Step-by-step explanation:
from midpoint formula p(x,y)= -2 +(-3)÷2 ,-8+(-12)÷2
=-5÷2 , -20÷2
= -2.5 , -10
Question 3
1 p
The perimeter of the triangle below is 27 cm. Find the measure of the shortest and the
longest sides.
X
2x
3x – 3
Answer:
Measure of the shortest side is 5 cm
Measure of the longest side is 12 cm
Step-by-step explanation:
Given:
Perimeter of ∆ = 27 cm
Side lengths of ∆: x, 2x, and 3x - 3
Required:
Measure of the shortest side and measure of the longest side.
SOLUTION:
Sum of all sides of the ∆ = Perimeter
[tex] x + 2x + (3x - 3) = 27 [/tex]
Solve for x
[tex] x + 2x + 3x - 3 = 27 [/tex]
Collect like terms
[tex] 6x - 3 = 27 [/tex]
Add 3 to both sides
[tex] 6x = 27 + 3 [/tex]
[tex] 6x = 30 [/tex]
Divide both sides by 6
[tex] x = \frac{30}{6} [/tex]
[tex] x = 5 [/tex]
Length of each side of the ∆:
x = 5 cm
2x = 2(5) = 10 cm
3x - 3 = 3(5) - 3 = 15 - 3 = 12 cm
Measure of the shortest side is 5 cm
Measure of the longest side is 12 cm
#6 find the slope in the graph MULTIPLE CHOICE
I'm assuming problem 6 is the graph on the right.
If so, then the slope is 1/2
Start at a point like (0,-1) which is the y intercept. Move up 1 and to the right 2 to arrive at (2,0) which is the x intercept.
The movement pattern "up 1, right 2" determines the slope directly
slope = rise/run = 1/2
rise = 1 = go up 1
run = 2 = go to the right 2
------------------------------
You could also pick two points from the blue line, then use the slope formula. If we picked (0,-1) and (2,0), then
m = (y2-y1)/(x2-x1)
m = (0-(-1))/(2-0)
m = (0+1)/(2-0)
m = 1/2
Plsss i need this today asap im giving 30 points
evaluate each expression.
1. 80 - 4 to the power of 2 divide 8
2. 92.3 - (3.2 divide 0.4) x 2 to the power of 3
3. [(2 to the power of 3 x 2.5 divide 1/2)] + 120
4. [(2 x 10 to the power of 0) divide 1/3 + 8
Step-by-step explanation:
1.
(80-4)²÷8
(76)²÷8
5776÷8
722
2.
92.3-(3.2÷0.4)*2³
92.3-8*2³
92.3-8*8
92.3-64
28.3
3.
[(2³*2.5÷1/2)]+120
(8*5)+120
40+120
160
4.
(2*10⁰)÷1/3+8
(2*1)÷1/3+8
2÷1/3+8
6+8
14
Wishing Success
help me with the function written in recursive form
Answer:
S/A/H/a=8
Step-by-step explanation:
witcch point lies on the line of the point-slpoe equation y-2=5(x-6)
Answer:
See below.
Step-by-step explanation:
Simplify
y - 2 = 5(x - 6)
y - 2 = 5x - 30
y = 5x - 28
Points which lie on the line
(6, 2)
(5, -3)
(7, 7)
Answer:
(6, 2 )
Step-by-step explanation:
the equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b ) a point on the line
y - 2 = 5(x - 6) ← is in point- slope form
with (a, b ) = (6, 2 )
then (6, 2 ) is a point on the line
I need help with percentages
Answer:
3a. 7.2
3b. 0.9
4a. 7.2
4b. 2.4
5a. 104
5b. 260
hope this helps, everything in bold is the correct answer,
have an awesome day, -TJ
Answer:
3.a. 36
b. 4.5
4.a. 7.2
b. 2.4
5.a. 104
b. 260
Step-by-step explanation:
100/20 = 5
18 x 5 = 90 (100%)
18 x 2 = 36
18/4 = 4.5
14.4/2 = 7.2
7.2/3 = 2.4
52 x 2 = 104 (100%)
(195/3) 4 = 65 x 4
65 x 4 = 260 (100%)
tan^2(x) × cos^2(x) = 1 - cos^2(x)
Answer:
true
Step-by-step explanation:
Answer: True
Step-by-step explanation:
[tex]\tan ^2\left(x\right)\cos ^2\left(x\right)=1-\cos ^2\left(x\right)[/tex]
[tex]\mathrm{Manipulating\:left\:side}[/tex]
[tex]\tan ^2\left(x\right)\cos ^2\left(x\right)[/tex]
[tex]\mathrm{Use \ the \ basic \ trigonometric \ identity \ \:tan\left(x\right)=\frac{sin\left(x\right)}{cos\left(x\right)}}[/tex]
[tex]=\cos ^2\left(x\right)\left(\frac{\sin \left(x\right)}{\cos \left(x\right)}\right)^2[/tex]
[tex]=\frac{\sin ^2\left(x\right)}{\cos ^2\left(x\right)}\cos ^2\left(x\right)[/tex]
[tex]=\frac{\sin ^2\left(x\right)\cos ^2\left(x\right)}{\cos ^2\left(x\right)}[/tex]
[tex]\mathrm{Cancel\:the\:common\:factor:}\:\cos ^2\left(x\right)[/tex]
[tex]=\sin ^2\left(x\right)[/tex]
[tex]\mathrm{Use \ the \ Pythagorean \ identity \ \cos ^2\left(x\right)-\sin ^2\left(x\right)=1 \rightarrow \sin ^2\left(x\right)=1-\cos ^2\left(x\right)}}[/tex]
[tex]=1-\cos ^2\left(x\right)[/tex]
[tex]1-\cos ^2\left(x\right) =1-\cos ^2\left(x\right)[/tex]
Left side = right side
Therefore, the identity is true
What is the answer to this?
