Answers
Answer:
x = 18
By Pythagoras Theorem:
[tex] {(x + 7)}^{2} = {(7)}^{2} + {(24)}^{2} \\ \\ \implies \: (x + 7)^{2} = 49 + 576 \\ \\ \implies \: (x + 7)^{2} = 625\\ \\ \implies \: x + 7 = \pm \sqrt{625}\\ \\ \implies \: x + 7 = \pm \: 25\\ \\ \implies \: x + 7 = 25 \: \: or \: \: x + 7 = - 25 \\ \\ \implies \: x = 25 - 7 \: \: or \: \: x = - 25 - 7 \\ \\ \implies \: x = 18 \: \: or \: \: x = - 32 \\ \\ x \: can \: not \: be \: negative \\ \implies \: x \neq \: - 32 \\ \implies \: x = 18[/tex]
Related Questions
90 POINTS!! IM STUCK!!
2. Alicia is writing the program for a video game. For one part of the game she uses the rule to move points on the screen.
(a) What output does the rule give when the input is -6,0 ? Show your work.
(b) What output does the rule give when the input is 3, -4 ? Show your work.
(c) Is the rule a function? Explain why it is or why it is not
Answers
Answer:
(x-3,y+4) is the rule
a. -6, 0 input. This would equal (-6)-3 for x and (0)+4 for y. Answer: -9, 4
b. 3, -4 input. This would equal (3)-4 for x and (-4)+4 for y. Answer: -1, 0
c. The rule is a function because each input only has one output
Answer:
QuestionAlicia is writing the program for a video game. For one part of the game she uses the rule (x, y) → (x - 3,y + 4) to move points on the screen.
(a) What output does the rule give when the input is (-6, 0)?
Show your work.
(b) What output does the rule give when the input is (3, -4)?
Show your work.
(c) Is the rule a function? Explain why it is or why it is not.
Solution(a) Input (-6, 0) → Output (-6 - 3, 0 + 4) = (-9, 4)
(b) Input (3, -4) → Output (3 - 3, -4 + 4) = (0, 0)
(c) The rule is a one-to-one function as each value in the range (y-values) corresponds to exactly one value in the domain (x-values).
There are two taxi cab companies in Redwood. Their charges are listed below.
Redwood Taxi
$2.00 for the first mile
plus
$1.00 for each additional mile
Max's Taxi Service
$5.00 for the first mile
plus
$0.50 for each additional mile
According to the graph below, for how many miles will the charges from both taxi cab companies be equal?
1. 8
2. 1
3. 7
4. 4
Answers
The age in Australia has a normal distribution with a mean 45 years and standard deviation 11 years. The children are classified as the youngest 33% of population. At what age do children become adults in Australia
20
30
40
50
Answers
Answer:
40 y/o
Step-by-step explanation:
33% is a z-score of -.44
-.44 standard deviations
45 - .44(11) = ~40 y/o Seems an odd answer !
he table shows the heights of students in a group.
Student Height (in inches)
A 45
B 48
C 49
D 40
E 53
What is the mean height of the students in the group?
47 inches
49 inches
51 inches
53 inches
Answers
Answer:
47 inches
Step-by-step explanation:
45 + 48 + 49 + 40 + 53 = 235
235/5 = 47
Find the value of x.
103°
10x - 7)º
x = [?]°
Enter
Answers
Answer:
11º
Step-by-step explanation:
Because of vertical angles: 103=10x-7
103+7=10x
110=10x
x=11º
show that the derivative of an odd function is even function and viceversal
Answers
Step-by-step explanation:
Well, it's hard to generalize this. But I can show you a few examples using the power rule and some derivatives of trig functions. Lets say we have a function:
[tex]f(x) = {x}^{n} [/tex]
Then you should know it's derivative is:
[tex] \frac{df}{dx} = n {x}^{n - 1} [/tex]
For polynomial functions, a subtraction of 1 from the exponent will turn any odd function into an even, and any even function to an odd. An example of this is x^3, which is odd. The derivative is 3x^2, which is even. Another example, this time of a trig function, is sine and cosine. Sine is odd, while cosine is even. The derivative of sine is cosine, and the derivative of cosine is negative sine.
Macy has $3 in her piggy bank. If this is 10% of her monthly allowance, what is her monthly allowance
Answers
Solve the following inequality for x X - 9. 2 (9-×)
Answers
-x 9.2 (9-x)
-X x 9.2 x 9x9.2 (-x)
-Xx9.2 + x 9.2 x
-82.8x + 9.2 x2 is exponent
Amigranent
Practice with lines cut by a transversa
What is the value of x?
