Answer:
32 square feet20 square feetStep-by-step explanation:
Given
The dimensions of the lot are (6+x) feet and (6−x) feetThe dimensions of the house to be (2+x) feet and (2−x) feetArea of the yard = Area of the lot - Area of the house
Area of the yard:
(6 + x)(6 - x) - (2 + x)(2 - x) =36 - x² - 4 + x² =32 square feetIf the house is extended, then the area of the yard will change as:
(6 + x)(6 - x) - (4 + x)(4 - x) =36 - x² - 16 + x² =20 square feetQuestion 9
10 pts
Identify whether the equation has no solution, infinite solution or one solution
2x +3 = 2x + 3
Bottles of water sell for $1.50 each.
you would graph it at 1.5
Step-by-step explanation:
In the city of Carmen, there is a drawbridge that is opened twice per hour over the summer. The graph below shows the number of feet that the top of the bridge was above the water versus the
amount of minutes that the drawbridge was open.
40
30
Feet Above Water
20
10
3
Minutes
The city's engineer noticed that the bridge is not opening and closing at the same rate and wanted to determine the rate of change over these intervals. Complete the table to determine the rate of
change for the drawbridge (in feet per minute) at each of the specified intervals.
Answer:
25, 0, -25
Step-by-step explanation:
Solve for a: g=ca-b
help
Answer:
[tex] a = \dfrac{b + g}{c} [/tex]
Step-by-step explanation:
g = ca - b
Switch sides.
ca - b = g
Add b to both sides.
ca = b + g
Divide both sides by c.
[tex] a = \dfrac{b + g}{c} [/tex]
Translate the inequality into written language.
2x + 8 > -4
Answer:
two times x plus eight is greater than negative four
if this is right I will be surprised but still, hope this was right! Have a good evening :)
Solve the equation.
x/2 = x/5 + 8
Please help me asap haha
Answer:
x=80/3
Step-by-step explanation:
3x/10=8
3x=80
x=80/3
a count went up from 450 to 600. what was approximate percentage increase?
write the factorizations of the exponents below and then compute the exponents below
Given:
The exponents.
To find:
The factorizations of the exponents and their values.
Solution:
We know that,
[tex]a^n=a\times a\times a\times ...\times a(n-times)[/tex]
Using this rule, we get the factorizations of the given exponents and their values.
[tex]2^3=2\times 2\times 2=8[/tex]
[tex]3^2=3\times 3=9[/tex]
[tex]6^2=6\times 6=36[/tex]
[tex]4^3=4\times 4\times 4=64[/tex]
[tex]7^3=7\times 7\times 7=343[/tex]
[tex]8^2=8\times 8=64[/tex]
[tex]3^4=3\times 3\times 3\times 3=81[/tex]
[tex]7^2=7\times 7=49[/tex]
[tex]6^3=6\times 6\times 6=216[/tex]
[tex]9^2=9\times 9=81[/tex]
Danielle wants to paint her daughters room pink. She has two different plans: Plan A: Use 5 parts white and 2 parts red. Plan B: Use four parts white and 1 part red.
If "Danielle" needs a total of 3 gallons of paint, how much will need to be red and how much will need to be white to make the least red mix? Use the mix that you selected from part A. (DOK 3)
Answer:
If we are assuming that plan A produces a whole gallon then you would need 15 parts white and 6 parts red
Step-by-step explanation:
Vicky reads at a constant rate. She can read 5 pages in 9 minutes. Write an equation to represent her constant rate
Answer:
15------_&667-&&677
ASAP PLZ
Aqua town charges $4.50 admission plus $0.75 for each ride. The cost at Wet World is $2.50 admission plus $1.25 per ride. Write an equation for the cost of going to Aqua Town. Write an equation for the cost of going to wet world. How many rides would you have to ride for both water parks to cost the same amount? What would the cost be? Write a system of equations( put your two equations equal to each other)to solve for x and y. Write your answer in the form (x,y).