Answer:
its c
Step-by-step explanation:
A x B = ab
A x C = ac
A x D = ad
(ab-ac-ad)
help me pls..
I don't need an explanation
Answer:
they are both 41
Step-by-step explanation:
just do 90- 49= 41
Answer:
angle JOK- 41
angle MON - 41
Step-by-step explanation:
The length of a rectangle is units greater than its width. If the width is w, which expression gives the perimeter of the rectangle in terms of its width?
A. 4w + 3
B. w – 3
C. 5w
D. 6w + 4
( NO LINKS) Please (hurry please!!!)
Answer: its 5w
Step-by-step explanation:
4x + 3y = 6 3x – 5y = 19
Answer:
my anawer na po eh 19 marong gento=eh
What vocabulary word defines the part in red?
Y + 5x - 10
variables
constant
coefficient
terms
Answer: variables
Letters can represent any number, therefore it varies, thus the name “variable”
Use the leading coefficient and degree of the polynomial function f(x) = x3 – 7x2 + 10x to determine the end behavior of its graph. Select all the correct statements. A. As x → ∞, y → ∞. B. As x → ∞, y → −∞. C. As x → −∞, y → ∞. D. As x → −∞, y → −∞. E. As x → ∞, y → 0.
Given:
The function is
[tex]f(x)=x^3-7x^2+10x[/tex]
To find:
The end behavior of its graph.
Solution:
We have,
[tex]f(x)=x^3-7x^2+10x[/tex]
Here, leading coefficient is 1 which is positive and degree of function is 3 which is odd.
For odd degree and positive leading coefficient, the end behavior is
[tex]f(x)\to \infty\text{ as }x\to \infty[/tex]
[tex]f(x)\to -\infty\text{ as }x\to -\infty[/tex]
Using this, we get
[tex]\text{As }x\to \infty, y\to \infty[/tex]
[tex]\text{As }x\to -\infty, y\to -\infty[/tex]
Therefore, the correct statements are A and D.
We want to study the end behavior of the given polynomial.
The two correct statements are A and D.
As x → ∞, y → ∞As x → −∞, y → −∞The polynomial is:
f(x) = x^3 - 7*x^2 + 10*x.
We can see that the degree of this polynomial is odd, this means that the behavior on the negative side is opposite to the one in the positive side.
In this case, the leading coefficient is one, so it is positive. This will mean that, for large positive values of x, f(x) will be positive.
For large (in absolute value) negative values of x, f(x) will be negative.
Then the end behavior is given by:
As x → ∞, y → ∞As x → −∞, y → −∞So the two correct statements are A and D.
If you want to learn more, you can read:
https://brainly.com/question/22723521
The Cohen family uses up a 1/2 -gallon jug of milk every 3 days. At what rate do they drink milk?
Answer:
1 gallon every 6 days
Step-by-step explanation:
To obtain a whole-number ratio, we multiply the 1/2 gallon by two. Since we are doing that, we should multiply the 3 days by two also.
The relationship shown in the scatterplot can be
linearized and modeled by the equation:In(Balance) = 3.2189 +0.1(Time)
Based on this information, approximately how much
does the model predict the account balance to be after
25 years of savings?
O $6,000
O $305,000
O $400,000
O $523,000
Answer: it’s $305,000
Step-by-step explanation:
correct on ED2022
Answer:
B
Step-by-step explanation:
I just got it right
a circular pool has a circumference of 28 feet what is the radius of the pool in feet
Answer:
The formula for circumference of s circle is pi x diameter.
If the circumference is 28 we can divide it by pi to get the Diameter.
