Answer:
Perimeter of the new rug = 4x+2 feet
Step-by-step explanation:
Let the length be x feet and the width of the first rug will be x- 3 feet
Area = length * breadth = x * (x-3) = x²- 3x
Length of the new rug = x+2 feet
Width of the rug = x+2-3= x-1 feet
Perimeter of the recatngle = 2( length + breadth)
= 2( x+2 + x-1)
= 2 (2x+1)
= 4x+2 feet
3. Which property of multiplication is shown by the equation
14.y.1 = 14y?
A. Associative
C. Commutative
B. Distributive
D. Identity
Answer:
identity
Step-by-step explanation:
it states that any number times 1 is equal to itself. so when u have 14y, you can multiply it by 1 and it will remain the same.
Answer:
identity
Step-by-step explanation:
16 is what percent of 96?
Answer:
15.36%
Step-by-step explanation:
The critical points of a rational inequality are x = –4 and x = 2. Which set of points can be tested to find a complete solution to the inequality?
Answer:
-2
Step-by-step explanation:
Answer:
-2
Step-by-step explanation:
Vivian earned $540 last month. She saved 30% of this money. How much did she save?
Answer:
$162
Step-by-step explanation:
Step 1: Multiply 540 by .3 (convert 30% to a decimal)
540 x 0.3= 162
To find the inverse of f(x) = 2x – 1, Patel begins by replacing f(x) with y. He then switches x and y. What is the next step?
A.Solve the equation for x.
B.Subtract 1 from both sides of the equation.
C.Solve the equation for y.
D.Replace y with f–1(x).
it a
Answer:
Step-by-step explanation:
C. Solve for y
Stanley has a part time job planting flowers at the green thumb green house. He earns $11.40 per hour. If he worked 13.5 hours this week, how much did her earn
Which equation matches the story: Elena spends $17 and buys a $3 book and a bookmark for each of her 5 cousins. How much does each bookmark cost?
3(x+5)=17
3x+5=17
5(x+3)=17
5x+3=17
Answer:
$2.80
Step-by-step explanation:
17-3=14
14 divided by 5=
2.8
Add 0 since it's about money.
$2.80
Hey i need help finding the orthocenter for the following points, please show the steps you used. thanks
(-3, 0.5)
(3,3)
(2,-1)
9514 1404 393
Answer:
(81/43, -31/43) ≈ (1.884, -0.7209)
Step-by-step explanation:
The orthocenter is the intersection point of the altitudes of the triangle. Since this is not a right triangle, you need to find the equations of the altitude lines, then find where those intersect.
If we call the points A, B, C in the order given, the attached figure shows the altitude lines from B perpendicular to AC, and from C perpendicular to AB.
We can find the equation of the perpendicular line using the form ...
∆x·x +∆y·y = c
where ∆x and ∆y are the differences in coordinates between the points on the "side" and the value of constant 'c' is determined by evaluating the expression using x and y as the coordinates of the opposite vertex.
__
For line AC, we have ...
(∆x, ∆y) = C - A = (2, -1) -(-3, 0.5) = (2+3, -1-0.5) = (5, -1.5)
Then the equation of the first altitude line is ...
5x -1.5y = 6(3) -1.5(3) = 10.5
Multiplying by 2 puts this in standard form:
10x -3y = 21
__
For line AB, we have ...
(∆x, ∆y) = B - A = (3, 3) -(-3, 0.5) = (3+3, 3-0.5) = (6, 2.5)
Then the equation of the second altitude line is ...
6x +2.5y = 6(2) +2.5(-1) = 9.5
Multiplying by 2 puts this in standard form:
12x +5y = 19
__
Then the orthocenter is the solution to the system of equations ...
10x -3y -21 = 0
12x +5y -19 = 0
This set of equations can be solved a number of ways. One is the "cross-multiplication" method.
1/(10·5 -12·(-3)) = x/(-3·(-19) -5·(-21)) = y/(-21(12) -(-19)(10))
x = 162/86 = 81/43
y = -62/86 = -31/43
The orthocenter is (81/43, -31/43) ≈ (1.884, -0.7209).