Answer:
9.00
Step-by-step explanation:
which inequality represents all values of x for which the quotient below is defined? ✓15(x-1) ÷ ✓2x^2
Answer:
C. x ≥ 1
Step-by-step explanation:
A P E X
what is the coefficient of -2x+8=10
Step-by-step explanation:
Let's solve your equation step-by-step.
−2x+8=10
Step 1: Subtract 8 from both sides.
−2x+8−8=10−8
−2x=2
Step 2: Divide both sides by -2.
−2x−2=2−2
x=−1
Answer:
Answer:
-2
Step-by-step explanation:
The coefficient of an equation or expression is any constant that precedes a variable. So, in this case, the only variable is x, so the coefficient is the preceding number, -2.
Two bumper cars are the EXACT SAME MASS and collide into each other's front bumper while traveling at the EXACT SAME VELOCITY. Explain how the velocity of the bumper cars will change. Explain your answer in the box below using details and evidence from what you learned in class (ex: sims, models, discussions).
Answer:
the effect
Step-by-step explanation:
its gonna release the mass into a crash happening so the bumper would fly off
Answer:the effect
Step-by-step explanation: it says to explain how the velocity has changed. The cars did bump in to each other but in order to see how it changed we need the effect and that is your amswer
Find the radian measure of the central angle of the circle of radius 6 cm that intercepts an arc of length 32 cm.
Answer:
formula to use: s=rx, s=arc, r=radius, x=central angle in radians
32=6x
x=32/6=16/3 radians
Step-by-step explanation:
hope this helps! :)
The radian measure of the central angle of the circle is 5.33 rads
A circle is the locus of a point such that its distance from a fixed point is constant.
The arc length is given by:
Arc length = θ * r
Where r is the radius and θ is the central angle in radians.
Given an arc length of 32 cm and radius of 6 cm, hence:
Arc length = θ * r
32 = θ * 6
θ = 5.33 rads
Find out more at: https://brainly.com/question/16403495
(This is more like science!) the question is : According to the diagram below in what direction will the motion of the book go?
A. To the left
B. To the right
C.the books motion won’t change
D.upwards
( please answer if you’re sure this is really important thank you!)
Answer:
a to the top left hope this help
Guys I would really like the help pls
Answer:
#1: 345
#2: 10%
#3: 7.35
#4: 290.50
Step-by-step explanation:
I NEED help with this ASAP
Answer:
11-d
12-g
13-h
14-c
15-j
16-e
17-b
18-f
19-k
20-a
Step-by-step explanation:
Just plot the coordinates
Here are the answers:
D
G
H
C
J
E
B
F
K
A
Solve the following problems. Remember that all reasoning must be explained, and all steps of math work must be shown!
Topic: Angles in a Circle
JUST DO ONE quesTION
Answer:
Here it is sorry for the wait
Step-by-step explanation:
-7p-10=-8p-9p
what is p?
Answer:
P = 1
Step-by-step explanation:
-7p-10=-8p-9p
-7p + 8p + 9p = 10
10p = 10
p = 10/10
p = 1
someone answer please??
Answer:
2197 mosquitos
Step-by-step explanation:
If we assume that the colony grows at a constant exponential rate of 30%, we can then multiply 1300 by 30% and add that to our original 1300, and we get 1690. If we do that one more time for 3 days, we get 2167 mosquitos.
6
Identify the values that create ordered pairs that are solutions to the equation 3x - 5y = 20.
What is the y value for the first ordered pair?
(1 Point)
(5, y1)
and
(x2, 2)
- 14
-5
-1
2
5
Answer:
(5, -1)
(10, 2)
Step-by-step explanation:
Are the two triangle below similar
find the percent of increase from 290 to 490
OMG this question is so weird but please take it seriously. Working together, Tom and Di ck can dig 3 holes in 6 hours. Knowing Tom digs twice as fast as Di ck, how many hours would it take Tom, working alone, to dig 12 holes?
