Answer:
-11
Step-by-step explanation:
Find an ordered pair (x, y) that is a solution to the equation.
5x + y=9
Answer:
Some points are: (1, 4), (0, 9), and (3, -6), just to name a few.
Step-by-step explanation:
We can find out an ordered pair for this equation by plotting the line 5x + y = 9 on a graph. If you graph 5x + y = 9, then we see that the point (1, 4) is a point that the line intersects. Let's substitute that values:
5(1) + 4 = 9
Order of operations, multiply first...
5(1) = 5
Then it becomes...
5 + 4 = 9
We can see that 5 plus 4 actually does equal 9, so the point (1, 4) works. Let's try a different point. We can see the point (0, 9) is another point that the line intersects. Same process for this point too.
5(0) + 9 = 9
Then...
5(0) = 0
0 + 9 = 9
We see that 0 plus 9 ALSO works, but let's try one more time. Another point that works is the point (3, -6) Again, same process.
5(3) + -6 = 9
That is equal to:
5(3) - 6 = 9
Simplify...
5(3) = 15
15 - 6 = 9
15 minus 6 works as well! Any point that the line intersects will be a solution for the equation. I hope this helps!
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Calculate the full perimeter of a semicircle with a diameter 8cm. Round to 1 decimal place.
Answer:
20.6
Step-by-step explanation:
20.5664 = 20.6
Answer:
20.6 cm
Step-by-step explanation:
First find the circumference of a semicircle with diameter 8 cm
C = 1/2 ( pi d)
C = 1/2 ( 3.14 * 8)
C = 12.56cm
Then add the diameter to close the circle
12.56+8 = 20.56 cm
Round to 1 decimal place
20.6 cm
Match the correct scenario with the correct unit rate format.
1. meters/second
2. $/pound
3. $/ tire
4. people/class
5. miles/gallons
6. calories/serving
At the carnival the ratio of rides to games was 9:8. For every ___games there are ___rides.
A.8 games, 17 rides
B.8 games, 9 rides
C.9 games, 17 rides
D.9 games, 8 rides
Answer:
The answer is B.8 games,9 rides
What is the value of the expression 5(X+3) when X=-3?
Answer:
0
Step-by-step explanation:
5(x+3) replace x with -3
5(-3+3)
5(0)
0
Which of the following statements correctly justifies the steps in the solution below?
Given
Step 1
Step 2
Step 3
Step 4
6(3x - 4) - 26 = 40
18x - 24 - 26 = 40
18x - 50 = 40
18x = 90
x = 5
O The Associative Property is used to create Step 1.
O The Distributive Property is used to create Step 3.
o The Division Property is used to create Step 4
o The Subtraction Property is used to create Step 2.
Answer:
The Division Property is used to create Step 4
Answer:b
Step-by-step explanation:
PLEASE HELP!!!!! Sometimes two transformations, one performed after the other, have a nice description as a single transformation. For example, instead of translating 2 units up followed by translating 3 units up, we could simply translate 5 units up. Instead of rotating 20 degrees counterclockwise around the origin followed by rotating 80 degrees clockwise around the origin, we could simply rotate 60 degrees clockwise around the origin. Can you find a simple description of reflecting across the x-axis followed by reflecting across the y-axis?
Answer: A rotation of 180° around the origin.
Step-by-step explanation:
When we have a point (x, y) and we want to reflect it over a given line, the distance between the point and the line remains invariant under the transformation.
This is equivalent as a rotation around a point, the "radius" of the circle that we are creating when we do a rotation is constant.
Now, let's analyze our case:
First a reflection over x-axis, and then a reflection over the y-axis.
This means that if our point starts in quadrant 1 then:
-The reflection over the x-axis will leave our point in quadrant 4.
-The reflection over the y-axis will leave our point in quadrant 3.
Now, if our point stated on quadrant 2.
-The reflection over the x-axis will leave our point in quadrant 3.
-The reflection over the y-axis will leave our point in quadrant 4.
So essentially, these transformations "move" our point to the opposite quadrant, such that the rules of the reflection are applied.
This means that:
The distance between our point and the x-axis does not change.
The distance between our point and the y-axis does not change.
But if the distances to both axes do not change, then the distance between our point and the origin also does not change.
This means that we can find a rotation that is equivalent to this transformation.
So we must look at a rotation that moves our point 2 quadrants.
a rotation that moves our point 2 quadrants will be:
A rotation of 180° around the origin.
PLEASE HELP FAST!! WILL MARK AS BRAINLIEST IF GIVEN GOOD ANSWER
Answer:
80 degrees
Step-by-step explanation:
both intersections are the same, so we can count them as one. We notice that one line is a straight line compared to other so we can subtract 100 from 180 and get 80
Answer:
80
Step-by-step explanation:
Vertical angles equal 360 in total and the angles across from each other equal the same. 100 x 2 = 200
360-200 = 160
160/2 = 80
I hope this helps enjoy your day!
f(x) = 3x2 – 12x +1
find the vertex.
