Answer:
width = 2 units
Step-by-step explanation:
If the length of a rectangle is (x) units, then that means that the width of a rectangle is x - 4 units.
the area of a rectangle is length * width
so just substitute the values that we have now.
x (length) * (x-4) width = 12 (area of rectangle)
so that gives us
x^2 - 4x =12
subtract 12 from both sides
x^2 - 4x - 12 =0
now factor this equation
x^2 + 2x - 6x -12 = 0
x(x+2) - 6(x+2) = 0
(x-6)(x+2) = 0
x = 6, or x = -2 REMEMBER THAT VALUE OF x = LENGTH, IT CANNOT BE NEGATIVE AS YOU CANT HAVE NEGATIVE VALUE OF A SIDE
length = 6, and width = 6 -4 = 2
Answer:
W=2 units
Step-by-step explanation:
Length=L
Width=L-4
Area of a rectangle= L*W
L(L-4)=12
L^2-4L=12
L^2-4l-12=0
Now we have a quadratic equation
(L-6)(L+2)=0
L=6, L=-2
L cannot be -2 because it is negative, so L must be 6.
BUT it is asking for the width
and it is given that the width is the length minus 4 units, so
6-4= 2 units
Solve for y: 12x + 4y = 24
Plz help
A) y=4
B) y=-3x+6
C) y=-1/2x+4
D) y=2x+4
Answer: b
Step-by-step explanation:
What is the area of a rhombus if one diagonal is 6 centimeters and the other diagonal is 8 centimeters?
Answer:
24 cm²
Step-by-step explanation:
The area (A) is calculated as
A = [tex]\frac{1}{2}[/tex] product of the diagonals, that is
A = 0.5 × 6 × 8 = 24 cm²
Will give brainliest answer
Answer:
4
Step-by-step explanation:
diameter = 2r
r = radius
radius = 2
2 * 2 = 4
Answer:
4 units
Step-by-step explanation:
the radius of the circle is 2 units. and the radius if half the size of the diameter.
so if we did 2 units × 2, that would give you 4 units.
therefore the answer is
4 units
i hope this helps you! <3
Which linear function has the same y-intercept as the one that is represented by the graph?
The function shown is y=-2x+10
If we want the same y-intercept all we need to fo is change the slope.
For example, these are valid asnwers,
y=-3x+10
y=0.5x+10
y=10x+10
Answer:
y = 2x+10
Step-by-step explanation:
What are the solutions to the equation?
x2 + 6x = 40
Ox=-10 and x = 4
O x= -8 and x = 5
Ox= -5 and x = 8
x= -4 and x = 10
Answer:
A. x=4 and x= -10
Step-by-step explanation:
x^2 +6× = 40
x^2 +6x -40
(x-4)(x+10)
x-4 = 0
x+10 = 0
x= 4
x=-10
The solutions to the equation are x = -10 and x = 4.
Option A is the correct answer.
What is a solution?Solutions are the values of an equation where the values are substituted in the variables of the equation and make the equality in the equation true.
We also find the solution in a system of equations using the substitution or elimination method.
Example:
2x + 4 = 8
The solution is x = 2.
We have,
To solve the equation x² + 6x = 40,
We need to first rearrange it into the standard quadratic form of:
ax² + bx + c = 0.
x² + 6x - 40 = 0
Now, we can factor the quadratic expression or use the quadratic formula to solve for x.
Factoring:
(x + 10)(x - 4) = 0
Setting each factor equal to zero and solving for x gives:
x + 10 = 0 or x - 4 = 0
x = -10 or x = 4
Therefore,
The solutions to the equation are x = -10 and x = 4.
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NEED HELP ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
C. l only
Step-by-step explanation:
Three listening stations located at (3300, 0), (3300, 4400), and (-3300, 0) monitor an explosion. The last two stations detect the explosion 4 seconds and 4 seconds after the first, respectively. Determine the coordinates of the explosion. (Assume that the coordinate system is measured in feet and that sound travels at 1100 feet per second.)
Answer:
hang gang ok
i10 Njan malayalam verupikkal is my job
Given: CD = I, and
matrix inverse
Find the elements of D.
a =
b =
c =
d =
e =
f =
g =
h =
i =
Answer:
Edge answers in order:
a= -9
b= 7
c= 12
d= -5
e= 4
f= 7
g= 3
h= -2
i= -4
Step-by-step explanation:
just did the activity on edge.