Answer:
Tom can dig 12 holes in 36 hours.
Step-by-step explanation:
Tom and Di ck dig 3 holes in 6 hours.
Tom works twice as fast as Di ck, so it is as if Tom is the same as 2 people at Di cks's speed and Di ck is as if it is 1 person at Di ck's speed. This means it is as if there are 3 people working at Di ck's speed.
Di ck working alone can dig 1 hole is 6 hours.
Tom can dig 2 holes in 6 hours.
Tom can dig 12 holes in 36 hours.
y = -x + 5
Write in standard form. PLEASE SHOW WORK! WILL GIVE BRAINLY!
Answer:
x+y=5
Step-by-step explanation:
y=-x+5
add x to both sides
x+y=5
Answer:
x + y = 5
Step-by-step explanation:
The equation of a line in standard form is
Ax + By = C ( A is a positive integer and B, C are integers )
Given
y = - x + 5 ( add x to both sides )
x + y = 5 ← in standard form
Find the volume of a right circular cone that has a height of 7.6 in and a base with a
radius of
4.4
in. Round your answer to the nearest tenth of a cubic inch.
9514 1404 393
Answer:
V ≈ 154.1 in³
Step-by-step explanation:
Use the formula for the volume of a cone:
V = (1/3)πr²h
V = (1/3)π(4.4 in)²(7.6 in) ≈ 49.045π in³
V ≈ 154.1 in³
__
Additional comment
If you use 3.14 for π, your result will be 154.0 in³.
Shari takes violin lessons. The equation
288x – 4y = –192 relates y, the total cost of the
lessons, and x, the number of lessons. Shari
incorrectly states that the y-intercept is –192. why did shari think that -192 was the y-intercept?
Answer:
if [tex]-192[/tex] is not divided by [tex]-4[/tex], then y - intercept becomes [tex]-192[/tex].
In such a situation, Shari thought that -192 was the y-intercept.
Step-by-step explanation:
Given: [tex]288x-4y=-192[/tex]
Solution:
Consider the equation:
[tex]288x-4y=-192[/tex]
To find y-intercept, put [tex]x=0[/tex]
[tex]288(0)-4y=-192\\-4y=-192\\y=\frac{-192}{-4}\\y=48[/tex]
In the second step [tex]-4y=-192[/tex],
if [tex]-192[/tex] is not divided by [tex]-4[/tex], then y - intercept becomes [tex]-192[/tex].
In such a situation, Shari thought that -192 was the y-intercept.
How is the graph of y = |x| − 1 different from the parent function f(x) = |x|?
Answer:
Step-by-step explanation:
the graph moves down one unit
if you add/subtract outside the parent function the graph moves up/down
We can define transformations as operators that act over functions and modify them in some way. One of these transformations is the family of translations, who translate the whole graph of the function in some given direction.
Here we will find that the graph of y = |x| - 1 is a translation of 1 unit downwards of y = |x|.
To see this, we first need to know the vertical translation.
For a given function f(x), a vertical translation of N units is written as:
g(x) = f(x) + N
If N is positive the translation is upwards
if N is negative the translation is downwards,
So if here we have:
f(x) = |x|
then:
g(x) = |x| - 1 = f(x) - 1
So we can see that this is a translation of one unit down. This moves the whole graph of |x| one unit downwards, the graphs can be seen in the image below.
Where the blue graph is the one of y = |x| - 1
If you want to learn more, you can read:
https://brainly.com/question/24401156
Calculate the area and perimeter
Answer:
Area: 38cm^2
Perimeter: 26cm.
Step-by-step explanation: though you probably don't need the explanation, you can calculate the area by splitting the figure into two squares and getting their areas before adding them up to get 38cm^2.
As for the perimeter, you can add all the sides, 5,6, 1,2,4,8, to get 26cm.
