Answer:
mn = 4
Step-by-step explanation:
(m+n)^2 = m^2 + 2mn + n^2
(m-n)^2 = m^2 - 2mn + n^2 multply the second equation by (-1) then subtract it from first equation
m^2 + 2mn + n^2 - m^2 + 2mn - n^2 = 16
4mn = 16 divide both sides by 4
mn = 4
Here is a table of values for y=f(x). Mark the statements that are true.
A. The domain for f(x) is the set {5,6,7,8,9,10,11,12,13}.
B. The range for f(x) is all real numbers.
C. f(5)=6
D. f(15)=8
Answer:
C
Step-by-step explanation:
Bc
Answer:
C and D
Step-by-step explanation:
No links pls. I also need an explanation.
In ΔDEF, the measure of ∠F=90°, DE = 90 feet, and FD = 23 feet. Find the measure of ∠E to the nearest degree.
Answer:
angle E is 15 dgeree
Step-by-step explanation:
hypotenuse is the side opposite to 90 degree. So, here hypotenuse is DE.
take angle E as reference angle .Then,
opposite=DF = 23 feet
hypotenuse=DE = 90 feet
using sin rule
sin E =opposite/hypotenuse
sin E=23/90
sin E=0.255
E = [tex]sin^{-1} (0.255)[/tex]
E=14.77
E=15 degree
Next, verify that point C divides the line in the ratio required by using the distance formula to calculate AC and CB. Show your work.
Answer:
The ratio of AC : CB is 2 : 3
Step-by-step explanation:
Calculate AC and CB using coordinates A (1, 1), B(5, 3), and C(2.6, 1.8) and the distance formula:
Using distance formula, it is found that the ratio of AC : CB is 2 : 3
What is the distance between two points ( p,q) and (x,y)?The shortest distance (length of the straight line segment's length connecting both given points) between points ( p,q) and (x,y) is:
D = √[(x-p)² + (y-q)²] units.
Calculate AC and CB using coordinates A (1, 1), B(5, 3), and C(2.6, 1.8) and the distance formula:
AC = √[(2.6 -1)² + (1.8 - 1)²]
AC = √[(1.6 )² + (0.8)²]
AC = 2√(0.8)
Similarly, CB = √[(2.6 -5)² + (1.8 - 3)²]
CB = 3√(0.8)
Therefore, the ratio of AC : CB is 2 : 3
Learn more about distance between two points here:
brainly.com/question/16410393
#SPJ2
PLS HELPSSSPSPSPSSPSP What is the congruence correspondence, if any, that will prove the given triangles congruent?
A)ASA
B)AAS
C)HL
D)SAS
Answer:
D
since we know two sides and one angle
hope it helps!
Step-by-step explanation:
Anyone know the answer??? Not sure how to solve with only 1/3 for pythag (I am used to having 2/3 for pythag
Answer:
≈16.22
Step-by-step explanation:
AC-AD=DC
35^2-10^2=1125
√1125=15√5=AC
To find AD, you will need to use the 30, 60, 90 triangle rule.
Because of this rule, AD will be 10√3
15√5-10√3≈16.22
2y+1 = y+5
Find the value y
Step-by-step explanation:
the value of Y is 4 please mark the brainliest
(repost cuz the last didn’t load) please help ‼️
If p= 2q^3-1, what is the value of q when p is 13
a) ∛6
b) ∛7
c) ∛14/2
d) 4393
PLS HELP QUICKLY OMG TYSM
Answer:
b) ∛7
Step-by-step explanation:
If p= 2q^3 - 1, what is the value of q when p is 13
Hence:
13 = 2q³ - 1
We add 1 to both sides
13 + 1 = 2q³ - 1 + 1
14 = 2q³
We divide both sides by 2
14/2 = 2q³/2
7 = q³
q³ = 7
We take the cube root of both sides
∛q³ = ∛7
q = ∛7
Option b is the correct option
The population of a city increases by 15% every year. If its population today is
200,000, write an equation that shows where its population will be in 2 years?
Answer:
Step-by-step explanation:
P=200000
P x .15 =x (30000)
2x=y (60000)
P + y= (200000+60000) 260000
Answer:
The equation is :
[tex]A = 200000 ( 1 + 0.15)^2[/tex]
Step-by-step explanation:
Let population in 2 years be A
Current population be P = 200,000
Rate of increase, r = 15% = 0.15
Time, t = 2years
Therefore,
[tex]A= P(1 + r)^t[/tex]
[tex]A = 200000 ( 1 + 0.15)^2[/tex]
[tex]=264500[/tex]
Population after 2 years will be 264,500
An icicle is 12 inches long and melts at a rate of 1/4 inch per hour
Answer:
It will take 48 hours for the entire icicle to melt.