(2x - 5)°
Answers
Answer:
70
Step-by-step explanation:
Same side interior angles of parallel lines cut by a transversal are supplementary, so their measures have a sum of 180°.
2x - 5 + 45 = 180
2x + 40 = 180
2x = 140
x = 70
The graph of y= (x^3) +6
is translated 4 units to the right.
The translated graph has equation y=f(x).
Work out f(x).
Give your answer in the form
x^3 + ax^2 + bx + c
where a, b and c are integers.
Answers
Answer:
[tex]y=x^3-12x^2+48x-58[/tex]
Step-by-step explanation:
Transformation Rules
[tex]f(x+a)=f(x) \: \textsf{translated}\:a\:\textsf{units left}[/tex]
[tex]f(x-a)=f(x) \: \textsf{translated}\:a\:\textsf{units right}[/tex]
Given equation: [tex]y=x^3+6[/tex]
If the graph of the equation is translated 4 units to the right, then we replace [tex]x[/tex] with [tex](x-4)[/tex]:
[tex]\implies y=(x-4)^3+6[/tex]
[tex]\implies y=(x-4)(x-4)(x-4)+6[/tex]
[tex]\implies y=(x-4)(x^2-8x+16)+6[/tex]
[tex]\implies y=x^3-8x^2+16x-4x^2+32x-64+6[/tex]
[tex]\implies y=x^3-12x^2+48x-58[/tex]
Answer:
f(x) = x³ - 12x² + 48x + 58Step-by-step explanation:
Given
y = x³ + 6Translating 4 units right
x → x - 4f(x) = (x - 4)³ + 6f(x) = x³ - 3(x)²(4) + 3(x)(4)² - (4)³ + 6f(x) = x³ - 12x² + 48x - 64 + 6f(x) = x³ - 12x² + 48x + 58A right triangle is shown
5
x
9.1
Enter the value of x. Round your answer to the nearest hundredth
Answers
Answer:
10.38
Step-by-step explanation:
Pls help math will give brainlest
Answers
Answer:
Rectangular prism)1344
Rectangular pyramid)138.53
Cylinder)326.73
Cone)400.21
Triangular prism) I don't know the answer because I can't tell what sides the length is for
Find the sum of the first 150 positive even integers.
Answers
Answer:
22650
Step-by-step explanation:
Cassandra is inscribing a square in the circle shown below, but is having difficulty remembering the process.
Which of the following summaries describes the basic process for inscribing a square in the above circle?
A.
Create the perpendicular bisector of AB. Then use the points of intersection of the perpendicular bisector with the circle, along with points B and C, to draw the square.
B.
Create the perpendicular bisector of BC. Then use the points of intersection of the perpendicular bisector with the circle, along with points B and C, to draw the square.
C.
Set the compass width to the length of BC, place the point of the compass on the circle, and draw an arc. Place the compass on the intersection of the arc and the circle and repeat the process until the circle is intersected by four arcs. Connect the intersection points to form the square.
D.
Set the compass width to the length of AB, place the point of the compass on the circle, and draw an arc. Place the compass on the intersection of the arc and the circle and repeat the process until the circle is intersected by four arcs. Connect the intersection points to form the square.
Answers
Answer:
B. Create the perpendicular bisector of BC. Then use the points of intersection of the perpendicular bisector with the circle, along with points B and C, to draw the square.
Step-by-step explanation:
The Perimeter of Rhombus WXYZ is 240 cm and XY = 5k + 10
What is the value of'k?
w
х
A +
(B) 9
(С 10
[7 7
(D2
E 16
Z
Answers
Hope this helps
Have a good day!
I need help on this ASAP.
Answers
The seattle great wheel is an illustration of sectors, arcs, circumference and area of circles
The circumference of the wheelThe diameter is given as:
d = 175 feet
The circumference (C) is calculated as:
C = πd
This gives
C = 3.14 * 175
C = 549.5 feet
Hence, the circumference of the wheel is 549.5 feet
The area of the wheelThis is calculated as:
A = π(d/2)^2
This gives
A = 3.14 * (175/2)^2
A = 24040.625
Hence, the area of the wheel is 24040.625 square feet
The central angle (degrees)This is calculated as:
θ = 360/n
Where n is the number of capsules
So, we have:
θ = 360/42
This gives
θ = 8.57 degrees
Hence, the central angle of the wheel in degrees is 8.57
The central angle (radians)This is calculated as:
Radians = Degrees × π/180
So, we have:
θ = 360/42 * π/180
This gives
θ = π/21 rad
Hence, the central angle of the wheel in radians is π/21 rad
Arc length between two capsulesThis is calculated as:
L = θ * d/2
So, we have:
L = π/21 * 175/2
This gives
L = 175π/42
Hence, the arc length between two capsules is 175π/42
Area of sector between two capsulesThis is calculated as:
A = 0.5 * (d/2)^2 * θ
So, we have:
A = 0.5 * (175/2)^2 * π/21
This gives
A = 168π
Hence, the area of sector between two capsules is 168π
Read more about sector areas and arc lengths at:
https://brainly.com/question/4115882
help pls i'm not good at math
Answers
Answer: x = 56
Step-by-step explanation:
The two angles 'z' and 124 add up to form a straight line. The angle of a straight line is 180 degrees. Therefore, we can say that:
[tex]z+124=180[/tex]
Subtract 124 on both sides to isolate the angle 'z' to get:
[tex]z=56[/tex]
Answer:
z=56 degrees
Step-by-step explanation:
in total the line will equal 180 so just do 180-124 and you get 56.
Sketch a generic rectangle to represent the product 3(x+2). Then write an equivalent expression
Answers
Answer:
3x +6
Step-by-step explanation:
The rectangle representing the product 3(x+2) will have dimensions 3 and (x+2). It can be divided into portions with areas 3·2 = 6, and 3·x = 3x.
An equivalent expression is ...
3x +6
The table shows some ordered pairs that belong to project function H what is the range of H
PLEASE HELP ASAP WILL MARK BRAINIST ONLY IF YOUR RIGHT THOO
Answers
Note down
If a pair be (x,y)
Then
x is domainy is rangeHere the pairs are
(-6,43)(-5,22)(-4,7)(-3,-2)(-2,-5)(-1,-2)Range:-
{-2,-5,-2,7,22,43}
What is the slope of
the line?
Answers
There’s a point at (2,5). X =2 and y= 5
So 5/2 = 2.5
Enter the measure of ∠TOM, in degrees. (Enter just the number)
Answers
Answer: 150
Step-by-step explanation:
We know (5x-15)+(2x)=90 degree
so we can solve x = 15
plug in 5(15) - 15 = 60
60 + 90 = 150
Answer:
150
Step-by-step explanation:
m∠TOG = m∠TOP + m∠POM + m∠MOG
m∠TOG = 180°
m∠TOP = 90°
m∠POM = (5x - 15)°
m∠MOG = (2x)°
90 + ( 5x - 15 ) + 2x = 180 ⇒ 5x - 15 + 2x = 90 ⇒ x = 15
m∠TOM = 90° + m∠POM
m∠TOM = 90° + (5×15 - 15)° = 150 °
The graph shows the location of point P and point R. Point R is on the y-axis and has the same y-coordinate as point P. P (n, 3). Point Q is graphed at (n, 2). The distance from point P to point Q is equal to the distance from point P to point R. What is the distance from point P to point Q? What is the value of n? Explain how you determined the distance from point P to point Q, and the value of n. Enter your answers and your explanations in the space provided.
Answers
Answer:
1
Step-by-step explanation:
have you smiled today? its very important:)
The value of x is - 1/4 . Order these expressions from least to greatest:
x
1 − x
x − 1
- 1 ÷ x
Your answer:
Answers
1 - x
X - 1
What is the value of H in the original equation?
Answers
Answer:
49
Step-by-step explanation:
We need the square root of H to equal 7, so we can just square 7 to get the answer. So 7x7 = 49.
PLEASE HELP I WILL MARK BRAINLYIST IF CORRECT The following graph shows a proportional relationship.
What is the constant of proportionality between y and x in the graph?
Answers
Meera and Ben saved some money. 3/5 of Meera’s money are twice the money of Ben’s. Whats the new rapport between them?
Answers
Answer:
David used 1/2 of apple juice for every 1/4 cup of cranberry juice to make a fruit drink
Which choice is equivalent to the expression below?
√-81
A. √9i
B. i√9
C. 9i
D. -9
E. -√9
Answers
Answer:
Step-by-step explanation:
Remark
√-81 breaks down to two roots
√81 = 9√-1 = iSolution
√-81 = i9
Answer
C
Which congruence theorem can be used to prove WXZ ≈ YZX?
O AAS
O ASA
O SAS
O HL
Answers
Answer:
AAS
Step-by-step explanation:
angle w=angle y
angle z=angle x
wz=xy
What is greater -3 pi or -9
Answers
if pi is a separate answer, then it is pi
hope this helps :)
A county fair charges $5 for tickets and $2 for each ride. What is the y-intercept in this scenario, where y represents the total cost and x represents the number of rides ridden?
7
3
5
2
Answers
Answer:
y=2x+5
y-intercept⇒x=0
y=2(0)+5 = 5
the answer is 5
hope this helps :)