Answer:
(2,-11) is the vertex
Answer:
(2, -11)Step-by-step explanation:
[tex]f(x)=3x^2-12x+1\\\\f(x)=3(x^2-4x)+1\\\\f(x)=3(x^2-2\cdot x\cdot2+2^2-2^2)+1\\\\f(x)=3(\underline{x^2-4x+4}-4)+1\\\\f(x)=3[(x-2)^2-4]+1\\\\f(x)=3(x-2)^2-12+1\\\\f(x)=3(x-2)^2-11[/tex]
the vertex form of parabola's equation is: f(x) = a(x - h)² + k with vertex (h,k)
x-h = x-2 ⇒ h = 2
+k = -11 ⇒ k = 11
Tim dug a hole that was 16 1/2 inches deep. He left a pile of dirt next to the at was inches high. Show how you could use subtraction to find the e from the top of the pile of dirt to the bottom of the hole. 8 3/4 Tim dug a hole that hole that was distance from the
Answer: 2 inches
Step-by-step explanation:
14 inches
Step-by-step explanation:
Length of the hole = 16(½) inches
Length of the dirt = 8(¾)inches
The distance between the top of the pile to the bottom of the hole = ?
Since the dirt is beside the hole and not inside the hole, we can find it's length using addition.
Distance from the top to the bottom = length of dirt + length of the hole
Length of dirt = 8×¾ = 6 inches
Length of the hole = 16 × ½ = 8 inches
Distance from the top of the dirt to the bottom of the hole = (6 + 8) inches
Distance from the top of the dirt to the bottom of the hole = 14 inches
Note: the only way we can use subtraction here is if the hole was filled with dirt, what's the distance that's left
Distance left = length of hole - length of dirt
Distance left = 8 - 6 = 2 inches .
can you help my sister once again theres 12 questions and they are due today and i want her to pass it thanks
Answer:
50,000 in scientific notation is 5 x 10^4
Step-by-step explanation:
10^4 = 10,000 x 5 = 50,000
UPS charges $7 for the first pound, and $0.20 for each
additional pound. FedEx charges $5 for the first pound and
$0.30 for each additional pound. How many pounds, p, will it
take for UPS and FedEx to cost the same?
writing equations of lines
Step-by-step explanation:
Equation of straight line is y=mx+c
choose any two points on straight line
for me I choose:(-3,11) and (3,-1)
use these two points to find gradient,m.
m= (-1-11)/(3-(-3))
m= -2
now, y=-2x+c
choose any point on the straight line
I choose point (3,-1)
sub the point into the equation to find c
-1=-2(3)+c
c=5
equation: y=-2x+5
Solve for a: u = 3b - 2a + 2
If a=2 then you would have u=3b-2(2) or u=3b-4 :)
Answer:
Step-by-step explanation:
B= 2/3a-2//3+1/3u, u equals R, A equals r
A=3/2b+1-1/2u, u equals R b equals R
Which relationships have the same constant of proportionality between yyy and xxx as the equation y=\dfrac{1}{2}xy= 2 1 xy, equals, start fraction, 1, divided by, 2, end fraction, x? Choose 3 answers: Choose 3 answers:
Answer:
A & B
Step-by-step explanation:
See attachment for complete question
Given
[tex]y = \frac{1}{2}x[/tex]
Analyzing the given options
Option A:
[tex]6y = 3x[/tex]
Divide both sides by 6
[tex]\frac{6y}{6} = \frac{3x}{6}[/tex]
[tex]y = \frac{3x}{6}[/tex]
[tex]y = \frac{1}{2}x[/tex]
This is true for the given expression:
Option B:
From the graph:
x = 2, when y = 1
x = 4, when y = 2
Solving for the slope:
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m = \frac{2 -1}{4 - 2}[/tex]
[tex]m = \frac{1}{2}[/tex]
The equation is then calculated as:
[tex]y - y_1 = m(x - x_1)[/tex]
[tex]y - 1 = \frac{1}{2}(x - 2)[/tex]
[tex]y - 1 = \frac{1}{2}x - 1[/tex]
Add 1 to both sides
[tex]y - 1 +1 = \frac{1}{2}x - 1 + 1[/tex]
[tex]y = \frac{1}{2}x[/tex]
This is also true for the given expression.
Option C:
From the graph:
x = 2, when y = 4
x = 4, when y = 8
Solving for the slope:
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m = \frac{8 - 4}{4 - 2}[/tex]
[tex]m = \frac{4}{2}[/tex]
[tex]m =2[/tex]
The equation is then calculated as:
[tex]y - y_1 = m(x - x_1)[/tex]
[tex]y - 4 = 2(x - 2)[/tex]
[tex]y - 4 = 2x - 4[/tex]
Add 4 to both sides
[tex]y - 4 + 4= 2x - 4 + 4[/tex]
[tex]y = 2x[/tex]
This isn't true for the given expression.
