Answer:
b= 2[tex]\sqrt{66}[/tex] or 16.248
Step-by-step explanation:
5^2 +b^2= 17^2
25 + b^2 = 289
-25 -25
b^2=264
b= 2[tex]\sqrt{66}[/tex] or 16.248
Kathy Is 12 years old and Ben is 16 years old. How many years ago was Ben three times Older than Kathy?
Setting up an equation to represent the scenario, we can conclude that Ben was 3 times older than Kathy 10 years ago.
Present age :
Kathy, k = 12 Ben, b = 16Serting up the equation thus :
Let the number of years = x
16 - x = 3(12 - x)
16 - x = 36 - 3x
Collect like terms
-x + 3x = 36 - 16
2x = 20
x = 10
Hence, Ben was 3 tines older than Kathy 10 years ago.
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Plzz Due Now!!!
Part A: Jake rented a kayak at $26 for 3 hours. If he rents the same kayak for 5 hours, he has to pay a total rent of $42. Write an equation in the standard form to represent the total rent (y) that Jake has to pay for renting the kayak for x hours.
Part B: Write the equation obtained in Part A using function notation.
Part C: Describe the steps to graph the equation obtained above on the coordinate axes. Mention the labels on the axes and the intervals.
By the way this anwser is not mine,I just want to help.The orginal anwser is here: https://brainly.com/question/8916711
We can write the information we know as ordered pairs. The independent variable, or x, in this case would be the amount of time, and the dependent variable, or y, would be the amount of money. This is because the amount of money charged changes depending on the amount of time. This gives us the ordered pairs (3, 26) and (5, 42). Using the formula for slope we have:
. A slope of 8 tells us that the hourly rental is $8. We can use this to back up and see what the rental fee is. When renting the kayak for 3 hours, Jake paid 26. We know that it costs $8 per hour; 8(3) = 24. This leaves us 26-24=$2 for the rental fee. The equation would then be
y = 8x + 2.
Writing this as a function would be f(x) = 8x + 2.
To graph this, we would label the x-axis as time (hours) and the y-axis as money (dollars). We would go up to the y-intercept, 2, and plot our point. (The y-intercept is 2 because in the form y=mx+b, b is the y-intercept; that's where our 2 is.) From here, we know the slope is 8=8/1, so we would go up 8 and over 1 to the right to plot our next point. Then we would draw our line between these two points.
Answer:
We can write the information we know as ordered pairs. The independent variable, or x, in this case would be the amount of time, and the dependent variable, or y, would be the amount of money. This is because the amount of money charged changes depending on the amount of time. This gives us the ordered pairs (3, 26) and (5, 42). Using the formula for slope we have:. A slope of 8 tells us that the hourly rental is $8. We can use this to back up and see what the rental fee is. When renting the kayak for 3 hours, Jake paid 26. We know that it costs $8 per hour; 8(3) = 24. This leaves us 26-24=$2 for the rental fee. The equation would then bey = 8x + 2.Writing this as a function would be f(x) = 8x + 2.To graph this, we would label the x-axis as time (hours) and the y-axis as money (dollars). We would go up to the y-intercept, 2, and plot our point. (The y-intercept is 2 because in the form y=mx+b, b is the y-intercept; that's where our 2 is.) From here, we know the slope is 8=8/1, so we would go up 8 and over 1 to the right to plot our next point. Then we would draw our line between these two points.
Step-by-step explanation:
Help me or give me answer key plz I’m doing Desmos Quadratic Transformations – Part 1
They want to know the change in y. They have given the lines, soo count how many they went up or down.
Whatever you get, that the answer.
The y value of each point moved ___ units ____ and ____ as I moved the slider.
How many solutions can be found for the system of linear equations represented on the graph?
A) no solution
B) one solution
C) two solutions
D) infinitely many solutions
Answer:
No Solution
Step-by-step explanation:
As the two lines have the identical slope (-1/2x), that means these two lines are parallel, and therefore they have no solution.
Lot 1 lies where two roads meet at a 79° angle. Lot 2 lies where two roads meet at a 65° angle. Lot 3 lies where two roads meet at a 36° angle. All lots have two sides measuring 20 feet as shown. A triangle is shown. At each of the points of the triangle, a line representing a fence is drawn to form a smaller triangle at each point. All other sides of the smaller triangles are 20 feet. Lot 1 lies where the angle is 79 degrees. Lot 2 lies where the angle is 65 degrees. Lot 3 lies where the angle is 36 degrees. A fence runs along the back wall of each property, as shown in the diagram. Which lot has the longest fence along the back wall? Which lot has the shortest fence along the back wall?
