The coordinate of a point whose distance from both P and Q is exactly 13 is; (15, 24)
The distance between points, P and Q can be evaluated by the Pythagoras theorem as follows;
Distance, PQ = √(20-10)² + (36-12)²PQ = √(100+576)PQ = √676PQ = 26.Therefore, a point whose distance from both P and Q is exactly 13 is the midpoint of PQ.
Therefore,
x = (20 + 10)/2x = 15y = (36 + 12)/2y = 24.The coordinate of a point whose distance from both P and Q is exactly 13 is; (15, 24)
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8.
Classify the function as linear or quadratic and identify the quadratic, linear, and constant terms.
y = (3x + 4)(−2x − 3)
A. linear function; linear term: −17x; constant term: −12
B. quadratic function; quadratic term: 12x^2; linear term: 18x; constant term: −12
C. quadratic function; quadratic term: −6x^2; linear term: −17x; constant term: −12
D. linear function; linear term: −6x^2; constant term: −12
Answer:
C. quadratic function; quadratic term: −6x^2; linear term: −17x; constant term: −12
Step-by-step explanation:
Answer:
quadratic function; quadratic term: −6x² ; linear term: −17x; constant term: −12
Step-by-step explanation:
The given function is
We need to expand the RHS to get:
We can see that the degree of this polynomial function is 2 and hence it is a quadratic function.
The quadratic term is -6x²
The linear term is -17x
The constant term is -12
6) Bill is three times older than Kevin. He is also 28 years older than Kevin. How old are they?
Answer:
If bill is 28 years older than him, but also 3 times older than him, then you divide 28 by 3, which gives you 9.3. So that means kevin is around 9 1/4 years old and bill is around 37 and 1/4 years old, but you dont ahve to count the fraction if you dont want to, all that matters is the whole number.
Step-by-step explanation:
Bill is 42, while Kevin is 14 years old
Represent Bill's age with B, and Kevin's age with K.
So, we have the following equations
B = 3K and B = 28 + K
Substitute 3K for B in the second equation
[tex]3K = 28 + K[/tex]
Collect like terms
[tex]-K + 3K = 28[/tex]
[tex]2K = 28[/tex]
Divide both sides by 2
[tex]K = 14[/tex]
Substitute 14 for K in the first equation
[tex]B =3 \times 14[/tex]
[tex]B =42[/tex]
Hence, Bill is 42, while Kevin is 14 years old
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Ms. Yoon's class went on a camping trip. Ms. Yoon needs to buy 26.6
kilograms of food and she pays $2.35 for each kilogram. Mr. Ortiz, the
math teacher, says Ms. Yoon should round the number of kilograms of
food she needs to the nearest kilogram before buying it to make sure she
had enough. How much extra money would Ms. Yoon spend if she
calculates the cost Mr. Ortiz's way?
Answer:
rounding off
26.6= 27
27 x $2.35
=$63.45
Step-by-step explanation:
she would spend $ 63.45 for food
4. A publisher wants to figure out how thick their new book will be. The book has a front
cover and a back cover, each of which have a thickness of of an inch. They have a
a
choice of which type of paper to print the book on.
a. Bond paper has a thickness of inch per one hundred pages. Write an equation for
the width of the book, y, if it has x hundred pages, printed on bond paper.
b. Ledger paper has a thickness of į inch per one hundred pages. Write an equation
for the width of the book, y, if it has x hundred pages, printed on ledger paper.
C. If they instead chose front and back covers of thickness of an inch, how would
this change the equations in the previous two parts?
Answer:
1in x 2 + 1 in =3in
2 times 1 is 2 + 1 equals 3
At Mitchell's Arcade, 5/6 of the games are racing games. Among the racing games, 3/5 are motorcycle-racing games. What fraction of the games at Mitchell's Arcade are motorcycle-racing games?
Answer:
3 out of 5
Step-by-step explanation:
it says it in the question so say the max games is 6 one part 1 less as max witch is the motorcycle-racing games if it only has 3 then its really just 3 out of 5 so really that should be it. im not 100% sure so if im wrong please tell meme
Terry buys an orange for 18p. He pays with a £1 coin. How much change does he get?
Answer:
57p
Step-by-step explanation:
so 1 pound is just 1.00 so
1.00-0.43=0.57
so terry will get 57p change
Find the value of x so that the ratios are equivalent.
x to 0.25 and 6 to 1.5
What does x =
The value of x from the proportion relation is x = 1
What is Proportion?The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.