28/ pi = 8.9126768131461388030574907488608042739297 rounded to 8.91 (2dp)
The radius is half of the diameter, so this means 8.91 / 2 = 4.46 ft (rounded to 2dp)
Which whole number property is represented?
10 × 4 = 4 × 10
Identity Property of Multiplication
Zero Property of Multiplication
Commutative Property of Multiplication
Associative Property of Multiplication
Answer:
Associative Property of Multiplication
Step-by-step explanation:
Even though the Associative Property usually means adding or subtracting, under these circumstances, it can be used with multiplication.
Which expression is equivalent to log3(x 4)? log3 – log(x 4) log12 logx log3 log(x 4) startfraction log 3 over log (x 4) endfraction
Option three [tex]\rm log3+log(x+4)[/tex] is the equivalent to the logarithm expression [tex]\rm log3(x+4)[/tex]
It is given that logarithm expression is [tex]\rm log3(x+4)[/tex]
It is required to simplify the above equation.
What is Logarithm?It is another way to represent the power of numbers and we say that 'b' is the logarithm of 'c' with base 'a' if and only if 'a' to the power 'b' equals 'c'.
[tex]\rm a^b=c\\\rm log_ac=b[/tex]
We have logarithm expression:
[tex]\rm log3(x+4)[/tex]
We know the log property that we can split a logarithm into two logarithms if it contains the product of two numbers ie.
[tex]\rm logxy=logx+logy[/tex]
By using this property we get:
[tex]\rm =log3(x+4)\\\rm = log3+log(x+4)[/tex]
Because 3 and (x+4) are two different numbers, not (x+4).
Thus, option three [tex]\rm log3+log(x+4)[/tex] is the equivalent to the logarithm expression [tex]\rm log3(x+4)[/tex]
Learn more about the Logarithm here:
brainly.com/question/163125
Answer:
Step-by-step explanation:
optin three is the answer i have took the test (Which expression is equivalent to log3(x + 4)?
log3 – log(x + 4)
log12 + logx
log3 + log(x + 4)
StartFraction log 3 Over log (x + 4) EndFraction)
PLS ACTUALLY HELP IT'S DUE TN
Answer:
Average rate of change = -4
Step-by-step explanation:
Given:
f(x) = x² + 7x + 10
-8 ≤ x ≤ -3 or [-8, -3] in interval notation
Average rate of change of the function can be solved using the formula:
[tex]\mathrm{Average\:rate\:of\:change} = \dfrac{ f \left( b \right) -f \left( a \right) }{ b-a }[/tex]
[tex]\mathrm{Average\:rate\:of\:change} = \dfrac{ f \left( -3 \right) -f \left( -8 \right) }{ -3 - (-8) }[/tex]
[tex]\mathrm{Average\:rate\:of\:change} = \dfrac{ f \left( -3 \right) -f \left( -8 \right) }{ -3 + 8 }[/tex]
[tex]\mathrm{Average\:rate\:of\:change} = \dfrac{ f \left( -3 \right) -f \left( -8 \right) }{ 5 }[/tex]
Substitute x = -3 to the given function for f(-3) and x = -8 for f(-8)
[tex]\mathrm{Average\:rate\:of\:change} = \dfrac{ f \left( -3 \right) -f \left( -8 \right) }{ 5 }[/tex][tex]\mathrm{Average\:rate\:of\:change} = \dfrac{ { \left[( -3 \right) }^{ 2 } +7 \left( -3 \right) +10]- { \left[( -8 \right) }^{ 2 } +7 \left( -8 \right) +10] }{ 5 }[/tex]
[tex]\mathrm{Average\:rate\:of\:change} = \dfrac{ [9-21+10]-[64-56+10] }{ 5 }[/tex]
[tex]\mathrm{Average\:rate\:of\:change} = \dfrac{ [-2]-[18] }{ 5 }[/tex]
[tex]\mathrm{Average\:rate\:of\:change} = \dfrac{ - 20 }{ 5 }[/tex]
[tex]\mathrm{Average\:rate\:of\:change} = {-4 }[/tex]
PLEASEEEE HELP ME I NEED TO SHOW MY WORK TOO HELP
x = -2
y = 3
[tex]-4x-2y=2\\ -4x+y=11[/tex]
Subtract the two equations
[tex]-4x-2y-(-4x+y)=2-11[/tex]
Remove parentheses
[tex]-4x-2y+4x-y=2-11[/tex]
Cancel one variable
[tex]-2y-y=2-11[/tex]
Combine like terms
[tex]-3y=2-11[/tex]
Calculate the sum or difference
[tex]-3y=-9[/tex]
Divide both sides of the equation by the coefficient of variable
[tex]y=\frac{-9}{-3}[/tex]
Determine the sign for multiplication or division
[tex]y=\frac{9}{3}[/tex]
Cross out the common factor
[tex]y=3[/tex]
Substitute into one of the equations
[tex]-4x+3=11[/tex]
Rearrange variables to the left side of the equation
[tex]-4x=11-3[/tex]
Calculate the sum or difference
[tex]-4x=8[/tex]
Divide both sides of the equation by the coefficient of variable
[tex]x=-\frac{8}{4}[/tex]
Cross out the common factor
[tex]x=-2[/tex]
The solution of the system is
[tex]x=-2\\ y=3[/tex]
I hope this helps you
:)
Elena has $225 in her bank account. She takes out $20 each week for w weeks. After w weeks she has d dollars left in her bank account.