Answer:
a = -9
b = 7
c = 12
d = -5
e = 4
f = 7
g = 3
h = -2
i = -4
Step-by-step explanation:
You open your first interest-bearing savings account with an initial deposit of
$2,500. Interest is compounded quarterly at a rate of 3.5%. Assuming you do not
deposit any more money into the account, how much money will you have in the
account after 5 years?
Answer:
$2,975.85
Step-by-step explanation:
Lets use the compound interest formula provided to solve this:
[tex]A=P(1+\frac{r}{n} )^{nt}[/tex]
P = initial balance
r = interest rate (decimal)
n = number of times compounded annually
t = time
First, change 3.5% into a decimal:
3.5% -> [tex]\frac{3.5}{100}[/tex] -> 0.035
Since the interest is compounded quarterly, we will use 4 for n. Lets plug in the values now:
[tex]A=2,500(1+\frac{0.035}{4})^{4(5)}[/tex]
[tex]A=2,975.85[/tex]
After 5 years, the account will have $2,975.85
Mr. Morris asked Rob to shovel the snow from his driveway every day that it snowed during the month of January. He agreed to pay Rob $0.01 for the first day, $0.02 for the second day, $0.04 for the third day, $0.08 for the fourth day, and so on. If it snowed for 13 days in January, how much would Mr. Morris pay Rob on the 13th day?
Do not answer if you do not know. Only good answers with explanations.
Answer:
Total amount to be paid on 13th day is $40.96.
Step-by-step explanation:
Mr. Morris pays Rob $0.01, $0.02, $0.04 ..... on 1st, 2nd , 3rd .... day respectively.
We can clearly see that the next number is becoming double of the previous value.
The above sequence of numbers are in a Geometric Progression with
First term, a = 0.01 and
Common ratio, r = 2
We have to find the total amount paid on 13th day.
We know that the [tex]n^{th}[/tex] term of a GP is given by:
[tex]a_{n} =ar^{n-1}[/tex]
Where, a is the first term of GP
r is the common ratio
We have to find the [tex]13^{th}[/tex] term of the GP as per question statement.
Putting the values in the formula above:
n = 13
a = 0.01 and
r = 2
[tex]a_{13} = 0.01 \times 2^{13-1}\\\Rightarrow 0.01 \times 2^{12} \\\Rightarrow 0.01 \times 4096\\\Rightarrow 40.96[/tex]
Total amount to be paid on 13th day is $40.96.
Declan says that for any number n, the product 4x n is greater than 4. Which value of n shows why Declan is incorrect
Answer:
[tex]n > 1[/tex]
Step-by-step explanation:
Given
Statement: 4x n is greater than 4
Required
Value of n
First we need to rewrite the statement in algebraic form;
Product 4 * n is represented by 4n
greater than 4 is represented by > 4
Bringing these two together, it gives the following
[tex]4n > 4[/tex]
Divide through by 4
[tex]\frac{4n}{4} > \frac{4}{4}[/tex]
[tex]n > 1[/tex]
We've arrive at solution;
This means that n is greater than 1
So, the values of n must start from 2 to show that the condition is true
The value of n = 7/8 makes the inequality 4n > 4 false because 7/8 is less than 1.
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 have n as a number.
4n > 4
Plug n = 5
20 > 4 (true)
Plug n = 9/5
36/4 > 4
9 > 4 (true)
Plug n = 3
12 > 4 (true)
Plug n = 7/8
28/8 > 4
3.5 > 4 (false)
Thus, the value of n = 7/8 makes the inequality 4n > 4 false because 7/8 is less than 1.
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What is the quotient?
Answer:
4x10^12
Step-by-step explanation:
Which function will have a y-intercept at –1 and an amplitude of 2?
f (x) = negative sine (X) minus 1
f (x) = negative 2 sine (x) minus 1
f (x) = negative cosine (x)
f (x) = negative 2 cosine (x) minus 1
Answer:
Options B and D.
Step-by-step explanation:
The general form of sine function
[tex]h(x)=A\sin (Bx+C)+D[/tex]
where, |A| is amplitude, [tex]\frac{2\pi}{B}[/tex] is period, [tex]\frac{-C}{B}[/tex] is phase shift and D is y-intercept.