_____
Additional comment
The "cross multiply method" is based on cross products when the equations are written in standard form:
ax +by +c = 0
dx +ey +g = 0
Usually, the coefficients are written in two rows of four, with the first column repeated at the end:
a b c a
d e g d
Then cross products are formed, where diagonal down is positive and diagonal up is subtracted from that:
p1 = (ae -db), p2 = (bg -ec), p3 = (cd -ga)
These give the solution to the equations when put in the form ...
1/p1 = x/p2 = y/p3 ⇒ x = p2/p1 and y = p3/p1
If you look at videos of this "cross multiply method," they will put the 1/p1 at the end of the string of equalities, and they will use the coefficients in the order starting with b instead of a. I find the arrangement here easier to remember, so less likely to get confused.
Further comment
You can, of course, find the slopes of the lines, and their opposite reciprocals, then use a point-slope form or some other method for writing the equations of the altitude lines. The solution to the equations can proceed by substitution or elimination. No doubt these methods are somewhat familiar. The method used here tries to get to the answer much more quickly with a lot less writing. (Unfortunately, it takes a bit of writing to explain it all.)
can anyone help i will give brainlist!! also you have to solve the equations using elimination
Step-by-step explanation:
5x+2y=29
5x-2y=41
add the equations
10x=70
divide both sides by ten
x=7
substitute 7 in the first equation
5(7)+2y=29
simplify
35+2y=29
subtract 35 from both sides
2y=-6
simplify
y=-3 x=7
3x+2y=9
5x+2y=12
subtract the equations
-2x=-3
simplify
x=1.5
substitute
3(1.5)+2y=9
simplify
4.5+2y=9
subtract 4.5 from both sides
2y=4.5
simplify
y=2.25 x=1.5
5x+2y=-9
2x-3y=4
multiply first equation by three and second by two
15x+6y=-27
4x-6y=8
add equations
19x=-19
simplify
x=-1
substitute
15(-1)+6y=-27
simplify
-15+6y=-27
add 15 to both sides
6y=-12
simplify
y=-2 x=-1
1. Allison’s middle school team has designed t-shirts containing their team name and color. Allison and her friend Nicole have volunteered to call local stores to get an estimate on the total cost of purchasing t-shirts. Print-o-Rama charges a set-up fee, as well as a fixed amount for each shirt ordered. The total cost is shown below for the given number of shirts. Value T’s and More charges $8 per shirt. Which company should they use?
a. Does either pricing model represent a proportional relationship between the quantity of t-shirts and the total cost? Explain.
b. What is the constant of proportionality of Value T’s and More? What does it represent?
c. How much is Print-o-Rama’s set-up fee?
d. If you need to purchase 90 shirts, write a proposal to your teacher indicating which company the team should use. Be sure to support your choice. Determine the number of shirts that you need for your team.
Answer:
the numbers are missing here, so I looked for a similar question:
Print-O-Rama
# shirts total cost
10 $95
50 $375
a. Does either pricing model represent a proportional relationship between the quantity of t-shirts and the total cost? Explain.
Value T’s and More offers a proportional relationship since each t-shirt costs $8 regardless of the number of t-shirts
b. What is the constant of proportionality of Value T’s and More? What does it represent?
$8 per t-shirt
f(c) = $8t
the function of total cost = $8 times the number of t-shirts ordered
c. How much is Print-o-Rama’s set-up fee?
using the high-low method
variable cost = ($375 - $95) / /50 - 10) = $7 per t-shirt
fixed cost (set-up fee) = $375 - (50 x $7) = $25
d. If you need to purchase 90 shirts, write a proposal to your teacher indicating which company the team should use. Be sure to support your choice. Determine the number of shirts that you need for your team.
purchasing 90 t-shirts at Print-o-Rama costs = $25 + (90 x $7) = $655
purchasing 90 t-shirts at Value T’s and More costs = 90 x $8 = $720
you should purchase the t-shirts at Print-o-Rama since the cost is lower.
