Option c since the equation shifts 2 units vertically up compared to parent square root function
Peter and Pam are both avid swimmers. Last week Pete swam twice as many hours s Pam. Together they swam a total of 18 hours. How many hours did each swim?
Answer:
Peter swam 12 hours, Pam swam 6
Step-by-step explanation:
Pam = x
Peter = y
y = 2x (this is because Peter swam twice as much)
y + x = 18 (this is because they both swam a total of 18 hours)
2x + x = 18 (substitute for y)
3x = 18
x = 6 (pam)
Now, I just need to substitute x = 6 into original equation.
y = 2(6)
y = 12 (peter)
Answer:
Peter- 12 hours
Pam- 6 hours
Step-by-step explanation:
You can set it up an an equation.
P = Peter
18= P + (P/2)
Solve.
36=2P+p
36=3P
P=12
Peter swam 12 hours.
Then 18-12= 6, Pam's number of hours.
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Answer:
um... okie
Step-by-step explanation:
Perform the indicated operation and express the result as a simplified complex number in the form a+bi. Do not put any spaces between your characters. If your answer includes a number that is not an integer type it as a decimal rounded to the nearest hundredth.
(3+4i)/(2-i)
simplifies to a+bi where:
A=
B=
9514 1404 393
Answer:
0.40+2.20i
Step-by-step explanation:
To clear the denominator of its imaginary part, multiply numerator and denominator by the conjugate of the denominator.
[tex]\dfrac{3+4i}{2-i}=\dfrac{(3+4i)(2+i)}{(2-i)(2+i)}=\dfrac{6-4+3i+8i}{4+1}=\dfrac{2+11i}{5}\\\\=\boxed{0.40+2.2i}[/tex]
_____
Additional comment
This "multiply by the conjugate" is also used to clear radicals from the denominator. It takes advantage of the factoring of the difference of squares:
(a -b)(a +b) = a² -b²
Please, help me with this question
Answer:
x=0
Step-by-step explanation:
2.5^2x = 1
2.5^2x=2.5⁰
2 x = 0
x=0
please help easy points
Answer:
<=3 let me know if its correct or not if it's not I'm so srry in advance if it's right your welcome
Arrange the following in ascending order b) 3.14, 31.4, 0.314, 3 2/4, 3.141
c) 2.0867, 0.28677, 28.067, 0.2867, 2.867
Step-by-step explanation:
b) 3.14, 31.4, 0.314, 3 2/4, 3.141
3.14, 31.4, 0.314, 3.5, 3.141
0.314, 3.14, 3.141, 3.5, 31.4
PLEASE MARK ME AS BRAINLISTSue has 45 shells in her shell collection. Jared, who just started his collection, has
5 shells. Sue’s collection is how many times larger than Jared’s? I need the equation: and answer
Answer:
9
step by step:
sue = 45 shells
Jared= 5 shells
therefore 45÷5 =9
Answer:
9 times bigger
Step-by-step explanation:
45/5= 9 times bigger
why?
because "how many times bigger (or larger)"
Sue has 45 shells
and Jared has 5 shells
divide them and u get the answer
Help maths please eeeee
Answer: row 4 is “14441’’
Step-by-step explanation: so first square is 4 second is 4 and third is 1
Answer:
1 4 6 4 1
Step-by-step explanation:
By summing the 2 numbers above them, as instructed , then
1 + 3 = 4 and 3 + 3 = 6
The row is then
1 4 6 4 1
Consider the line y=-3x+3.
Find the equation of the line that is parallel to this line and passes through the point (-4, 5).
Find the equation of the line that is perpendicular to this line and passes through the point (-4, 5).
Equation of parallel line:
ロ=ロ
3
Equation of perpendicular line:
Answer:
[tex]y= 3x+17; y= -\frac13x +\frac{11}3[/tex]
Step-by-step explanation:
First problem. If you want a parallel to a given line, you keep the slope.
Then we use the point-slope form of a line
[tex]y-y_0=m(x-x_0)[/tex] and we plug in there everything we need.
[tex]y-5=3(x+4) \rightarrow y=3x+12+5\\y=3x+17[/tex]
The second is quite similar. This time we want the perpendicular. It means that the product of the slopes has to be -1.
[tex]3\cdot m = -1 \rightarrow m=-\frac13[/tex]
At this point we have everything, let's replace and write down the line in a better looking form
[tex]y-5=-\frac13(x+4) \rightarrow y= -\frac13 x -\frac43 +5\\y= -\frac13x -\frac43 +\frac{15}3 \rightarrow y= -\frac13x +\frac{11}3[/tex]
Find the value for x
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Answer:
117 units
Step-by-step explanation:
The ratio of boys to girls in a class is 3:5. There are 40 students in class.How many students are boys?
Answer:
1. 40/8 = 5
2. 3x5 : 5x5
3. 15:25
There are 15 boys to 25 girls in the class
Step-by-step explanation:
does anyone know the answer to this? thank you!
Answer:
[tex] \alpha = \frac{arc \: length}{radius} \\ arc \: length = \alpha \times radius \\ = 50 \times \frac{\pi}{180} \times 7 \\ arc \: length = 350 \times \frac{\pi}{180} \\ = 1.94 \times \pi \\ = 6.1metre \\ thank \: you[/tex]
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Answer:
d
Step-by-step explanation:
Answer:
D. Step-by-step explanation:Solve the equation for X:
4x2 + 15x = 4
Answer:
15x=-4
Step-by-step explanation:
can somebody help like rn
Answer:
4
Step-by-step explanation:
(25-18+5)/4=4
(insert the variables)
Write the following number in expanded form.