The proportional equation is given as y ∝ x
And , y = kx where k is the proportionality constant
It demonstrates the equality of the relationship between the expressions printed on the left and right sides
Given data ,
Let the proportion equation be represented as A
Now , the equation will be
Substituting the values in the equation , we get
x / 0.25 = 6 / 1.5
On simplifying the equation , we get
Multiply by 0.25 on both sides of the equation , we get
x = ( 6 x 0.25 ) / 1.5
On further simplification , we get
x = 6/6
x = 1
Therefore , the value of x = 1
Hence , the equation is x = 1
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Given m∥n, find the value of x and y.(9x+19), (5x-7), (y-1)
Answer: Your x value would be 12 and your y value would be 128
X = 12
Y = 128
Given that
2
x
−
9
y
=
11
Find
y
when
x
=
7
Answer:
y = 1/3
Step-by-step explanation:
[tex]2x-9y=11\\\\2(7)-9y=11\\\\14-9y=11\\\\-9y=-3\\\\y=\frac{1}{3}[/tex]
2 1/5
Step-by-step explanation:
Any where u see x u write 7;2(7)-9y=11
14-9y=11
Divide both sides by the difference of 14 and 9y
11/5y ; y=2 1/5
Determine if the table represents a linear function, quadratic function, or exponential function.
That would be linear because its going at a constant rate of change
Can someone help me
For the first question = no because no sides matchup
Find the slope of the line for y = x - 6
Answer:
Slope is equal to 1.
General Formulas and Concepts:
Algebra I
Slope-Intercept Form: y = mx + b
m - slopeb - y-interceptStep-by-step explanation:
Step 1: Define
Identify.
y = x - 6
Step 2: Find
Break equation, compare to slope-intercept general form.
Slope m = 1
y-intercept b = -6
1.) What three ratios are equivalent to 3/9? *
O 1/3, 2/3, 3/3
1/3, 12/36, 15/45
6/9, 12/15, 18/21
05/12, 9/12, 3/12
Answer:
B
Step-by-step explanation:
3/9 is the same as 1/3.
It can't be D since 5/12 isn't 1/3.
It can't be A since 2/3 and 3/3 don't equal 1/3.
It can't be C since everything listed is equal to 2/3.
what are all solutions that are viable for the inequality.
-2.5+x\le-12−2.5+x≤−12
Answer:
14.5
Step-by-step explanation:
-2.5+x-12-2.5+x≤-12 = 0
2x = 29
x = 29/2
= 14.5
Find the sum of the first 32 terms of the AP : 0.5, 0.75, 1
Answer:
[tex]S_{32}[/tex] = 140
Step-by-step explanation:
The sum of n terms of an AP is
[tex]S_{n}[/tex] = [tex]\frac{n}{2}[/tex] [ 2a₁ + (n - 1)d ]
where a₁ is the first term and d the common difference
Here a₁ = 0.5 and d = a₂ - a₁ = 0.75 - 0.5 = 0.25 , then
[tex]S_{32}[/tex] = [tex]\frac{32}{2}[/tex] [ (2 × 0.5) + (31 × 0.25) ]
= 16(1 + 7.75)
= 16 × 8.75
= 140
Whoever answers first gets brainliest, 5 stars, and a thanks. Pls help asap
Answer: 14.5185185185
11 1/3 + 10 5/9 - 7 10/27 = 392/27 = 14 14/27 ≅ 14.5185185
Please help me with this, im kinda struggling
Answer:
X=4
Step-by-step explanation:
Let's make an equation,
7/4 ÷ 14 = x ÷ 3
We can cross multiply
7/4 * 32 = x * 14
Now we have 56 = 14x
Divide both sides by 14
56 ÷ 14 = 4, 14x ÷ 14 = x
4 = x
x = 4
8.
What is the distance between the two points?
(-5,7)
(7,2)
Answer:
13
Step-by-step explanation:
Use the distance formula to solve for the distance between two points.
[tex]d=\sqrt{(x2-x1)^2 + (y2-y1)^2[/tex]
Plug in your coordinate points.
[tex]d=\sqrt{(7-(-5))^2 + (2-7)^2[/tex]
[tex]d=\sqrt{(12)^2 + (-5)^2[/tex]
[tex]d=\sqrt{144 + 25[/tex]
[tex]d=\sqrt{169[/tex]
d= 13
the reciprocal of 11/12
Answer:
12/11
Step-by-step explanation:
just turn it around
Need help
She could also make yogurt at home for $1
$
1
a quart after spending $24
$
24
on a yogurt maker.
The graph shows the cost of yogurt bought at the grocery store and made at home.
The x-axis should be labeled quartz of yogurt.
The y-axis should be labeled total cost.
The slope of each line represents the cost of yogurt ($/qt).
The y-intercept of each line represents the initial equipment cost.
What is y-intercept?In Mathematics, the y-intercept is also known as an initial value and the y-intercept of any graph such as a linear function, generally occur at the point where the value of "x" is equal to zero (x = 0).
Based on the graph above, the initial equipment cost represents the y-intercept of each line.
What is a slope?In Mathematics, a slope is also referred to as gradient or rate of change and it is typically used to describe both the ratio, direction and steepness of the function of a straight line.