The general form of cosine function
[tex]h(x)=A\cos (Bx+C)+D[/tex]
where, |A| is amplitude, [tex]\frac{2\pi}{B}[/tex] is period, [tex]\frac{-C}{B}[/tex] is phase shift and D is y-intercept.
In function, [tex]f(x)=-\sin x-1[/tex]
Amplitude : [tex]|A|=1[/tex]
y-intercept : -1
In function, [tex]f(x)=-2\sin x-1[/tex]
Amplitude : [tex]|A|=2[/tex]
y-intercept : -1
In function, [tex]f(x)=-\cos x[/tex]
Amplitude : [tex]|A|=1[/tex]
y-intercept : 0
In function, [tex]f(x)=-2\cos x-1[/tex]
Amplitude : [tex]|A|=2[/tex]
y-intercept : -1
Therefore, the correct options are B and D.
Answer:
B
Step-by-step explanation:
edge2020 quiz
You spin the spinner and flip a coin. Find the probability of the compound event.
The probability of spinning an even number and flipping tails is
Answer:
The answer would be 1/2
Step-by-step explanation:
Heads or tails are 50/50 chances as well as the odd and even numbers.
What are the coordinates of point K?
(-
)
()
Answer:5/8 and 1/4
Step-by-step explanation:
The coordinates of point K can be given by (-1/4, 5/8).
What are cartesian coordinates?Cartesian coordinates are the values on a graph that can be used to show the location of a point on the graph.
The coordinates of point K can be found as follows:There are 4 lines between 0 and -1 on the x-axis which divide it into 4 equal parts.
Point K lies on the first line. This means that the x-coordinate of the point is -1/4.
There are 8 lines between 0 and 1 on the y-axis which divide it into 8 equal parts.
Point K lies on the fifth line. This means that the y-coordinate of the point is 5/8.
From this, we can understand that the coordinates of the point K on the graph can be given by (-1/4, 5/8).
Therefore, the coordinates of point K can be given by (-1/4, 5/8).
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Complete the equation of the line whose slope is -2 and y-intercept is (0,-8)
y=
Answer:
y = -2x - 8
Step-by-step explanation:
We want to find the slope-intercept form of this equation. Slope-intercept form is denoted by: y = mx + b, where m is the slope and b is the y-intercept.
We already know that the slope is -2, so that means m = -2.
We also know the y-intercept (or the point where the line crosses the y-axis) is (0, -8), which means b = -8.
Thus, our equation is: y = -2x - 8.
~ an aesthetics lover
y=-2x-8 this should be right i had this same problem before :)
A car travels at a constant speed for 45 minutes. During this time the car goes
48 miles. If the car continues at this same constant speed, write an equation that
models the number of miles, m, it will travel in t hours?
How far will the car travel in 7 hours ?
Answer:
IDK
Step-by-step explanation:
Answer: 308
Step-by-step explanation:
sorry if wrong............
The average test mark of the class? mark of a class of 20 student is 65. Twum's mark was recorded as 35 instead of 55. What is the correct average mark of the class
Answer:
66
Step-by-step explanation:
Wrong total mark = 65 * 20 = 1,300
remainder of Tum score to be added= 55-35 = 20
Add this to total = 20 + 1300 = 1320
Correct average score = 1320/20 = 66
Answer:
66
Step-by-step explanation:
If you answer can you write how you solved it?
Answer:
[tex]145.3in^2[/tex]
Step-by-step explanation:
[tex]A_{L} =2\pi rh=2*\pi *2.5*9.25\\=145.3in^2[/tex]
asap-worth 25% of overall
Answer:
ummm
Step-by-step explanation:
what is the question
PLEASE HELP ME ASAP I WILL GIVE YOU BRAINLIEST TO THE FIRST PERSON WHO ANSWERS CORRECTLY- find the value of Y
Answer:
Y=7
Step-by-step explanation:
PYTHAGOREAN THEOROM
meg mixes 3 parts silver paint with 4 parts green paint to get a specific color. Is the ratio 5:6 equivalent to 3:4?
Yes, because both ratios show a pair of numbers that have a difference of 1.
Yes, because any combination of silver and green will work.
No, because the numbers in the given ratio must be multiplied by the same number.
No, because there cannot be more than 4 green parts.
Answer:
No, because the numbers in the given ratio must be multiplied by the same number.
Step-by-step explanation:
Essentially, ratio to be equal must be equal. E.g. 3:4 would be equal to 6:8 because you multiply both sides of the ratio by 2.