Answer:
After 11 weeks she has 5 dollars left in her bank account
Step-by-step explanation
I divided 225 ÷ 5 without going to the end of the operation so the rest was 5 dollars.
what is the answer to 8÷2(2+2)?
Answer:
16
Step-by-step explanation: parenthesis first (2+2)=4
then division 8/2=4
then multiply 4x4=16
Answer:
16
Step-by-step explanation:
8÷2(2+2)
(2+2)
8÷2(4)
8÷2
4(4)
16
dilation of 1.5 about the origin
G(-2, 0), H(-1, 3), I(3, -1), J(-1, -2)
Answer:
Dilation is a transformation, that stretches or shrinks the original figure presented on the grid based on the scale factor. Included here are umpteen printable worksheets to help 8th grade and high school students hone in on finding the scale factor, identifying the dilation type, determining the new coordinates and drawing the dilated shapes with the center as origin.
Step-by-step explanation:
Seema bought a refrigerator for {14300 including a GST of 10%. The price of the refrigerator before GST was added is
Answer:
$13,000
Step-by-step explanation:
Given:
Seema bought a refrigerator for {14300 including a GST of 10%.
To FInd:
The price of the refrigerator before GST was added is
Solve:
[tex]\\[/tex]100/100+10×14300
=100/110×14300
=$13,000
Hence, The price of the refrigerator before GST was added is $13,000.
~Learn with Lenvy~
Tim sold 15 boxes of doughnuts for a school fundraiser. The boxes cost $4 each. Which pair of expressions shows two ways to determine the total cost of the doughnuts Tim sold? A) 10 × 4 and 10 × 5 B) 15 × 4 and 10 × 4 C) (15 × 4) + (5 × 4) and 4 + 4 + 4 + 4 D) (10 × 4) + (5 × 4) and 15 + 15 + 15 + 15
Answer:
(D) (10 × 4) + (5 × 4) and 15 + 15 + 15 + 15
Step-by-step explanation:
Given;
total number of boxes of doughnuts sold, T = 15 boxes
the cost of each box of doughnuts, C = $4
The total cost of the doughnuts sold = 4 x 15 = $60
The only option that contains pair of expressions that is equal to $60 is option D.
(D) (10 × 4) + (5 × 4) and 15 + 15 + 15 + 15
(10 × 4) + (5 × 4) = 40 + 20 = $60
15 + 15 + 15 + 15 = $60
Turn the algebraic expression into a verbal expression:
8p+5r
How would you say that writing it out mathematically speaking?
A rectangle is 12 cm longer than it is wide. If its length and width are both decreased by 2 cm, its area is decreased by 108 cm². Find its original dimensions.
Let the width be "x" cm.
Then the length is "x+12" cm
And the area = x(x+12) = x^2+12x cm^2
----------------------------
Change the dimensions:
width = "x-2" cm
length = "x+10" cm
New area = (x-2)(x+10) = x^2 + 8x - 20 cm^2
------------------
Equations :
Old area - New area = 108 cm^2
x^2+12x -(x^2 + 8x - 20) = 108
4x + 20 = 108
4x = 88
x = 22 cm (original width)
x+12 = 24 cm (original length)
ILL GIVE BRAINIEST TO WHOEVER IS CORRECT!! PLEASE HELP ASAP!!
This is page 1
Answer:
Step-by-step explanation:
Determine whether the graph table or equation represents a linear nonlinear function.
Y=x(x+3)
Answer:
nonlinear
Step-by-step explanation:
[tex]x(x + 3) = {x}^{2} + 3 \\ \: it \: will \: be \: a \: parabola \: because \: of \: the \: {x}^{2} [/tex]
3 x + 5 = 20 is it 15 , 25 or 5
Answer:
Today: Monday, 12 October 2020
Hour: 09.08 WIB (in Indonesian)
_________________________
3x + 5 = 20
3x = 20 - 5
3x = 15
x = 15/3
x = 5
Answer:
the answer is 5
Step-by-step explanation:
you subtract 5 from both sides and you get 3x=15 you divide and you get 5