,1), (6,2), (6,3), (6,4), (6,5), (6,6)}
So, total outcomes = 36.
Favorable outcomes of getting 1, 2, or 3 on the first die and roll 5 on second are (1,5), (2,5), (3,5).
So, favorable outcomes = 3
We know that
[tex]\text{Probability}=\dfrac{\text{Favorable outcomes}}{\text{Total outcomes}}[/tex]
[tex]\text{Probability}=\dfrac{3}{36}[/tex]
[tex]\text{Probability}=\dfrac{1}{12}[/tex]
Therefore, the required probability is [tex]\dfrac{1}{12}[/tex].
Rosie has £m in her pocket she is given £4 pocket money write an expression for how much money she has now
Answer:
m+4
Step-by-step explanation:
She currently has a variable "m" in her pocket which we don't know, BUT we know how much she is getting, which is 4.
helpppp! The function f(x) = 4(2) models the
length of an image in centimeters after it
has been enlarged by 100% x times.
Which of these is the length of the image
after it has been enlarged 3 times?
Answer:
after it has been enlarged 3 times
To travel to school, Gavin must walk to the bus stop. The bus trip covers
four times the distance that he walks. He then needs to walk 500 m to
school. If the school is 10 km away from Gavin's home, how far does he
walk to the bus stop?
Answer:
2,375 m
Step-by-step explanation:
The computation of the distance from his walk to the bus stop is given below:
Let us assume he walks be x
So the bus trip be 4x
4x + 500m
From Home to school, it would be 10km
As we know
1km = 1000m
So for 10km it would be = 10,000 m
4x + 500 m = 10,000 m
4x = 10,000 m - 500 m
4x = 9,500 m
x = 2,375 m
A garden table and a bench cost $935 combined. The garden table costs $85 more than the bench. What is the cost of the bench?
Answer:
The bench costs $425
And the Table costs $510
Step-by-step explanation:
table + bench = $ 935
$85 + 2b = $935
$935 - $ 85 = $ 850
$850/ 2 = 425 = b
PLS HELP ME IM STUCK ON THIS QUESTION
Answer:
ASA
Step-by-step explanation:
Charlotte is at a baseball game in the upper deck of the stadium. She is 200
200
feet away from home plate. If the angle of depression to the field is 38°
38
°
, at what height above the field is Charlotte sitting?
Answer:
123.1323
Step-by-step explanation:
Please help me with this!
Answer:
-6
Step-by-step explanation:
The point Q(-6, 3) is reflected over the y-axis. What are the coordinates of the resulting
point, Q'?
Answer:
Q' = (6,3)
Step-by-step explanation:
You can think of this problem in two ways:
Graph:
I've shown my working for this, where I've counted how many units it takes to get from point Q to the axis through which im reflecting. There are 6 units between Q and the y axis, so naturally there should be 6 units between Q' and the y axis.
Coordinates:
Since this is a reflection through an axis, we can assume that the the x coordinate of point Q' will be equal and opposite to Q. Therefore, while the x coordinate of Q was -6, of Q' it's 6
Select all the expressions that have a value of 40 when x = 10.8.
4,320 - X
288
+ 16
(x2 - 18) + 33.52
(1,752 + x) – 162
+ 36
12
Answer:
the third expression
Step-by-step explanation:
x=10.8
(x2 / 18) + 33.52
10.8 x 10.8=116.64
116.64 divide by 18=6.48
6.48 + 33.52=40
5x – 2x = 12
How do I solve
Answer:
4
Step-by-step explanation:
Replace X with 4
(5*4)-(2*4) = 12
Answer:
x =4
Step-by-step explanation:
5x - 2x =12 (Subtract 5x - 2x and you'll get 3x)
3x = 12 (Now divide by 3 from both sides to get x)
x = 12/3 (Now that you got x, you want to simplify)
x = 4 (12 divided by 3 is 4)
All of the following fractions are equal to
2
except:
9
18
20
40
оооо
NEXT QUESTION
ASK FOR HELP
Answer:
Except 4 out of 6
the answer is the third one
Help please it finding the area of a composite figure
(y - 3)-3/2+(y-3)-1/2=0
Answer:
y=4
Step-by-step explanation:
Hi can someone please help me with this?
PLEASE HELP ME ILL MAKE BRAINLIEST
Answer:
y=-3
Step-by-step explanation:
can someone pls pls find the value for (-14/9) x 3/5 x (-4/7) x 15/16
In a coffee shop, the average drink is currently $4.50 while the average pastry is $2.25. You've made a total of $5,250 today. Write an equation to model the breakdown of your sales between drinks and pastries.
Answer:
[tex]4.50x+2.25y=5,250[/tex] where [tex]x[/tex] denotes number of drinks and [tex]y[/tex] denotes number of pastries.
Step-by-step explanation:
Let [tex]x[/tex] denotes number of drinks and [tex]y[/tex] denotes number of pastries.
Cost of the average drink = $4.50
Cost of the average pastry = $2.25
Total amount = $5,250
Therefore,
[tex]4.50x+2.25y=5,250[/tex]
Billy Bob bench presses 200 lbs. He wants to bench more than 300 lbs. If he improves by 20 lbs a month how long will it take him to bench over 300 lbs.
Write your answer like x>3 make sure you use the right sign.
WILL GIVE BRAINLIEST
it will take him 5 months
Find how much more he wants to bench:
300-200 = 100
He needs to increase by at least 100 pounds.
So 20 pounds per month has to be greater than 100 pounds.
20x > 100
Divide both sides by 20:
X > 5 months
x + 5 = 17
×=____ help
Answer:
The answer is X=-2
Step-by-step explanation:
Subtract 5 from both sides
The five cancels itself out on the left side
X+5=17
-5 -5
x = -12
Answer:
12
Step-by-step explanation:
Move all terms not containing x to the right side of the equation. Hope this helped! :)
PLEASE HELPPPP DUE IN 2 minutes
Answer:
16
Step-by-step explanation:
because it is
Answer: 16
Step-by-step explanation: Here's a little tip for you. Any number can be converted to a fraction if you use 1 as the denominator:
64/1
So now that we've converted 64 into a fraction, to work out the answer, we put the fraction 1/4 side by side with our new fraction, 64/1 so that we can multiply those two fractions.
That's right, all you need to do is convert the whole number to a fraction and then multiply the numerators and denominators. Let's take a look:
1x64/4x1 = 64/4
In this case, our new fraction can actually be simplified down further. To do that, we need to find the greatest common factor of both numbers:
The GCF of 64 and 4 is 4.
We can now divide both the new numerator and the denominator by 4 to simplify this fraction down to its lowest terms:
64/4 = 16
4/4 = 1
When we put that together, we can see that our complete answer is:
16/1
The complete and simplified answer to the question what is 1/4 of 64 is:
16
Hopefully, this tutorial has helped you to understand how to find the fraction of any whole number. You can now go give it a go with more numbers to practice your newfound fraction skills.
This Is My Most Complex Answer Yet, If I Helped, Please Mark Me As Brainliest, Have A Great Day :D
Need help with this.......
Answer:
The length of the hypotenuse = 14 square + 10 square
The length of the hypotenuse =14×14 + 10×10
=296ft
Graph:
Y=X +3 squared -4
Answer:
I love algebra anyways
The ans is in the picture with the steps how i got it
(hope this helps can i plz have brainlist :D hehe)
Step-by-step explanation:
What are the domain and range of the function f(x)=square root x-7 +9?
Answer:
Domain is all real numbers greater than or equal to 7. Range is all real numbers greater than or equal to 9.
Step-by-step explanation:
The domain is possible x-values while the range is possible y-values. This question look like
[tex] \sqrt{x - 7} + 9[/tex]
The domain of square root function cant have a the radical inside being a negative number because we can't take the sqr root of a negative number and graph it on a cartisean plane We can take the sqr root of 0 . So we set x-7=0. And which x=7 so the domain is all real numbers that are equal to or greater than 7. The range of a sqr root function can only yield any positive y-values. So we must find the lowest point of it. Since the lowest x value we can possible use is 7 we plug it in
[tex] \sqrt{7- 7} + 9[/tex]
which equals 9. So the range is all real numbers greater than or equal to 9.
Answer:
I think that the short answer will be C) on edge.
Step-by-step explanation:
Edge 2021.
Which expression has a value that is 6 times the value of the expression 63 – 3y?
A. 6 X 63 - 3y
B. 63 - 3y + 6
C. 63+ (6 x 3y)
D. 6 X (63 - 3y)
o
Answer:
D. 6x(63-3y)
Step-by-step explanation:
You would be multiplying
Step-by-step explanation:
You want to be very carful with the parentheses for this question.
You want to find the equation that is 6 times the value of 63 - 3y, so you want to put the equation 63 - 3y in one big parentheses.
6 x (63 - 3y)
There are 42 girls and 56 boys who want to play a game. Each team will have both boys and girls on it. The ratio of boy to girls has to be the same for each team. Everyone must participate in the game. What is the greatest number of teams that can be formed?
Answer:
7 teams with 6 girls and 8 boys on each team
Step-by-step explanation:
Both 42 (girls) and 56 (boys) are divisible by 7 (getting 6 and 8).
Therefore, there would be 6 girls and 8 boys on each team.
The ratio would be 6 girls:8 boys per team.
Check:
6•7=42 ––(6 girls amongst 7 teams = 42 girls total)
8•7=56 ––(8 boys amongst 7 teams = 56 boys total)