176,945,596
Answer:
= 176,945,596
Step-by-step explanation:
100,000,000 + 70,000,000 + 6,000,000 + 900,000 + 40,000 + 5,000 + 500 + 90 + 6 = 176,945,596
= 176,945,596
(Hope this helps can I pls have brainlist (crown)☺️)
Plz help me with this one
Answer:
5/6
Step-by-step explanation:
-5x-3=-9
Add 3 to both sides.
-5x=-6
Divide both sides by -5.
x=5/6
The length of the fence is 12 1/2 feet and the width of the fence is 10 3/4 determine the perimeter
Answer:
46 1/2 feet
Step-by-step explanation:
Perimeter is defined as 2 × length + 2 × width which is 12.5 × 2 + 10.75 × 2 which works out to 46 1/2 or 46.5 feet which is the answer.
The perimeter of rectangle with length of the fence is [tex]12\frac{1}{2}[/tex] feet and the width of the fence is [tex]10\frac{3}{4}[/tex] is 46.5 feet.
What is Area of Rectangle?The area of Rectangle is length times of width.
Given,
The length of the fence is [tex]12\frac{1}{2}[/tex] feet
[tex]12\frac{1}{2}[/tex] is changed to improper fraction 25/2
the width of the fence is [tex]10\frac{3}{4}[/tex]
[tex]10\frac{3}{4}[/tex] is changed to improper fraction 43/4
Now we know that perimeter of rectangle =2(Length+width)
=2(25/2+43/4)
LCM of 2 and 4 is 4
=2(50+43)/4
=93/2
=46.5
Hence the perimeter of rectangle with length of the fence is [tex]12\frac{1}{2}[/tex] feet and the width of the fence is [tex]10\frac{3}{4}[/tex] is 46.5 feet.
To learn more on Rectangles click:
https://brainly.com/question/20693059
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Simplify the following expression.
-3m + (-2x) + 4m + 2x
Answer:
[tex]m[/tex]
Step-by-step explanation:
Combine like terms
[tex]-3m+(-2x)+4m+2x[/tex]
[tex](-3m+4m)+(-2x+2x)[/tex]
[tex](1m)+(0)[/tex]
[tex]m[/tex]
Answer:
m
Step-by-step explanation:
Simplify like-terms first:
-3m + (-2x) + 4m + 2x
m + (-2x) + 2x
Both x's cancel each other out, so you're left with:
m
A butcher makes meatloaf by mixing hamburger which sells for a $1.89/lb and sausage which sells for $2.99/lb how many pounds of each should be used if he makes 30 lb of mix and sell it for $2.33/lb
Answer:
12 and 18
Step-by-step explanation:
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how far does the object go
2 hours at 75km\h
Answer:
150 miles per hourStep-by-step explanation:
Objective: finding the distance
Formula: speed × time = distance
75 × 2 = 150
final answer: 150 mph
If y varies inversely as (x-3). If y = 5 when x =7 find y when x=5
Given that y varies inversely as (x-3) .When y is 5 x is 7 . We need to find out the value of y when x is 5 .
• According to the Question ,
[tex]\sf\longrightarrow y \propto \dfrac{1}{x-3}\\\\\sf\longrightarrow y =\dfrac{k}{x-3}[/tex]
where k is a constant .And ,
[tex]\sf\longrightarrow 5 =\dfrac{k}{7}\\[/tex]
[tex]\sf\longrightarrow k = 7*5 \\ [/tex]
[tex]\bf\longrightarrow k = 35[/tex]
Now , when x is 5 ,
[tex]\sf\longrightarrow y = \dfrac{k}{x-3} \\ [/tex]
[tex]\sf\longrightarrow y =\dfrac{35}{5-3}\\ [/tex]
[tex]\sf\longrightarrow y=\dfrac{35}{2}\\ [/tex]
[tex]\sf\longrightarrow \boxed{\red{\sf y = 17.5 }} [/tex]
1 angle and 5 angle are what kind of angles
Answer:
They r corresponding angles.
how do u add and subtract rational numbers
Answer:
ration number such as 2 and 3
2 plus 3 is 5
3 minus 2 is 1
3 by 5 plus 2 by 5 is 5 by 5 which is 1
3 by 5 plus 2 by 4 take lcm and add the numerator .
Blake buys a couch for $1000 and sells it for $1200. Calculate his profit as a percentage of the cost price.
Answer:
He earned 200 dollars
Step-by-step explanation:
He got a 20% profit.
Which of the following functions is graphed below?
Answer:
The answer is A. For some reason when it goes to the right, it’s a negative and vice versa. Then to go up is just +2
Step-by-step explanation:
Sam and Andre shared a number of pennies in the ratio 8:3. They received a total of 671 pennies. How many more pennies did Sam receive than Andre?
Answer:
Sam had 488
Andre had 183
488:183
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(-1, 5) (3,y) m=5 whats the value of my and whats the slope <3
Answer:
slope: 5
y = 25
Step-by-step explanation:
slope is m, and m = 5, so slope is 5.
y-5=5(x+1)...........set up point slope form
y-5=5x+5............distribute 5
y=5x+10..............add 5 to both sides
y=5(3)+10............plug in 3
y=25.....................simplify
Step-by-step explanation:
I am not sure you posted the question correctly.
m is the slope already. this comes from the point slope form
y - y1 = m(x - x1)
where x1, y1 are the coordinates of a point on the line.
so, the slope is 5 (and cannot be <3).
so, using the first point we get
y - 5 = 5(x - -1) = 5(x + 1) = 5x + 5
therefore
y = 5x + 10
for (3, y) we put 3 in as x
y = 5×3 + 10 = 15 + 10 = 25
it is (3, 25) for m = 5.
Write the slope- intercept form of the equation