Therefore, the slope of each line represents the rate of change of the total cost with respect to the quartz of yogurt ($/qt).
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Question 11 options:
The area of a rectangle is 80 cm2.
The length is x – 8, and the width is x + 8.
Find the value of x, and the dimensions of the rectangle.
A = lw
Answer:
x = 12
length = 4 cm
width = 20 cm
Step-by-step explanation:
a = lw
Plug in the givens
80 = (x - 8)(x + 8)
Multiply
80 = x^2 - 64
Add 64 to both sides
144 = x^2
Take the square root of both sides
x = ±12
(The negative root is extraneous since the dimensions can not be negative)
x = 12
length = x - 8 = 4 cm
width = x + 8 = 20 cm
What are the two pieces of information needed to write an equation, in slope-intercept
form, to model any linear relationship?
Answer:
Equations that are written in slope intercept form are the easiest to graph and easiest to write given the proper information. All you need to know is the slope (rate) and the y-intercept. Continue reading for a couple of examples! Write the equation for a line that has a slope of -2 and y-intercept of 5.
Step-by-step explanation:
Equations that are written in slope intercept form are the easiest to graph and easiest to write given the proper information. All you need to know is the slope (rate) and the y-intercept. Continue reading for a couple of examples! Write the equation for a line that has a slope of -2 and y-intercept of 5.
Answer:
The first piece of information you need is the slope number and the second piece of information you need is the y intercept
Please answer ASAP!! And not just for points..thank ya:)
Answer:
It should be 24
Step-by-step explanation:
Sorry if this is wrong
Step-by-step explanation:
Separate it into 2 figures.
the first figure would be 3 m tall and 8 m wide. The second figure would be 5 m tall and 4 m wide.
3 × 8 = 24
5 × 4 = 20
20 + 24 = 44
The area of the figure is 44 square meters.
what is ?? 6x93/5=to
Answer:
111.6
Step-by-step explanation:
6x93/5=111.6
The figures in the oval on the left are parallelograms. The figures in the oval on
the right have sides that are equal. In which section should a rhombus be
placed?
A
Parallelograms
Equilateral
B
С
square
rectangle
D
regular
pentagon
section D
section A
1) section c
section B
Answer:
The answer is C
Step-by-step explanation:
If you divied 5,500,000 divied by 8,800,000 what is the answer??
Answer:
0.625
Step-by-step explanation:
Just do, 5500000/8800000
Answer:
0.625
Step-by-step explanation:
Because I simplified the fraction
3/5 of 20.2%0fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
Answer:
what?
Step-by-step explanation:
pleaseeee, helppp, mee ill give brainiest if correct
Answer: Reflection
Step-by-step explanation: reflection: when a figure flips over a line
A ball is thrown in the air from ground level. The height of the ball in meters at time t seconds is given by the function [tex]\sf h(t)=-4.9t^2+30t.[/tex]. At what times does the ball hit the ground? ( be sure to use proper units!)
please, show your work!
Thank you!
Answer:
t = 6.15 seconds
Step-by-step explanation:
A ball is thrown upward with an initial velocity of 35 meters per second from a cliff that is 30 meters high. The height of the ball is given by the quadratic equation h=-4.9t^2+35t+30 where h is in meters and t in the time in seconds since the ball was thrown, find the time it takes the ball to hit the ground. Round you answer to the nearest tenth of a second.
-----------------
h(t) =-4.9t^2+35t+30
----
When the ball hits the ground its height is zero.
So, solve -4.9t^2+35t+30 = 0
Use the quadratic formula:
t = [-35 +- sqrt(35^2-4*-4.9*30)]/(2(-4.9))
----
t = [-35 +- sqrt(637)]/(-9.8)
---
To get a positive solution:
t = [-35-25.24]/(-9.8)
t = 6.15 seconds
========================
Answer:
The ball hits the ground when h(t) (the height) is equal to 0.
0=-4.9t^2+30t
0=t(-4.9t+30)
t=0 and t=6.1224…
So, the ball hits the ground when it is thrown (0 seconds) and after about 6.1224 seconds.
:)
What is the decimal multiplier to increase by 1.5 pls do the step by step explanation ineed help
Answer:
Just an explanation so you can understand
Step-by-step explanation:
To increase, or decrease a number N, by a percentage X% we multiply N by a percentage multiplier (often just called multiplier).
We can calculate any percentage increase, or decrease, in three steps:
Step 1: write X% in decimal form. Remember, this is done by moving the number X back two decimal places.
Example: 5%=0.05, 12%=0.12, ... .
Step 2: Calculate the percentage multiplier by adding, or subtracting, the decimal found in step 1 to, or from, 1
For percentage increases: add the decimal to 1.
For percentage decreases: subtract the decimal from 1.
Step 3: multiply the number N by the multiplier, found in Step 2.