Answer: First is Lot 1
Second is Lot 3
Step-by-step explanation:
Answer:
First answer is Lot 1
Second Answer is Lot 3
Step-by-step explanation:
Rain is falling steadily in Seattle, Washington. After 6 hours, 4 inches of rain has fallen. How long will it take for 1 inch of rain to fall?
A store owner recorded the total number of customers that visited his store at the end of each hour that the store was open. He created the scatterplot, trend line, and equation below based on the data.
Store Customers
A graph has hours open on the x-axis, and total customers on the y-axis. A trend line has a regression equation of y = 25.36 x minus 0.23.
Assuming that the trend continues, which is the best estimate for the number of hours that the store will have been open when the total customer count is 310?
11
12
13
14
Answer:
12
Step-by-step explanation:
got 100% right on edge 2020, hope this helped! <3
Answer:
its 12
Step-by-step explanation:
bc it is
Find the rate of change for:
bicycling 3 mi in 15 min and 7 mi in 55 min
The rate of change is 10.
What is rate of change?Rate of change is used to mathematically describe the percentage change in value over a defined period of time, and it represents the momentum of a variable. The rate of change is equal to the change in y values divided by the change in the x-values.
For the given situation,
Bicycling involves 3 miles in 15 min and 7 miles in 55 min.
Here consider miles in x axis and minutes in y axis.
So, [tex](x1,y1) = (3,15)[/tex] and [tex](x2,y2)=(7,55)[/tex]
The rate of change is
⇒ [tex]\frac{y2-y1}{x2-x1}[/tex]
⇒ [tex]\frac{55-15}{7-3}[/tex]
⇒ [tex]\frac{40}{4}[/tex]
⇒ [tex]10[/tex]
Hence we can conclude that the rate of change is 10.
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Help me pls math Homework
9514 1404 393
Answer:
See below. The "table below" refers to the second attachment.
Step-by-step explanation:
[tex]\boxed {\begin {array}{c|c|c}\underline {Binary} & \underline{Hex} & \underline{Decimal} \\ 0000 & 0 & 0 \\ 0001 & 1 & 2 \\ 0010 & 2 & 2 \\ 0011 & 3 & 3 \\ 0100 & 4 & 4 \\ 0101 & 5 & 5 \\ 0110 & 6 & 6 \\ 0111 & 7 & 7 \\ 1000 & 8 & 8 \\ 1001 & 9 & 9 \\ 1010 & A & 10 \\ 1011 & B & 11 \\ 1100 & C & 13 \\ 1101 & D & 14 \\ 1110 & E & 15 \\ 1111 & F & 16\end {array}}[/tex]
Help me please itsmath
Answer:
I'ts B, (5,2)
Step-by-step explanation:
It's B :)
Answer:
A
Step-by-step explanation:
the equation is the second one
let the function be f defined by f (x) = 12 - 5x
(a) is it true that f (0) = 0 ? explain why or why not.
(b) evaluate f (-1)
(c) what value of a will make the equation f (a) = 6 true?
Answer
a)no
Step-by-step explanation:
a)12-5(0)
=12 not 0
b)12-5(-1)
=17
c)12-5x=6
-5x=6-12
x=1.2
hope it helps:)
Evaluating the function, it is found that:
a) No, since [tex]f(0) = 12[/tex], as when we replace x by 0, the value of y is 12.
b) [tex]f(-1) = 17[/tex]
c) [tex]a = \frac{6}{5}[/tex]
The function given is:
[tex]f(x) = 12 - 5x[/tex]
Item a:
f(0) is given by:
[tex]f(0) = 12 - 5(0) = 12[/tex]
So it is not true, since [tex]f(0) = 12[/tex].
Item b:
[tex]f(-1) = 12 - 5(-1) = 12 + 5 = 17[/tex]
Item c:
This is the value of x when f(x) = 6, thus:
[tex]12 - 5x = 6[/tex]
[tex]5x = 6[/tex]
[tex]x = \frac{6}{5}[/tex]
Thus:
[tex]a = \frac{6}{5}[/tex]
A similar problem is given at https://brainly.com/question/24231879
What is the decimal multiplier to increase by 58%?
What is 1+1 I really need this answer
Answer:
Its 11
Step-by-step explanation:
Jk its 2. Bro learn addition. XD
Answer:
the answer would be...
e^iπ = -1
2^57,885,161 - 1 is the largest known Mersenne prime number
2^43,112,609 - 1 is the second largest known Mersenne prime number
the greatest common divisor of any two integers which are coprime is 1 so
gcd(2^57,885,161 - 1, 2^43,112,609 - 1) =1
tan(π/4) = 1
So ((e^iπ/ gcd((2^57,885,161 - 1, 2^43,112,609 - 1))^2)
= (-1/1)^2 +1
= 1 + 1
^brainliest plz it took me awhile to type this XD^
PLEASE HELP 15 POINTS 1. An architect is drawing a sketch for a new building. He uses graphs of lines on a coordinate plane to sketch out
his ideas. The architect has plotted the graph of the line 4x + 16y = 8.