Step-by-step explanation:
12 divided by 1/4 = 48
The linear equation to model the situation is f(x) = -1/4x + 12
Complete questionWrite a linear equation in slope-intercept form to model the situation. An icicle is 12 inches long and melts at a rate of 1/4 inch per hour.
How to determine the linear equation?The given parameters are:
Length = 12 inchesRate = 1/4 inch per hourThe above means that:
Y-intercept (c) = 12Slope (m) = -1/4A linear equation is represented as:
f(x) = mx + c
Where f(x) represents the function and x represents the number of hours.
So, we have:
f(x) = -1/4x + 12
Hence, the linear equation to model the scenario is f(x) = -1/4x + 12
Read more about rate at:
https://brainly.com/question/4931057
#SPJ6
Answer the screenshot, please.
(no links! PDFs are fine.)
Answer:
Mode: 91
Median: 91
Mean: 107
Which of the following is the graph of y = sin(0.5x)?
D. Edge 2021 :)
Answer:
You did not include the graphs, but I can explain how the graph is and so you can recognize it.
1) for x = 0, y = sin(0) = 0, so the origin (0,0) is part of the graph.
2) The range of the function is the interval [-1, 1]. This is, y is from -1 to 1, and the graph oscilates (is a wave) between those minimum and maximum.
3) The periodicity, P, of the function is such that 0.5P = 2π = > P = 4π
That means that the values repeat every 4π interval (which is the same that 720°)
4) The zeroes of the function are 2π * n, where n is any whole number (negative, zero or positive).
That means that the function crosses the x-axis at
..., -6π, -4π, 2π, 0, 2π, 4π , 6π, ...
5) It is an odd function (which means that f(x) = sin(0.5x) = - f(-x) = - sin(-0.5x).
Now you have plenty information to identify the graph.
I also include a graph of the function in the attached pdf file.
Step-by-step explanation:
Answer:
d
Step-by-step explanation:
Solve for B
A= 3( B + C )
Options:
- B= ( A - C )/ 4
- B= ( 3A - C )/ 4
- B= ( A - 3C )/ 3
Evaluate the expression when g=7 and h=32.
H+35 over g
Answer:
67/7
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightStep-by-step explanation:
Step 1: Define
Identify
g = 7
h = 32
(h + 35)/g
Step 2: Evaluate
Substitute in variables: (32 + 35)/7(Parenthesis) Add: 67/7Answer:
37
Step-by-step explanation:
h+35/g
Let g=7 and h =32
32+35/7
Divide first
32 +5
Then add
37
How many outcomes are in the sample space when rolling a standard number cube and spinning a spinner with 4 equal sections?
Answer:
There are 24 outcomes in the sample space.
Step-by-step explanation:
Suppose that we have some events, such that each one of these events has a given number of outcomes.
If we have an experiment where we perform all of these events, the total number of possible outcomes is equal to the product between the number of outcomes for each one of the events.
Let's apply this to our case.
Here we have two events:
Rolling a standard number cube: 6 outcomes
Spinning a spinner with 4 equal sections: there are 4 outcomes.
Then the total number of outcomes in the sample space is the product:
C = 6*4 = 24 outcomes.
There are 24 outcomes in the sample space.
Given ix) = 17 - x2, what is the average rate of change in f(x) over the interval [1, 5]?
======================================================
Explanation:
Plug in x = 1
f(x) = 17-x^2
f(1) = 17-1^2
f(1) = 17-1
f(1) = 16
Repeat for x = 5 to find that f(5) = -8
Now we'll use the formula below to find the average rate of change from x = a to x = b.
[tex]m = \frac{f(b)-f(a)}{b-a}\\\\m = \frac{f(5)-f(1)}{5-1}\\\\m = \frac{-8-16}{4}\\\\m = \frac{-24}{4}\\\\m = -6\\\\[/tex]
The average rate of change is -6
The formula is basically the slope formula, more or less. So that's why I used 'm' to represent the average rate of change.
The average rate of change on the interval [1,5] is the same as finding the slope through the lines (1, 16) and (5, -8)
HELP ME PLEASEEEEEEEE ASAPPPP !!