Answer:
answer is No, because the numbers in the given ratio must be multiplied by the same number. or c
Step-by-step explanation:
PLEASE ASAP
graph
-1
Answer:
on a graph paper draw the coordinate plane and locate -1 and draw a horizontal line
Step-by-step explanation:
Theresa is comparing the graphs of y=2x and y=5x. Which statement is true?
The y-intercept of y=2x is (0, 2), and y-intercept of y=5x is (0, 5).
Both graphs have a y-intercept of (0, 1), and y=2x is steeper.
Both graphs have a y-intercept of (0, 1), and y=5x is steeper.
Neither graph has a y-intercept.
Answer:
Both graphs have a y-intercept at 0,1. The y=2^x is steeper than y=5^x
Step-by-step explanation:
If you graph these on a graphing calculator you will clearly see they have the same y-intercept (0,1) and that y=2^x is steeper.
The correct option is option B that is both graphs have a common y-intercept of (0, 1) and y = 2x is steeper.
What is the intercept of a line ?
The point where the line or curve crosses the axis of the graph is called intercept. If a point crosses the x-axis, then it is called the x-intercept.
Theresa is comparing graphs of y = 2x and y = 5x
The y-intercept is the point where a graph crosses the y-axis. In other words, it is the value of y when x = 0.
Let's check
which is y = 2x.
For x = 0 , y = 0
for x = 1 , y = 2
So , here y-intercept will be (0,2)
So , for both the values y - intercept exists for first function which is y = 2x.
Similarly, for y = 5x , there will be a y -intercept of (0,5).
Both graphs have a common y-intercept of (0, 1).
We know that if the slope of the graph is steeper then we can say that the tangent of the angle made by it will be more and it will make more angle with the x axis.
Here , y = 2x is more steeper than y = 5x.
Therefore , the correct option is option B that is both graphs have a common y-intercept of (0, 1) and y = 2x is steeper.
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Solve the system of equations
Y=1-1/3x
X^2+y^2=1
Answer:A
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
a rectangular field has side lengths that measure 9/10 mile and 1/2 mile what is the area of the field
Answer:
[tex]\frac{9}{20}miles^2=0.45miles^2[/tex]
Step-by-step explanation:
To find the area of a rectangle:
[tex]a=l*w[/tex]
where [tex]l[/tex] is the length and [tex]w[/tex] is the width.
In this case:
length: [tex]l=\frac{9}{10}miles[/tex]
width: [tex]w=\frac{1}{2} miles[/tex]
thus, we multiply this quantities to find the area:
[tex]a=(\frac{9}{10} miles)(\frac{1}{2}miles )\\\\a=\frac{9*1}{10*2}miles^2\\ \\a=\frac{9}{20}miles^2[/tex]
the area of this rectangle is 9/20 miles squared, or what is the same 0.45 miles squared
Which are these two, please help
Answer:
4. this would be a positive correlation
5. this has no correlation
Step-by-step explanation:
I hope that was the answer you are looking for
Answer:
The first one has a positive association. You can see that if you were to make a like marking the average rate of change, it would be positive.
For the second one, it would actually be both positive and negative. But Since it does both, it has no correlation.
Step-by-step explanation:
Write the number 38 in base five.
Answer:
I believe since 38 is base 10 then in bas 5 it will be 123 I hope I helped
Step-by-step explanation:
What is the sticker price for a vehicle with the following features and costs: suggested retail price of $13,760, destination charge of $475, equipped with AC, cruise control, and a custom sound system for $800, $235, and $490, respectively?
$15,760
$13,760
$13,370
$11,760
Answer:
15,760
Step-by-step explanation:
I just added all of them...
The sticker price we just need to add all the extras to the suggested retail price. The total sticker price would be $15,760.
What is addition?The addition is one of the mathematical operations. The addition of two numbers results in the total amount of the combined value.
To find the sticker price we just need to add all the extras to the suggested retail price:
suggested retail price $13,760
air conditioner $800
cruise control $235
custom sound system $490
destination charge $475
total sticker price = 13,760 + 800 + 235 + 490 + 475
= 15,760
The total sticker price would be $15,760.
The sticker price includes all the extras that the car dealer adds to the MSRP, and is generally the price of ready-to-sell cars.
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What is a reasonable estimate for the volume of a number cube:
8 cm3, 27 in?, or 1 ft??
Answer:
I think the 8 cm one :D