What is the equation of the line he has graphed in slope-intercept form? (Reduce all fractions)
2
Write the equation in slope-intercept form perpendicular to the original line that goes through the point
(-6, -19)
3
Write the equation in slope-intercept form parallel to the original line that goes through the point (-8,6).
Answer:
1) [tex]y=-\frac{1}{4}x+\frac{1}{2}[/tex]
2) [tex]y=4x+5[/tex]
3) [tex]y=-\frac{1}{4}x+4[/tex]
Step-by-step explanation:
Question 1:
All you have to do is solve for y to get the slope intercept form.
[tex]4x+16y=8\\16y=-4x+8\\y=-\frac{1}{4}x+\frac{1}{2}[/tex]
So the equation is [tex]y=-\frac{1}{4}x+\frac{1}{2}[/tex]
Question 2:
Now for this one you have to find the line perpendicular to the previous equation.
Finding the slope:
So first we need to find the slope and usually the slope of a perpendicular line is the opposite and the reciprocal to the original equation. So instead of [tex]-\frac{1}{4}[/tex] it will be [tex]\frac{4}{1}[/tex] or even easier to manage [tex]4[/tex].
Finding the y-intercept:
For the y-intercept we need to plug in what we know into this formula....[tex]y=mx+b[/tex]
We know the slope is [tex]4[/tex] and we could use the ordered pair that they provided us with [tex](-6,-19)[/tex]. The -6 is the x and the -19 will be the y. Now let's plug in and solve.
[tex]y=mx+b\\-19=4(-6)+b\\-19=-24+b\\b=5[/tex]
Writing the equation:
Now we know all the information needed to write the equation.
[tex]y=mx+b\\m=4\\b=5[/tex]
Now we just fill it in the formula...
[tex]y=4x+5[/tex]
Question 3:
For a parallel equation the slope will be the same in order for them to be parallel to each other.
Finding the y-intercept:
For the y-intercept we need to plug in what we know into this formula....[tex]y=mx+b[/tex]
We know the slope is [tex]-\frac{1}{4}[/tex] and we could use the ordered pair that they provided us with [tex](-8,6)[/tex]. The -8 is the x and the 6 will be the y. Now let's plug in and solve.
[tex]y=mx+b\\6=-\frac{1}{4}(-8)+b\\6=2+b\\b=4[/tex]
Writing the equation:
Now we know all the information needed to write the equation.
[tex]m=-\frac{1}{4}\\b=4[/tex]
Now we just fill it in the formula...
[tex]y=-\frac{1}{4}x+4[/tex]
Which function is graphed on the coordinate plane below?
Answer:
I'm really good at graphing and math so anytime you need help tell me.
also there is no coordinate plane....
Step-by-step explanation:
What is the equation of a line that is parralel to y= -5x+6 and passes through the point (-4,-1)
Answer:
y = -5x-21
Step-by-step explanation:
Slope of parallel lines is the same.
To find b:
y = mx + b
Substitute the slope and the point given
-1 = -5(-4) + b
Solve for b
-1 = 20 + b
b = -21
plz help me show steps plz
Answer:
Step-by-step explanation:
4x - 9y = -9 x x - 3y = (5 + 9) - 6 - 9) + 9 - 5
Write the equation, in general form, of a line with a slope of 1 and a y-intercept of -1.
a. x - y = 1
b. -x + y = -1
c. -x + y + 1 = 0
d. x - y - 1 = 0
pls help asap !!!
Answer:
Plug in numbers.
Step-by-step explanation:
using the equation of a line, y=mx+b, m is slope and b is the y-intercept. y and x are the coordinates. So graph the line first. It has a slope of one and the y-intercept is -1. Then plug in numbers for the equation. Make sure they are reasonable.
Denise is 7 years Younger than our Misty is twice as old as Alma all together we have an age of 37 how old is Denise
Answer: 14
Step-by-step explanation: divide
Which graph represents the equation 6x−5y=10 ? A image 1ab24067a1a445c6b2cc4633bfedfbb0 B image 28e91cd406af4c89bbd5cef1ec880a48 C image cfe6c7f17af74557ac6084f98e5bf5e0 D image 6fe8450f191547f885106542b28826f1
Answer:
i'm sorry
Step-by-step explanation:
what do you mean
On a coordinate plane, a line goes through (0, 1) and (5, 0). What is the equation of the line that is perpendicular to and has the same y-intercept as the given line?