Answer:
C and D
Step-by-step explanation:
Mathematically, a unit circle is one in which the value of the radius is 1 unit
Generally, for a unit circle we have it that;
r^2 = x^2 + y^2
where (x,y) represents the coordinates of a point on the unit circle
But from above, r = 1
Thus:
x^2 + y^2 = 1
Looking at option C, by squaring each coordinate, we have
(6/7)^2 = 36/49 and the second as 13/49
by adding both, we have
36/49 + 13/49 = 49/49 = 1
Thus, we have this as a coordinate on the unit circle
For the last option;
(5/13)^2 = 25/169 and (12/13)^2 = 144/169
Adding both, we have;
25/169 + 144/169 = 169/169 = 1
So this is also a point on the unit circle
Find the value of a and b when x = 10
a =
5x2
2
2x2(x - 5)
b=
10x
helpp
find the greatest common factor of 15x^6 and 33x^4y^5
Answer:
3x^4
Step-by-step explanation:
Answer:
495x^10 y^5
Step-by-step explanation:
What is the product of (2p + 7)(3p2 + 4p – 3)?
(pls help i’m suffering) 3.06a Finding Standard Form by Completing the Square
Classify each as Circle, Quadratic (parabola) or other
(x - 5)2 + (v - 2) = 16
= 100
22 - x = 25
(x - 2) - (y + 5)= 10
y = 2x + 5
Step-by-step explanation:
A circle equation is represented by
[tex]x {}^{2} + {y}^{2} = r {}^{2} [/tex]
A circle have both terms to the 2nd. degree
The 1st equation, 2nd equation, 4th equation are circles.
A quadratic is represented by
[tex] {x}^{2} + bx + c[/tex]
A quadratic equation only has one term that is second degree.( meaning if x and y are both to the 2nd degree, it will not be a quadratic, it will be a circle.
The 3rd equation is a quadratic.
The fifth equation has a leading coefficient at the degree of 1 so it is other(linear)
This language derives from the area of a square being its side length multiplied by itself. The word "quadratic" comes from quadratum, the Latin word for square.
What is a quadratic function?f(x) = ax2 + bx + c, where a, b, and c are numbers and an is not equal to zero, is a quadratic function. A parabola is the shape of a quadratic function's graph. Although the "width" or "steepness" of a parabola can vary as well as its direction of opening, they all share the same fundamental "U" form.
From the given table we can get the dy/dx which is the slope (m) ,
Therefore,
dy/dx = (7 - 10 ) / ( 4 - 3 )
dy/dx = -3
Now,
( y - y1 ) = m ( x - x1 )
Putting the value from the table,
( y - 10 ) = -3 ( x -5 )
=> y - 10 = -3x + 15
=> 3x + y = 25
To learn more about quadratic function refer
https://brainly.com/question/28870194
#SPJ2
Select the correct answer from each drop-down menu. Mallory goes to the farmers market every weekend. She buys six apples for $0.75 each and a bagful of oranges that are priced at $1.25 per orange. The total charge is $14.50. Write the equation representing this situation where n represents the number of oranges.
Answer:
a) The equation for the situation = 14.50 = 4.5 + 1.25n
b) The number of oranges she bought = 8 oranges
Step-by-step explanation:
Where n represents the number of oranges.
The equation is written as
Total charge = $0.75 × 6 + $1.25 × n
$14.50 = $0.75 × 6 + $1.25 × n
14.50 = 4.5 + 1.25n
1.25n = 14.5 - 4.5
1.25n = 10
n = 10 / 1.25
n = 8 oranges
Michael needs to decide which paint to buy.He found two advertisements, paint A in a 5l drum for R109,95 and paint B in a 20l drum for R599,00.
Which paint will be cheaper per liter?show all calculations.
Answer:
paint a is cheaper
Step-by-step explanation:
cost price of 1 liter of paint A = 109,95 / 5L
=21.99
cost price of 1 liter of paint B = 599 / 20L
= 29.95
paint A < paint B
Is 3:5 and 5:7 equivalent
Ratios
Answer:
no its not equal
. In a class of students the ratio of the number of students who like to play football and the number of students who like to play volleyball is 5:3. If the number of students who like volleyball only is 15 and the number of students who like football only is 35, then a. Find the number of students who like both games
Answer:
https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-ratios-prop-topic/intro-to-ratios/v/ratios-intro
how do you multiply 4.56 x 1,000
Answer:
bye adding it 1000 times = 4560
Step-by-step explanation:
What is the product?
(4y − 3)(2y2 + 3y − 5)
Express as decimal: Five hundred thirty four point two thousandths
Answer:
534.002
Step-by-step explanation:
in the d decimal thing it goes point tenths, hundredths, then thousandths if that makes since
Answer:
534.002
Step-by-step explanation:
I think
It takes 4 people 2 days to build a patio. How long will it take 2 people, working at the same rate, to buid the patio?
Answer:
4 days
Step-by-step explanation:
The patio takes 4 people 2 days, so that is 4×2. To get this for 2 people, it's 2×4. This means it takes 4 days.
Think about it, for half the people, it should take double the time.
