Answers
Answer:
D
Step-by-step explanation:
2^2 + x^2 = 4^2
4 + x^2 = 16
16-4=12
Related Questions
what are the solutions to the quadratic equation 9x(2) + 64 = 0?
and
what is the factored form of the quadratic expression 9x(2) + 64?
Answers
Answer:
Solution of given quadratic equation is
[tex]$ (\frac{8i}{3}, -\frac{8i}{3} ) $[/tex]
Step-by-step explanation:
The given quadratic equation is
[tex]9x^2 + 64 = 0[/tex]
The general form of the quadratic equation is given by
[tex]ax^2 + bx + c = 0[/tex]
Comparing the general form with the given quadratic equation
[tex]a = 9\\b = 0\\c = 64[/tex]
The solutions of the quadratic equation is given by
[tex]$x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$[/tex]
Substitute the values of a, b and c
[tex]$x=\frac{-0\pm\sqrt{0^2-4(9)(64)}}{2(9)}$[/tex]
[tex]$x=\frac{\pm\sqrt{-2304}}{18}$[/tex]
[tex]$x=\frac{\pm48i}{18}$[/tex]
[tex]$x=\frac{\pm8i}{3}$[/tex]
[tex]$x=\frac{8i}{3}$[/tex]
and
[tex]$x=-\frac{8i}{3}$[/tex]
Where i represents iota which means that the given quadratic equation has complex roots.
So the solution of given quadratic equation is
[tex]$ (\frac{8i}{3}, -\frac{8i}{3} ) $[/tex]
The factored form of the given quadratic equation is
[tex]$ (x+ \frac{8i}{3}) (x- \frac{8i}{3}) = 0 $[/tex]
Johnstone Rent-A-Car John has a fixed rate of $49 weekly pay is $14 per week for the optional insurance and he spends $12 weekly on gas but will is cost me per month
Answers
Answer:
49+14+12= 75
Step-by-step explanation:
A bag contains 6 red tiles and 5 yellow tiles. Another bag contains 8 red tiles and 2 yellow tiles. A token is removed from each bag. What is the probability that both tiles are yellow?
Answers
Answer:
The probability is most likely to occur
Step-by-step explanation:
What are the x-intercepts of the graph of the function below?
y= x^2+3x – 28
A. (7,0) and (4,0)
B. (-7,0) and (-4,0)
C. (7,0) and (-4,0)
D. (-7,0) and (4,0)
Answers
y = x^2 + 7x - 4x -28
y = (x^2 + 7x) - (4x - 28)
y = x(x + 7) - 4(x + 7)
y = (x + 7)(x - 4)
y = -7, 4
The answer is D. (-7, 0) and (4, 0)
Find the slope of the line that passes through the points A(-6, 2) and B(5, -1).
Answers
Answer:
-3/11
Step-by-step explanation:
The slope of the line is given by
m = (y2-y1)/(x2-x1)
= (-1-2)/(5--6)
= -3/(5+6)
= -3/11
Answer:
[tex]\frac{-3}{11}[/tex]
Step-by-step explanation:
You use the formula to solve:
[tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m =\frac{-1-2}{5+6}\\m = \frac{-3}{11}[/tex]
A kayaker is paddling at a steady rate for 10 miles with the river current. She can only travel 4 miles against the current in the same amount of time. If the rate of the current is 8 miles per hour, what is the kayaker’s rate in still water (without the current)?
Answers
Answer: 18.66 miles per hour.
Step-by-step explanation:
The velocity of the Kayak can be written as the velocity of the kayak in still water plus the rate of the current.
If K is the velocity of the kajak, and C the velocity of the current, we have that:
When the kajak moves along with the current, for a given time T.
(K + C)*T = 10mi
when the kajak move against the current:
(K - C)*T = 4mi
now we can replace C by 8mph, and take the quotient of both equations:
((K + 8mph)*T)/(K - 8mph)*T)) = 10mi/4mi
(K + 8)/(K-8) = 10/4
K + 8 = (K- 8)*10/4
K + 8 = K*10/4 - 20
K*10/4 - K = K*6/4 = 20 + 8 = 28
K = 28*4/6 = 18.66
So the rate of the kajak is 18.66 miles per hour.
The graphs of two exponential functions, fand g, are shown on the coordinate plane below.
y
4-
9
2
-2
2
2
If g(x) = f(x) + k, what is the value of k?
OA. 7
B.
6
C.
-6
D.
-7
Answers
｡☆✼★ ━━━━━━━━━━━━━━ ☾
As you can see, the graph has shifted upwards by 7 units
Thus, the correct option would be A. 7
Have A Nice Day ❤
Stay Brainly! ヅ
- Ally ✧
｡☆✼★ ━━━━━━━━━━━━━━ ☾
A small business takes out a loan for $14,000 at 7% simple interest over the course of 4 years. What is the monthly payment?
a)$291.67
b)$326.67
c)$373.33
d)$408.33
Answers
If the spinner is spun 120 times, how many times would you expect it to land on red or orange?