Giving Brainlest to the person who explains how to get the right answer !!!!
Food poisoning strikes 76 million people in America each year and kills about 5,000 people each year. What is the the percentage of food poisoning victims who die from food poisoning each year
Answer:
300 million
Step-by-step explanation:
Answer:
5,000 people = 1520000%
Step-by-step explanation:
WHAT IS FRICTION BETWEEN????? NEED ANSWERS ASAP
Answer:
Friction is a force between two surfaces that are sliding, or trying to slide, across each other.
Step-by-step explanation:
For example, when you try to push a book along the floor, friction makes this difficult.
Answer:
Friction is the force that opposes motion between any surfaces that are in contact. There are four types of friction: static, sliding, rolling, and fluid friction. Static, sliding, and rolling friction occur between solid surfaces. Fluid friction occurs in liquids and gases.
Step-by-step explanation:
Choose the representations or descriptions that model the relation provided in each item. For each relation, select all situations that apply.
x -2 0 2 4
f(x) 4 0 4 16
a The relation is a function.
b f( x) = -2 x
c f(4)= -2
d domain: {-2, 0, 2, 4}
e The relation is not a function.
f f( x) = x2
It is B and D because it is the only one that matches the input and outputs. D shows a perfect graph of the points while B shows the points themselves. They cannot be a linear function since they are not linear so it is not E or F.
A 40-degree angle is translated 5 inches along a vector
Answer :need the options you choose frome
Step-by-step explanation:
can someone please please help me? with a reasoning? :(
Answer:
a) 3x + y = -5 & b) y = 1/3 ( 21- 9x )
Step-by-step explanation:
a)
3x + y = -5
y = -3x -5
b)
y = 1/3 ( 21 - 9x)
y = -3x + 7
y = 3x + 2.5
the slop is to be same in the parallel lines. slop means m in ( y = mx + c )
so a) & b) are parallel lines. since their m is -3 .
Will GIVE BRAINILEST TO WHO ANSWERS
Subtract 9x^2+7x-29x 2 +7x−2 from 8x-108x−10.
Answer:
20x^2 - 107x - 10.
Step-by-step explanation:
8x - 108x - 10 - (9x^2 + 7x -29x^2)
simplifying:
-100x - 10 - (7x - 20x^2)
20x^2-100x - 7x - 10
20x^2 - 107x - 10
Answer:
−9x
2
+x−8
Step-by-step explanation:
3(x + 1) = −2(x − 1) − 4
y-3= 5(x - 2)
NEED HELP
Answer:
Y = 5x -7
Step-by-step explanation:
That is written in slope intercept form, which I'm assuming is what you need. If not comment on my answer.
Answer:
y = 5x - 7
Step-by-step explanation:
y-3= 5(x-2)
y-3 = 5x - 10
y=5x -7
This is the answer if you have anymore questions please ask
10 2.5 16 4 ? 7.5 48 12 Which statement explains how to find the number of minutes it takes to bike 7.5 miles? Find the ratio of minutes to miles, 4:1. Divide 7.5 by 4. Find the ratio of minutes to miles, 4:1. Multiply 7.5 by 4. Find the difference between 16 and 10. Add the difference to 16. Find the difference between 16 and 10. Add the difference to 7.5.
Answer:
Find the ratio of minutes to miles, 4:1. Multiply 7.5 by 4.
Step-by-step explanation:
Given
Minutes: 10 || 16 || ? || 48
-----Miles: 2.5 || 4 || 7.5 || 12
Required
Which statements solve for the missing value?
First, we need to calculate the ratio of minutes to mile
[tex]Ratio = \frac{Minutes}{Mile}[/tex]
When minutes = 16; mile = 4
So, we have:
[tex]Ratio = \frac{16}{4}[/tex]
[tex]Ratio = 4[/tex]
Next, we multiply the ratio by 7.5
[tex]Minutes = Ratio * 7.5[/tex]
[tex]Minutes =4 * 7.5[/tex]
[tex]Minutes = 30[/tex]
Hence, option B answers the question.
