Answer:
18 ft and 30 ftStep-by-step explanation:
The new dimensions will be:
10 + x and 22 + xThe area is 540
Using area equation we get:
(10 + x)(22 + x) = 540x² + 32x + 220 = 540x² + 32x = 320x² + 2x*16 + 256 = 320 + 256(x + 16)² = 576x + 16 = √576 (Ignoring the negative root as the length is never negative)x + 16 = 24x = 8The new dimensions are:
10 + 8 = 18 ft and 22 + 8 = 30 ftHank's pickup can travel 54 miles on 3 gallons of gas. How many gallons will Hank's pickup need to travel 36 miles?
Answer:
2 gallons
Step-by-step explanation:
the last digit in a measurement is _______ and is considered _______.
Step-by-step explanation:
Indicating Precision of Measurements:
Scientists understand that the last digit (and only the last digit) in a measurement is an estimate. By writing 25.45 cm, you indicate that you are sure that the measurement was between 25.4 cm and 25.5 cm, and you estimate that it was about 5/10 of the way between them.Aug 18, 2005
Worth 100 Points!
Help, this is after an test. And I still don't understand it. Could someone please help me understand this question related to inverse functions? Thanks!
You were close, and have the right idea, but I think you did it a bit backwards! You want to "flip" it over the y=x line (picture attached below)
To solve for the inverse, you will find the equation of the original, switch the x and y, then solve for y.
We can (mostly, I think?) tell the equation for f(x) is as follows, so we switch the y and x for the steps following to solve for y:
[f(x)] y = -2x + 2
[switch] x = -2y + 2
[subtract 2 from both sides / flip equation] -2y = x - 2
[divide both sides by -2] y = -2x -4
So our equation for g(x) will be about y = 2x -4
(inverse so the negative is weird)
Photos:
- first is y=x
- second is the general idea of the inverse for what g(x) should look like
- third is kinda what the graph will look like (digitally)
I know this isn't a *perfect* answer, but I hope it explains it some and helps. Good luck! :D
The GCF of two numbers is 3 and the LCM is 180. If the one of the number is 45, what is the other number?
Answer:
45
Step-by-step explanation:
45 = 3*3*5
180 = 2*2*3*3*5 <---- so the other number had to contain a factor of 2*2 or 4
also, let the other number has to be of the form 3k and it must contain a factor of 4, how about 12 ?
check: lcf of 12 and 45 is 3,
the lcm of 12 and 45 is ...
12 = 2*2*3
45 = 3*3*5
so we need: 2*2*3*3*5 = 180
3
10 points
A vector starts at point (-8,-6) and ends at point (7,-3) what is the horizontal component of the vector?
Type your answer...
Using diagonals from a common vertex, how many triangles could be formed from a hexagon?
An apple orchard charges a $5 admission fee and $3 for each basket of apples you take home. Write an equation to represent the total cost if your trip to the apple orchard
Answer:
y = 3x + 5
Step-by-step explanation:
y = total cost
x = basket of apples
5 = admission fee
y = cost per basket + admission fee
y = 3x + 5
-
7.5 ft
Find the perimeter of the semicircular region
Harry drives a lot as a part of his job, and he notes that an upcoming trip is from the office to a meeting location that is 2 inches away on a map. The map uses a scale of 1 inch = 34 miles. What is the actual distance between the office and the meeting location?
Answer: The actual distance is 68 miles.
Step-by-step explanation:
Classify this number as rational, irrational, or nether: 6
Answer:
The answer is : Rational
Can someone help me :(( thank you so so much if u do <33:)
Answer:
13
Step-by-step explanation:
8-13=-5
Answer:
13
Step-by-step explanation:
8 - 13 = -5
that is your answer
not sure how to do these. i need help with 13! needing it to be reduced just like y should be 8
Answer:
I'm not sure 710
Step-by-step explanation:
I'm not sure
Answer:
#14
y=5
x=14
Step-by-step explanation:
I did 14 for you
the two expressions with x equal each other since they are on the same side of their line, similar to eachother. Then plug in x into one of those expressions and do 180- your answer to get the angle for one of the y expressions since its on the other side of the line. both angles have to add up to 180.
Find the area of this triangle.
Answer:
84 cm²
Step-by-step explanation:
Area triangle = 1/2(b x h)
Area = 1/2(21 x 8)
Area = 1/2(168)
Area = 84
84 cm²
-Chetan K
Can someone Please Help
Answer:
4
Step-by-step explanation:
2 to the power of 4 is the same as 2×2×2×2.
That is also the same as 4×4, which equals 16.