A) Around 24 times
B) Around 48 times
D) exactly half of the time
Answers
Answer:
D
Step-by-step explanation:
Answer:
around 48 times
Step-by-step explanation:
the total is 5
the red and orange equals to 2
2/5 times 120
240/5
Can someone pleaaase help its timed
Answers
Answer:
C. 48 cubic units
If you fill up the whole prism and it takes exactly 48 cubes then you did it correctly.
Step-by-step explanation:
To find the volume of a rectangular prism you have multiply the base by the height by the width.
So the volume is b*h*w = 8*2*3 = 48
C. 48 cubic units
Since 1 cube takes 1 unit that means it takes 48 cubes to fill up the whole thing.
If you fill up the whole prism and it takes exactly 48 cubes then you did it correctly.
Can someone help me with 5?
Answers
Answer:
C
Step-by-step explanation:
"at least" is denoted by ≥. The amount of figures Carlos and Josh have can be represented by 5x + 4 and 3x + 14 respectively where x is the amount of figures in a set. We can write:
5x + 4 ≥ 3x + 14
2x ≥ 10
x ≥ 5
d
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Evaluate the expression 4^3 Divided by (7-3)x2 need fast will mark brainliest
Answers
Answer:
First parentheses
7-3=4
4^3 / 4 x 2
Next exponents
do 4^3
4 x 4 x 4 = 64 x 4 = 256
256 / 4 x 2 is left
256 / 4 = 64
64 x 2 = 128
128
Hope this helps
Step-by-step explanation:
If using the method of completing the square to solve the quadratic equation
x2 + 8x – 4 = 0, which number would have to be added to "complete the square"?
Answers
A fence is made from 32 identical pieces of wood, each of length 2 metres correct to nearest centimetre.
Calculate the lower bound for the total length of wood used to make this fence.
Write your answer in full calculator display.
Answers
200cm which has been rounded up to to the nearest cm meaning it could be 199.5cm. Then times it by 32.
199.5 x 32 = 6384cm
The length of a fence is required in centimeters.
The total length of wood used to make the fence is [tex]6400\ \text{cm}[/tex].
The number of pieces of wood for making the fence is 32.
The length of each piece of wood is 2 meters.
Converting meters to centimeters
[tex]1\ \text{m}=100\ \text{cm}[/tex]
[tex]2\ \text{m}=2\times100=200\ \text{cm}[/tex]
The entire length will be
[tex]32\times 200=6400\ \text{cm}[/tex]
So, the total length of wood used to make the fence is [tex]6400\ \text{cm}[/tex].
Learn more:
https://brainly.com/question/21378313
https://brainly.com/question/21149101
For all negative numbers n, y = nx passes through the same quadrants as
y=-3x.
Answers
nx=-3x
n=-3x/x
n=-3
Answer:
Step-by-step explanation:
so i think its true
The line y−6=2(x+4) passes through which point?
Answers
Plz help asap. Ahdhduebdhf
Answers
Answer:
x = 125
Step-by-step explanation:
all of the angles in a triangle must add up to 180, so 25 + 30 + x = 180. you can subtract 25 and 30 from both sides and you are left with x = 125.
hope it helps!
________________________________
Hey!!!
Solution,
X+30+25=180(Sum of angle in traingle)
or,X+55=180
or,X=180-55
X=125
The value of X is 125.
Hope it helps
Good luck on your assignment
Stay safe
__________________________________
I know its summer and everyone done with school but someone help
Answers
Answer:
1.55
Step-by-step explanation:
3750+900 = 4650
4650/3000 = 1.55
Answer:
1.25
Step-by-step explanation:
Evaluate (-A) 2 for A = 5, B = -4, and C= 2.
0-25
-10
10
25
Answers
Answer:
-10
Step-by-step explanation:
Substitute 5 into the equation
(-5)2
Simplify and get -10
Triangle G F H is rotated to form triangle G prime F prime H prime. Which type of transformation maps triangle GFH onto triangle G'F'H'? translation reflection rotation dilation
Answers
Answer:
Rotation
Step-by-step explanation:
The type of transformation maps triangle GFH onto triangle G'F'H' will be; Rotation.
How does transformation of a function happens?The transformation of a function may involve any change.
Usually, these can be shift horizontally (by transforming inputs) or vertically (by transforming output), stretching (multiplying outputs or inputs) etc.
If the original function is y = f(x), assuming horizontal axis is input axis and vertical is for outputs.
We are given that Triangle GFH is rotated to form triangle G prime F prime H prime.
Stretching:
Vertical stretch by a factor k: [tex]y = k \times f(x)[/tex]
Horizontal stretch by a factor k: [tex]y = f\left(\dfrac{x}{k}\right)[/tex]
The rotation transformation maps triangle GFH onto triangle G'F'H'
Learn more about transforming functions here:
https://brainly.com/question/17006186
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In the grade 9, the ratio of girls to boys is 17:8. What percent of the grade 9 are boys?
Answers
Answer:
32%
Step-by-step explanation:
Let's say there are 17 girls and 8 boys. So there is 25 people in total.