Answer:
First find slope of first line given the two points
Slope is change in y over change in x
0-1 over 5-0
Slope = -1/5
Slope of the line perpendicular to this line has a slope that is the negative reciprocal.
Slope of the new line is 5
You are given the y intercept with the first point so put these things together in the slope intercept formula
Y=5x +1
Step-by-step explanation:
Well um there you go..
Answer
73
Step-by-step explanation:
I need help with solving this problem please!!!
Answer:
Angle 3 = 23 degrees Angle 8 = 157 degrees
Step-by-step explanation:
Since Angle 2 and Angle 3 are vertical angles, they have the same value.
As you see for Angle 8, Angle 8 is vertical angles with Angle 5.
Angle 5 corresponds with Angle 1 which is the same value since these lines are parallel.
Angle 1 and Angle 2 added together will have a sum of 180.
So substitute Angle 5 for Angle 1.
Angle 5 + 23 =180
Angle 5 = 157 degrees
And we know Angle 5 = Angle 8
So Angle 8 = 157 degrees.
A scale on a map shows that 1 inch: 8 miles. On the map, Kylie’s house is 2.5 inches from her grandma’s house. What is the actual distance between the two houses?
( Hint: Not D)
A. 10
B. 15
C. 20
D. 25
Answer:
C. 20
Step-by-step explanation:
If 1 inch is 8 miles, 2.5 = 20 miles because 8 x 2 = 16 and .5 = 4 so 16+4 = 20
A fossilized fish is found that has jaws but no true bones. Where does this fossil belong on the cladogram?
A
B
C
D
Answer:
D
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
Need help ASAP PLEASEEEEE
Answer:( b )i think
Step-by-step explanation:
Help im diening please
Answer:
y = x + 3
Step-by-step explanation:
To know which of the equations represent the relationship between x and y, you need to substitute the x and y values into the equation. If when the equation is solved, the left-hand and right-hand side of the equation equal each other and hence the equation is true, then the equation must be correct in expressing the relationship between the x and y values. If not, then it is not correct.
As this question is only dealing with linear equations, we know that the gradient of the line is constant and hence the rate of change in x and y values is constant. Therefore, we can choose to substitute any of the given combinations of x and y values into the equation to obtain the correct equation. As it is easier to use smaller numbers for smaller calculations, we'll use the first combination of x = 1 and y = 4 .
Equation No. 1 : y = 3x + 1 where x = 1 , y = 4 and x = 2 , y = 5
( 4 ) = 3 ( 1 ) + 1
4 = 4
However, as this equation has a constant not equal to 1 in front of the x variable and hence a different gradient to the other equations, we will substitute the second combination of x and y values.
( 5 ) = 3 ( 2 ) + 1
5 = 6
Therefore, equation is false / incorrect.
Equation No. 2 : y = x + 1 where x = 1 , y = 4
( 4 ) = ( 1 ) + 1
4 = 2
Therefore, equation is false / incorrect.
Equation No. 3 : y = x + 3 where x = 1 , y = 4
( 4 ) = ( 1 ) + 3
4 = 4
Therefore, equation is true / correct.
Equation No. 4 : y = x - 3 where x = 1 , y = 4
( 4 ) = ( 1 ) - 3
4 = - 2
Therefore, equation is false / incorrect.
2) Find the perimeter of the following
polygon.
7 in.
10 in.
12 in.
15 in.
a triangle with angle measures of 45 45 and 90 is
Answer:
A right triangle
Step-by-step explanation:
The answer is a right triangle because it has a right angle. A right angle is 90 degrees
WILL GIVE BRAINLIEST - 6TH GRADE MATHEMATICS
Angie is showing her work in simplifying −7.9 + 8.2 − 3.4 + 2.1. Identify any errors in her work or in her reasoning.
Step Work Reasoning
−7.9 + 8.2 − 3.4 + 2.1 Original problem
1 −7.9 + 8.2 + (−3.4) + 2.1 Additive inverse
2 −7.9 + (−3.4) + 8.2 + 2.1 Commutative property
3 [−7.9 + (−3.4)] + (8.2 + 2.1) Associative property
4 −11.3 + 10.3 Simplify
5 −1 Simplify
She did not make any errors.
Step 1: She wrote −3.4 incorrectly as + (−3.4).
Step 2: She identified changing the order of the numbers as the commutative property, which is incorrect.
Step 3: She identified changing the grouping of the numbers as the associative property, which is incorrect.
Answer:
Step 1 it says Additive inverse, that is not additive inverse. Additive inverse is the opposite of a number. There is no opposite number in the problem. And step 5 is the answer, it shouldn't be simplify. Hope that helps! :)
Answer:
step 1
Step-by-step explanation: