Question 8
An even function g has the point (-9,-2) on its graph.
What are the coordinates of another point on the graph of g?
Answer: (9, -2)
Step-by-step explanation:
Let's start with what makes a function even. A function is even if the graph of it is symmetric about the y-axis. What is really means is that if you were to fold your graph paper where the crease is on the y-axis, the graph should be the same on each side.
Now since g is an even function, it's correct for us to assume that it is symmetric about the y-axis. What this means is that we expect to find a value at the same point, except on the right side (because our coordinate is negative).
Our coordinate is (-9, -2). If we were to plot it, we'd see it would be in the 3rd quadrant, or the bottom left one. To be symmetrical on the right side, we know there is a point with the same coords in the 4th quadrant. To be on the right, our x coordinate would be positive, and our y coordinate will stay the same.
Example 2: Identify the reference angle.
A)
135°
B)
260°
C)
310
Answer:
A) 45
B) 80
C) 50
Step-by-step explanation:
When the terminal side is in the first quadrant (angles from 0° to 90°), our reference angle is the same as our given angle. This makes sense, since all the angles in the first quadrant are less than 90°.
When the terminal side is in the second quadrant (angles from 90° to 180°), our reference angle is 180° minus our given angle.
When the terminal side is in the third quadrant (angles from 180° to 270°), our reference angle is our given angle minus 180°.
When the terminal side is in the fourth quadrant (angles from 270° to 360°), our reference angle is 360° minus our given angle.
What is the image of the point (-6,2) after a rotation of 180° counterclockwise
about the origin?
Answer:
(-2, 6)
Step-by-step explanation:
Trust me, I know
A baker makes apple tarts and apple pies each day. Each tart, t, requires 1 apple, and peach pie, p, requires 8 apples. The baker receives a shipment of 184 apples every day. If the baker makes no more than 40 tarts per day, which system of inequalities can be used to find the possible number of pies and tarts the baker can make?
t ≤ 40
p ≤ 184
t ≤ 40
8p ≤ 184
t ≤ 40
p + 8t ≤ 184
t ≤ 40
8p + t ≤ 184
the answer is D is the answer
Answer:
i think 8p+tLess equal to 184
The inequality system may be used to determine the maximum number of pies and tarts the baker is capable of producing is t ≤ 40 and 8p + t ≤ 184.
What is inequality?It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than known as inequality.
We need to define variables initially in this situation. Thus, we have the number of tarts and the number of pies, which are p and t respectively.
Apples are needed for each tart, abbreviated t, and for each pie, abbreviated p.
It is given that every day, a supply of 184 apples is sent to the baker
8p + t ≤ 184
The baker only produces up to 40 tarts every day as a result
t ≤ 40
Thus, the inequality system may be used to determine the maximum number of pies and tarts the baker is capable of producing is t ≤ 40 and 8p + t ≤ 184.
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The sum of the measures of the angles of a triangle is 180. The sum of the measures of the second and third angles is five times the measure of the first angle. The third angle is 22 more than the second. Let x, y, and z represent the measures of the first second, and third angles, respectively. Find the measures of the three angles.
Answer:
x=30°, y=64°, z=86°
Step-by-step explanation:
Make a system of equations using the information given.
x + y + z = 180 <-- from "the sum of interior angles equals 180 degrees"
y + z = 5x <-- from "sum second angle and third angles is five times the first angle"
z = y + 22 <-- from "the third angle is 22 more than the second"
Eliminating the x variable to makes the equations easier to solve.
5x + 5y + 5z = 900
-(5x = z + y)
= 5y + 5z = 900 - z - y
= 6y + 6z = 900
= y + z = 150
Now substitute z for (y+22)
y + (y + 22) = 150
2y + 22 = 150
2y = 128
y = 64
Now find z when y=64
z = (64) + 22
z = 86
Finally, plug in z and y into one of the equations with x and evaluate for x.
x + 64 + 86 = 180
x + 150 = 180
x = 30
Pls help
Solve the equation —3x —12 = —39 for x, and show all steps.
Answer:
x=9
Step-by-step explanation:
-3x-12=-39 Add the like terms (if you add 12 to negative 12 it cancels out)
+12 +12
-3x=-27 Now divide
/-3 /-3
x=9
a = 9 and b = 2
Work out the value of
Step-by-step explanation:
I am not sure. sorry if it is wrong
Easton is driving to a concert and needs to pay for parking. There is an
automatic fee of $8 just to enter the parking lot, and when he leaves the lot,
he will have to pay an additional $3 for every hour he had his car in the lot.
How much total money would Easton have to pay for parking if he left his car
in the lot for 2 hours? How much would Easton have to pay if he left his car in
the lot for t hours?
Answer:
If he left the car in the lot for 2 hours, he would have to pay 14 dollars. if he left it for "t" hours, he would have to pay 11 + 3t dollars
Step-by-step explanation:
Think of it like this: "a" represents the total amount of money Easton will spend, t represents time in hours. $11 + $3*t = a
What is the ordered pair of X' after point X (3, 4) is rotated 180°?
X (3,-4)
X(-3,-4)
X (-4,3)
X(-4,-3)
Answer:
X′ (−3, −4)
Step-by-step explanation:
Just took the test :)
if 6 student share 1/2 pounds of modeling clay equally ,how much claydose each student get
Answer:
C. 1/12 poundStep-by-step explanation:
Divide 1/2 by 6 to find each student's share:
1/2:6 = 1/12 of a poundCorrect choice is C
The length of time, in hours, it takes a train to travel to city B varies inversely with the train’s speed. The train Carole is traveling on is moving at a speed of 70 miles per hour, and it takes her 4 hours to arrive. If the train Steve is traveling on is moving at a speed of 50 mph, how long will it take him to arrive at City B?
Answer:
Step-by-step explanation:
4 h × (70 mi)/h = 280 mi
280 mi × (1 h)/(50 mi) = 5.6 h
The time taken by him to arrive at City B will be 5.6 hours.
What are ratio and proportion?A ratio is a group of sequentially ordered numbers a and b expressed as a/b, where b is never equal to zero. When two objects are equal, a statement is said to be proportional.
The time span, in hours, it takes a train to go to city B fluctuates contrarily with the train's speed.
V x T = Constant
The train Carole is going on is moving at a speed of 70 miles each hour, and it requires her 4 hours to show up. In the event that the train, Steve is going on, is moving at a speed of 50 mph.
Let 't' be the time. Then the equation is given as,
t x 50 = 4 x 70
50t = 280
t = 280 / 50
t = 28 / 5
t = 5.6 hours
The time taken by him to arrive at City B will be 5.6 hours.
More about the ratio and the proportion link is given below.
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oigan ayuda mmm...
cuánto es 100x800 gracias
xd️️
Answer:
La respuesta podría ser 80000 y en cualquier momento.
Solve for x
(19x-18)
(7x+1)
(10x-9)
Answer:
Step-by-step explanation:
Exterior angle property: Exterior angles equals the sum of remote angles
19x - 18 = 7x + 1 + 10x - 9
19x - 18 = 7x + 10x + 1 - 9 {Combine like terms}
19x - 18 = 17x - 8 {Subtract 17x from both sides}
19x - 17x - 18 = -8
2x - 18 = -8 {Add 18 to both sides}
2x = -8 + 18
2x = 10
x = 10/2
x = 5
How to work with this? If multiple it 12*4=48 which is not correctly.
Answer:
Step-by-step explanation:
You must have not input your units of cm^2
What is 7 written as a percent? A. 7.2% B. 27% C. 72% D. 720%
Which one of the following statements is FALSE?
A
sin 70' = cos 20
B sin 15° = cos 65
С
COS 43 = sin 47
D
sin 12 = cos 78
Answer:
D because you have to cos
Answer:
B and D
Step-by-step explanation:
sin(15)=0.25
cos(65)=0.42
For what value of x is JKLM a parallelogram? Marking people as brainlist
9514 1404 393
Answer:
C 21
Step-by-step explanation:
You can approach this any of several ways. The following conditions must be true:
adjacent angles total 180°
opposite angles are congruent
Using the latter relation on the upper right and lower left angles, we have ...
4x -1 = 3x +20
x = 21 . . . . . . . . . . add 1-3x to both sides
44 is 11% of what number?
Answer:
400
Step-by-step explanation:
look it up. it says 400.
The required number is 400 for which 44 is 11%.
The percentage is a way to express a proportion or a fraction as a fraction of 100. It is commonly used to compare values or quantities relative to a whole or a total.
To calculate a percentage, you typically divide a part or a quantity by the whole or the total and then multiply the result by 100. The resulting value represents the percentage equivalent of the part or quantity.