Option (D):
From the table:
x = 2, when y = 1
x = 4 when y = 3
Solving for the slope:
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m = \frac{3 - 1}{4 - 2}[/tex]
[tex]m = \frac{2}{2}[/tex]
[tex]m = 1[/tex]
The equation is then calculated as:
[tex]y - y_1 = m(x - x_1)[/tex]
[tex]y - 1 = 1 * (x - 2)[/tex]
[tex]y - 1 = x - 2[/tex]
[tex]y = x - 2 +1[/tex]
[tex]y = x - 1[/tex]
This isn't true for the given expression.
Answer:
A,B, and E
Step-by-step explanation:
trust me.
If x= -2 what is the value of -5x + 8x/4 + 7
Answer:
13
Step-by-step explanation:
Hope This Helps!
Plz Mark Brainliest!
is this correct if not can u tell me what I need to fix please!
Answer:
yes it is
Step-by-step explanation:
Answer:It Is correct
Step-by-step explanation:
What is the quotient? −678÷(−334)
Answer:
2.03
Step-by-step explanation:
Explain the difference between (-5)2 and -52. Your answer:
Answer:
-5(2) is different from -52 because -5(2) equals -10.
Step-by-step explanation:
-5(x) implies that -5 is being multiplied by x. Any time 2 numbers (one in parenthesis) are next to each other without a symbol inbetween it implies multiplication
3xsquared +13x-10
HELPP PLEASE
Answer:
(x + 5)(3x - 2)
Step-by-step explanation:
Assuming you require the expression factorised.
3x² + 13x - 10
Consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term.
product = 3 × - 10 = - 30 and sum = + 13
The factors are + 15 and - 2
Use these factors to split the x- term
3x² + 15x - 2x - 10 ( factor the first/second and third/fourth terms )
= 3x(x + 5) - 2(x + 5) ← factor out (x + 5) from each term
= (x + 5)(3x - 2) ← in factored form
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Answer:
brainliest???
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Write the slope-intercept form of the equation of the line.
-4 - y = -2x
A) y = 4x + 2
C) y = 2x - 4
B) y = -4x + 2
D) y = -2x + 2
Answer:
c
Step-by-step explanation:
-4 -y = -2x
+4 +4
-y = -2x + 4
multiple everything by -1 to get y by itself
y = 2x - 4
-20/5= ???????
PLZ HELP
Answer:
-4
Step-by-step explanation:
Vision Source has a pair of glasses that are 20% more than the same pair of glasses at ABC Eye. If the glasses are $85 at ABC Eye, then how much more will you pay at Vision Source?
Answer:
the answer is $102
Step-by-step explanation:
because %20 is equal to $17
find the value of x that makes the lines parallel 3x-9 2x-1
Answer:
x=8
Step-by-step explanation:
set the equations equal to themselves and solve
3x-9=2x-1
+9 and -2x
x=8
Check:
3(8)-9=2(8)-1
24-9=16-1
15=15
5) What is the lowest form of ratio for 84:99
The lowest form of the ratio 84 : 99 is 28 : 33.
What are ratio and proportion?A ratio is a comparison between two similar quantities in simplest form.
Proportions are of two types one is the direct proportion in which if one quantity is increased by a constant k the other quantity will also be increased by the same constant k and vice versa.
In the case of inverse proportion if one quantity is increased by a constant k the quantity will decrease by the same constant k and vice versa.
Given, A ratio 84 : 99.
The lowest form of the ratio is when it can not be simplified further.
∴ 84 : 99.
= 28 : 33
learn more about proportion here :
https://brainly.com/question/7096655
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Which division problem does the model below show?
A. 4 divided by 1/6=24
B. 4 divided by 1/6=12
C. 24 divided by 1/6=4
D. 12 divided by 1/6= 4
Please help! Thank you!
Answer:
A
Step-by-step explanation:
Answer:I just had this question also it’s A, 4 divided by 1/6=24
Step-by-step explanation:
what’s is the answer to this ?
Answer:
162
Step-by-step explanation:
I think this is right because angle one is the same as angel two
18*2=36
360-36=324
324/2=162
Answer:
2= 162*
Step-by-step explanation:
magic
Mary and her family ordered a large pizza for dinner. Half of the pizza is plain and half of the pizza has pepperoni. Mary loves pepperoni so she ate 1/5 of the full pizza (all of which had pepperoni). How much of the remaining full pizza has pepperoni?
Answer:
3/10 of the renaming full pizza has pepperoni
Step-by-step explanation:
Here, we want to calculate how much of the remaining pizza had pepperoni.
From the question, 1/2 has pepperoni and 1/2 is plain without pepperoni
she eats 1/5 of the pizza having pepperoni, this means that she is actually left with some parts is the half having pepperoni
The actual of the half remaining with pepperoni will be 1/2 - 1/5 = 3/10
This means that 3/10 of the remaining full pizza has pepperoni