Answer:
4
Step-by-step explanation:
HELPPP PLEASEEE
If θ is 180 degrees and the radius is 4.9 cm, the length should be
A) 10.4 cm
B) 13.6 cm
C) 15.4 cm
D) 16.6 cm
Answer:
15.4 is right ans
Step-by-step explanation:
using this formula θ ×(22÷7÷180)×r
Please please help me with this question please now and show your steps
Answer:
[tex]y = {x}^{2} - 8x + 7 \\ a = 1 \: and \: b = - 8 \\ the \: line \: of \: symmetry \: \\ x = \frac{ - b}{2a} = \frac{8}{2} \\ x = 4(line \: of \: symmetry) \\ y = {4}^{2} - 8(4) + 7 \\ = 16 + 32 + 7 = y = 55 \\ vertix \: is \: (4 ,55) \\ y = {0}^{2} - 8(0) + 7 \\ y = 7 \\ 0 = {x}^{2} - 8x + 7 \\ (x - 7)(x - 1) = 0[/tex]
x over 32 = 3 over 16
Answer:
7/32 = 3/16
Step-by-step explanation:
Answer:
x=6
Step-by-step explanation:
We simplify the equation to the form, which is simple to understand
x/32=3/16
Simplifying:
+ 0.03125x=3/16
Simplifying:
+ 0.03125x=0.1875
We move all terms containing x to the left and all other terms to the right.
+ 0.03125x=0.1875
We simplify left and right side of the equation.
+ 0.03125x=0.1875
We divide both sides of the equation by 0.03125 to get x
Line t passes through points (1, 11) and (5, 2). Line u is parallel to line t. What is the slope of line u?
Answer:
slope = - [tex]\frac{9}{4}[/tex]
Step-by-step explanation:
Calculate the slope of line t using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (1, 11 ) and (x₂, y₂ ) = (5, 2 )
m = [tex]\frac{2-11}{5-1}[/tex] = [tex]\frac{-9}{4}[/tex] = - [tex]\frac{9}{4}[/tex]
Parallel lines have equal slopes , then
slope of line u is - [tex]\frac{9}{4}[/tex]
90 entre (7 + 3) x 2
What is the equation of the line that is perpendicular to -2/5x-7 and passes through (4,-1)?
Step-by-step explanation:
maybe this is not the full expression, as you wrote the line equation in a funny way.
I understand the following :
the line is
y = (-2/5)×x - 7
perpendicular means crossing at a right angle (90 degrees).
the slope of the original line is -2/5.
as in every line equation, the slope is the factor of x. and it expresses the ratio y/x indicating the amount of units y is changing, when x changes a certain amount of units (e.g. when going from one point on the line to another).
the perpendicular slope turns the original y/x ratio upside-down, and also flips the sign.
so, it is 5/2.
the equation for the perpendicular line looks like
y = (5/2)×x + b
now what is b ?
for this we use the specified point on the line : (4, -1)
and we put these values as x and y into the equation :
-1 = (5/2)×4 + b = 5×2 + b = 10 + b
b = -11
and so, the full equation of the perpendicular line is
y = (5/2)×x - 11
Are the triangles congruent?
-yes by SSS
-yes by SAS
-yes by ASA
-yes by AAS
-yes by HL
Answer:
yes by SAS
it is Side angle Side
Sixty tickets at $90 each cost
Cost of 1 ticket = $ 90
Cost of 60 tickets = ?
Cost of 60 tickets = 90 × 60 = $ 5400.
Answer:
5,400
Step-by-step explanation:
well, if they're sixty tickets and each cost approx. $90, which means it's 60 x 90, and that gets to 5,400.
9. Aaron has a lemonade business. If he sells each glass of lemonade for $2.75, and he sold 11
glasses of lemonade today, how much money did Aaron make?
Help me please this is due answer the question please
Answer:
$27.75
Step-by-step explanation:
Multiply $2.25 by 11 to get the answer
Step-by-step explanation:
He sold 11 lemonades for $2.75 each, so you need to multiply the numbers to get your answer-
11 x 2.75 = 30.25
Which means he made $30.25
The length of a rectangular garden is 5 less than triple
its width. If the perimeter of the garden is 70 feet,
find the dimensions of the garden algebraically.
Answer:
Width = 10 feet, Length = 25 feet
Step-by-step explanation:
the width is x
the length is 3x-5
so, 2(x+(3x-5))=70 is the equation
2(x+3x-5)=70
2x+6x-10=70
8x-10=70
8x=10
x=10.
Width = 10 feet
Length = 25 feet
Compare 9/15 and 10/15
Answer: 9/15 < 10/15
Step-by-step explanation: 9/15 < 10/15
i need the answer to the bottom question please help !!!!!!!!!!!!!!
Answer:
y = 9/17 x - 28/17
Step-by-step explanation:
what is the sign of a • (-b/b) when a = 0 and b < 0?
Answer:
gimmie my points boi
Step-by-step explanation:
eiurfh4iewurhfwo8rho
what is the distance from "-15" to 15 ?
15 , 0, -0 , 30
Answer:
the distance would be 30.
Answer:
30
Step-by-step explanation:
-15 to 0 is 15
0 to 15 is another 15
15+15 = 30
absolute value*
(2 x 3) + (3 x 4) =
Answer:
18
Step-by-step explanation:
To answer, you want to follow PEMDAS:
P = parentheses
E = exponents
M = multiplication
D = division
A = addition
S = subtraction
So, the first step is parentheses, therefore we do whatever is inside the parentheses, and that is multiplying:
(2 * 3) + (3 * 4) =
6 + 12
Now, because there are no exponents, we cannot multiply anymore, and we cannot divide, we can add:
6 + 12 =
18
And that is our final answer!
Hope this helps :)
plz tell the solution for this Q
Answer:
rational
Step-by-step explanation:
a is the answer