1. What is the measure of angle 4?
2. What is the measure of angle 1?
3. What is the measure of angles 3?
4. What is measure of angle 6?
5. What is the relationship between angles 4 and 5?
Answer:
bla bla bal bala bla bla bla bla hahahahhahahahhhehehhehehehheheh joke png
Which of the following is equivalent to 7a^4+3a^4
Answer:
Step-by-step explanation:
7a^4 + 3a^4 is 10a^4
Choose the slope and y-intercept that
correspond with the graph.
Simplify.
Look at the picture
Answer:
1397.970007
Step-by-step explanation:
Find the values of x and y by writing two equations and solving the system of equations.
Answer:
y=2 x=5
Step-by-step explanation:
3x-2y=11
2x-3y=4
you multiply both equations to cancel one variable out. in this case you multiply the first equation by 2 and the second by -3
6x-4y=22
+ -6x-9y=12
--------------------------
0x+5y=10
y=2
you plug that in either equation
3x-2(2)=11
3x-4=11
3x=15
x=5
Please help! It’s already late! Help asap!
Answer:
D
Step-by-step explanation:
Circle B has a radius of 7 and its center is located at (2,5).
Circle H has a radius of 13 and its center is located at (9,-4).
Circle B and circle H _______________ similar.
A. No answer text provided.
B. cannot be determined to be
C. are
D. are not
Answer:
C. Circle B and circle H are similar.
Step-by-step explanation:
From Euclidean Geometry we remember that all circles are similar to each other and from Analytical Geometry we know that all circles are characterized by two things: Center and radius. Both circles B and H are known for having a respective radius and center.
In consequence, we conclude that correct answer is C.
Suppose A and B are points on the number line. If AB = 8 and B lies at −7, where could A be located?
Select ALL that apply.
−1
1
15
−15
Answer:
The correct answers are: 1 and -15
Step-by-step explanation:
Let a be a point on number line and b be the second point on number line.
The distance between two numbers on number line is calculate by subtracting the smaller number from larger number.
Here
AB = 8
B = -7
We have to look at the options one by one.
For A = -1
As A>B
[tex]AB = B-A = -1-(-7) = -1+7 = 6[/tex]
For A = 1
As A>B so
[tex]AB = A-B = 1-(-7) = 1+7 = 8[/tex]
So with A = 1 , AB = 8
This is one of the right answers.
For A=15
As A>B
[tex]AB = A-B = 15-(-7) = 15+7 = 22\\[/tex]
For A=-15
As B>A
[tex]AB = B-A = -7-(-15) = -7+15 = 8[/tex]
As with A=1 and A=-15, the distance between AB is 8 so these are the correct answers.
Hence,
The correct answers are: 1 and -15
How do I solve 8x+5y=-20 ?
Answer: y=-8/5x-4
Step-by-step explanation:
8x+5y=-20
-8x -8x
5y=-8x-20
/5 /5
y=-8/5x-4
Helen is typing a report and is using two different sizes of fonts, as shown below. What is the ratio of the height of a letter typed using font I to the height of a letter typed using font II?
2/9
1/3
3
9
WILL RECIEVE BRAINLIST
Answer: 2/9
Step-by-step explanation:
Given: AD = BC and AD || BC
Prove: ABCD is a parallelogram.
Angles Segments Triangles Statements Reasons
ZBCA
DAC
A
Statements
Reasons
00
D
с
Assemble the proof by dragging tiles to
the Statements and Reasons columns.
Answer:
AD ≅ BC | Given
AD ║ BC | Given
AC ≅ AC | Reflexive Property
∠DAC ≅ ∠ACB | If 2 || lines are cut by a trans., the | alternate interior ∠s are congruent.
ΔADC ≅ ΔBCA | S.A.S Postulate
BA ≅ DC | Corresponding sides of congruent Δs
So, quad. ABCD is a ║gm | If a quad. has its opposite sides
| congruent, the quad. is a parallelogram.
Step-by-step explanation:
Step-by-step explanation:
Sorry I'm late I hope that helps:)