8/25 = 32/100=32%
Circular lawn has a row of bricks around the edge the radius of the lawn is about 20 feet which is the best estimate for the area of the grass in the long use 3.14 for pie select one 125 ft 125 square ft 1250 ft 1256 square feet
Answers
Answer:
Area of the grass in the circular lawn is 1256 square feet
Step-by-step explanation:
Lawn is in the shape of circle having radius = 20 feet
Area of the circular lawn will be represented by the formula,
Area = πr² [ Here 'r' = Radius of the circular lawn]
= (3.14)(20)²
= 3.14 × 400
= 1256 square feet
Therefore, area of the grass in the circular lawn will be 1256 square feet.
here are the numbers of people in a restaurant on the first 15 days of july.
21, 30, 14, 23, 38, 46, 33, 23, 27, 12, 42, 48, 44, 36.
Show the data on an ordered stem and leaf diagram.
Answers
Answer:
Below is the stem and leaf diagram
The required stem-and-leaf diagram will be:
Stem Leaf
1 2 4
2 1 3 3 7
3 0 3 6 8
4 2 4 6 8
What is the stem-and-leaf diagram?A stem-and-leaf diagram is a quantitative assessment of a collection of data in which the data values are divided into a "stem" (the first digit of the number) and a "leaf" (the remainder of the number) (the last digit of the number).
For instance, 53 may be written as
Stem Leaf
5 3
For the given data :
21, 30, 14, 23, 38, 46, 33, 23, 27, 12, 42, 48, 44, 36.
The above numbers of people in a restaurant on the first 15 days of July.
The required stem-and-leaf diagram will be:
Stem Leaf
1 2 4
2 1 3 3 7
3 0 3 6 8
4 2 4 6 8
To learn more about the stem-and-leaf diagram click here:
https://brainly.com/question/8450114
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Find the midpoint of the line segment with end coordinates of: ( 1 , 7 ) and ( 3 , − 2 ) Give coordinates as decimals where appropriate.
Answers
Answer:
(2, 2.5)
Step-by-step explanation:
To find the midpoint, the middle point of a line segment
Add the x coordinates together and divide by 2
(1+3)/2 = 4/2 =2
Add the y coordinates together and divide by 2
(7-2)/2 = 5/2 =2.5
___________________________________
The right answer is (2,2.5)
please see theattachedpicture for full solution
Hope it helps
Good luck on your assignment
Stay safe...
__________________________________
Please help with number three and number seven
Answers
Answer:
Number three and seven are both A
Step-by-step explanation:
Answer:
3) c 7) d
Step-by-step explanation:
3) the little circle over top the -4 indicates it doesn't actually equal -4 but everything above it
7) when dividing all of the prices of the products by the weight the lowest number you get is $1.28 per pound of alfalfa.
What is the length of the blue segment in OL below?
Answers
Answer:
c 3.95 that's what I think
19 is the top and 20 is the bottom what is 19 in a fraction
Answers
Answer:
95%
Step-by-step explanation:
you meant what is 19 in a percentage, it means that it is 19/20. So you do 19 divided by 20. Do the math and get .95 ..95=95% .You get this by multiplying te decimal by 100 to find the percentage
Answer:
95%
When it says in percent, just times the fraction by 100
19/20 * 100= 95%
Or ...
You can change it to a decimal and move the decimal point back 2 spaces.
.95 = 95%
- Quinn <3
What is the median of 0, 1, 2, 6, 6?
Answers
Answer:
2
Step-by-step explanation:
0, 1, 2, 6, 6
The median is the middle number
0, 1, 2, 6, 6
There are 5 numbers and 2 is the middle number so 2 is the median
Answer:
Median is 2
Step-by-step explanation:
Median: the middle
0,1,2,6,6
2 because you cancel the number from left to right
helppppp plsssss helpppp plssss
Answers
Answer:
Measure of the side, x = 5.25 units
Step-by-step explanation:
Figure B is a scale image of figure A.
That means figure B is an image and figure A is a pre-image.
Scale factor for the dilation from figure A to figure B = 1.75
Scale factor = [tex]\frac{\text{Side of image B}}{\text{Side of pre-image A}}[/tex]
1.75 = [tex]\frac{x}{3}[/tex]
x = 1.75 × 3
x = 5.25 units
Therefore, measure of the side figure B is 5.25 units.
What is the measure of DAB ?
Answers
Answer: I think it might be the angle in between D and B
Step-by-step explanation: My Explanation to this is:All triangles add to 180° so...Add all the angles in the triangle.
Find the amount missing to make an overall of 180 degrees.
85+33=118 degrees
We are currently missing angle which is 62 degrees.
How ever to find the second missing angle you will need this angle (62) specifically.
because it is on a straight line, take 62 away from 180 to get 118 degrees
the answer is 118 degrees hopefully this helped you
Answer:
Step-by-step explanation:
Exterior angle equals the sum of opposite interior angles
∠DAB = ∠ABC + ∠ACB
= 85 + 33
∠DAB = 118°