It implies that a percentage value represents a certain number out of 100 parts.
Given that 44 is 11% of the number. The unknown number is calculated as,
x (11%) = 44
[tex]x \times \dfrac{11}{100} = 44\\x = \dfrac{44\times100}{11}\\x=400[/tex]
Therefore, the number is 400.
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Whats the answer? Please help
Answer:
Answer: y=3/2x+1
To find a line that is perpendicular, invert the slope and multiply by -1
so the original slope is -2/3,
invert it to get -3/2 then multiply by -1 to get 3/2
Put the given point (-2,-2) and the new slope into point intercept form: y+2=3/2(x+2)
Rewrite in standard form to get y=3/2x+1
(x2−4x+9)−(3x2−6x−7)
Answer:
wrong question..
please set your question
Hi! 8th grade math problem for you. Please see the screenshot
Answer:
r=4/2=2cm
total volume=volume of cylinder + cone=πr²h+1/3πr²h'=πr²(h+1/3 h')=2²π((10-3)+1/3× 3)=4π(7+1)=8×4π=32πcm³
Some equilateral triangles are not isosceles.
O A. True
O B. False
ANSWER
THE ANSWER IS FALSE
Step-by-step explanation:
false
A large pizza costs $17.99. A second large pizza is 14 off. Using an estimate, approximately how much will it cost for 2 large pizzas?
Answer:
$22
Step-by-step explanation:
17.99 round up so 18
a second large pizza is 14 dollars off of the original price of 18 so 4
18+4 is 22
so 2 large pizzas would cost $22
PLEASE HELP!!!
I need help with this math homework
9514 1404 393
Answer:
x = 14√2y = 14z = 14√3Step-by-step explanation:
These are two "special triangles." The ratios of side lengths are numbers not difficult to remember. They can save a lot of work in problems like this.
Ratio of side lengths in 45°-45°-90° isosceles right triangle: 1 : 1 : √2.
Ratio of side lengths in 30°-60°-90° right triangle: 1 : √3 : 2.
__
The side marked x has the same length as the side marked 14√2.
x = 14√2
The unmarked hypotenuse of both triangles is √2 times the marked side length, so is (14√2)(√2) = 28.
The side marked y is half the length of the hypotenuse of that triangles so is ...
y = 28/2
y = 14
And the side marked z is √3 times the short side of the 30°-60°-90° triangle, so is ...
z = 14√3
_____
Alternate solution
The mnemonic SOH CAH TOA can help you remember trig relationships. Here, 14√2 is opposite the given 45° angle, and x is adjacent. The trig relation is ...
Tan = Opposite/Adjacent
tan(45°) = 14√2/x
x = 14√2/tan(45°) = 14√2
__
To find y or z, we need to know the length of the hypotenuse in the 45° triangle. The given side is opposite the angle, so we can use the sine relation:
Sin = Opposite/Hypotenuse
hypotenuse = 14√2/sin(45°) = 28
Now, we can find y and z:
sin(30°) = y/hypotenuse
y = (28)sin(30°) = 14
cos(30°) = z/hypotenuse
z = (28)cos(30°) = 14√3
Jorge walked 21/3 miles. Samuel walked 1/4 of the distant that Jorge walked how far did Samuel walk
[tex]\frac{11}{4} =\frac{13}{4} k+\frac{1}{2} k[/tex]
Answer:
k = ¹¹⁄₁₅ Or 0.73333333333Explanation:
Find The Least Common Multiple Of 4 And 2: 4
Multiply By LCM (4)¹³⁄₄k · 4 + ½k = ¹¹⁄₄ · 4
Simplify
15k = 11
Divide Both Sides By 15
15k / 15 = 11 / 15
k = ¹¹⁄₁₅ Or 0.73333333333what percent of 40 is 120?
Answer:
300 %
Step-by-step explanation:
120 is 3 times 40, so in other words that’s 300 % of 40.
Generally, divide the part of interest (120) by total (40). In most common use case the total is larger than the part of interest unlike here.
Solve the equation.
-6p=48
Answer:
p=-8
Step-by-step explanation:
A negative multiplied by a negative is a positive.
PLEASE ANSWER THIS QUESTION CORRECTLY AND ILL MARK BRAINLY
You forgot the image attached to the question. I will edit my answer after you edit the question
is 0.12 greater than 0.9?