Noah walks to school from home by going 7 blocks north, to a post office, and then 24 blocks east. Noah's home, point H, is at (0,0); the post office, point P, is at (0,7); and the school, point S, is at (24,7). If Noah then walks home using the direct path, what would be the total distance Noah traveled to school and back home?
Answer:
25
Step-by-step explanation:
The total distance Noah traveled to school and back home will be Noah's displacement. Displacement of Noah can be gotten using Pythagoras theorem.
d² = y²+x²
Direction through north (along y-axis)
Direction through east (along x-axis)
Given
y = 7units
x = 24units
Substitute
d² = 24²+7²
d² = 576+49
d² = 625
d = √625
d = 25 units
Hence the total distance Noah traveled to school and back home is 25blocks from post office
FIRST CORRECT ANSWER GETS BRAINLIEST!
Kate is planning a trip to the beach. She estimates her average speed to graph her expected progress on the trip. Write an equation in slope-intercept form that represents the situation.
slope (m):
y-intercept (b):
equation:
Answer:
Slope = -60 miles per hour
y-intercept = 300 mi.
Equation of the line → y = -60x + 300
Step-by-step explanation:
Let the equation representing relation between the distance to beach and time taken is,
y = mx + b
Where, m = slope of the line = Average speed of Kate
y = Distance to the beach
x = time taken
b = Distance from the beach at t = 0
Slope of a line joining points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by,
m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
Slope the line joining (5, 0) and (0, 300),
Slope 'm' = [tex]\frac{300-0}{0-5}[/tex] = -60 miles per hour
y intercept 'b' = 300 mi.
So the equation will be,
y = -60x + 300
Expand & simplify 4(t+2)+6(t-4)
Answer:
10t - 16
Step-by-step explanation:
4(t + 2)+ 6(t - 4)
4t + 8 + 6t -24
10t - 16
Find the slopes of the linear functions.
On a coordinate plane, a line goes through points (0, 6) and (6, 0). Y = negative 2 x + 7.
The slope of the line given by the linear equation is .
The slope of the line shown in the graph is .
Answer:
The slope of the line given by the linear equation is
✔ -2
.
The slope of the line shown in the graph is
✔ -1
.
Step-by-step explanation:
thank you to the person above me !
The slope of the equation is -2 and -1.
What is slope of line?The slope of a line is a measure of its steepness.
Given:
equation of line is
y= -2x +7
So, the slope of the line given by the linear equation is -2
and, (0, 6) and (6, 0)
m= 0-6/ 6-0
m= -6/6
m= -1
So, the slope of the line shown in the graph is -1.
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A rectangular box has dimensions 4 in by 5 in by 5 in. Increasing each dimension of the box by the same amount ylelds a new box with volume five times the
old
Answer:
20
Step-by-step explanation:
is the answer ok srry if wrong
8.5x -2(2x +8) = 11
what is the answer
2(x + 3) = 18
please i need a valid answer I'm in 6th-grade pre-ap so this is seventh-grade math.
Answer:
6
Step-by-step explanation:
2(x+3)=18
2x+6=18
2x=12
x=6
Answer:
x = 6
Step-by-step explanation:
2(x + 3) = 18
2x + 6 = 18
2x = 12
x = 6
Dianne drew a triangle with coordinates (1,3), (3,2) and (4,2) she drew an image of the triangle with coordinates (21,3) ,(23,2) and (24,2) how did she make the image
Answer:
i
Step-by-step explanation:
dk
Becky created a number pattern. Her pattern began with 5, and the rule was “add 5.” Dion also created a number pattern. His pattern began with 10, and the rule was “add 10.”
Which statement is true?
a. Each term in Becky’s pattern is 5 more than the corresponding term in Dion’s pattern.
b. Each term in Dion’s pattern is 5 more than the corresponding term in Becky’s pattern.
c .Each term in Becky’s pattern is 2 times as many as the corresponding term in Dion’s pattern.
d .Each term in Dion’s pattern is 2 times as many as the corresponding term in Becky’s pattern.
Answer:
D
Step-by-step explanation:
Will give BRAINLIEST if it’s correct pls explain why rol
Answer:
think of the pie as 100, each slice is worth 20 so she served 20% of the pie.
Step-by-step explanation:
does 3(6x - 2) - 7 = 18x - 13?
Answer:
yes
Step-by-step explanation:
distribute 3(6x-2) to get 18x-6-7= 18x-13
combine -6 and -7 to get 18x - 13 = 18x - 13
hope this helps :))
Which of these lines would be the steepest?
1 point
y = 2x + 9
y = 7x + 3
y = 5x - 3
y = 7
Answer:
The equation is y=mx+b in this case the b represents the y int and does not aid in detemining steepness. To determine the steepest, the value of m (or the slope) rise/run must be either the most positive number or the most positive negative. in this case you have 2/1 , 7/1. 5/1.
So y==7x+3 has the steepest (greatest value) slope
Step-by-step explanation:
The equation has the greatest slope which is 7, hence the equation of the line y = 7x + 3 is the steepest
The formula for finding the equation of a line is expressed as y = mx + b
m is the slope of the line
b is the y-intercept
The line that will be the steepest must have the largest slope.
Looking at the equation y = 7x +3
Get the slope by comparing to have;
mx = 7x
m = 7
Since the equation has the greatest slope which is 7, hence the equation of the line y = 7x + 3 is the steepest
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Can someone please help me
Answer:
I believe it's 180 I'm pretty sure
Answer:
180 degrees
Step-by-step explanation:
If you rotate it 180 degrees to the right or left it will look exactly the same.
Choose four values to substitute in for x in the function below and then graph the function. The first row is done for you. ( Just need help with the Table )
Answer:
Answers to complete the table are 0, 3, 6, 9.....and (2,0)(3,3)(4,6)(5,9)
Step-by-step explanation:
-6+3(2)=0
-6+3(3)=3
-6+3(4)=6
-6+3(5)=9
hope this helps
A puppy weighs 3 pounds what is the puppy's weight in ounces
Answer:
48 onces
Step-by-step explanation:
Answer:
48 ounces.
Step-by-step explanation:
A fruit stand has 200 apples. They order 19 bags with 12 apple each. They sell 42 bags that have 8 apples each. The owner says they now have about 120 apples. Is the owner's estimate reasonable? The owner's answer is reasonable. They ordered about 320 apples and sold about 240 so they should have about 80 fewer apples than they started with. The owner's estimate is not reasonable. They ordered about 320 apples and sold about 240 so they should have about 80 more apples than they started with. The owner's estimate is reasonable. They ordered about 240 apples and sold about 320 so they should have about 80 fewer apples than they started with. The owner's estimate is not reasonable. They ordered about 240 apples and sold about 240 so they should have about the same number of apples as they started with.
Answer:
The owner's estimate is reasonable. They ordered about 240 apples and sold about 320 so they should have about 80 fewer apples than they started with.
Step-by-step explanation:
Given that:
Number of apples already available with Owner = 200
Number of bags of apples ordered with 12 apples each = 19
Number of apples ordered = 12 [tex]\times[/tex] 19 = 228
OR
Rounding off 19 to 20:
Number of apples ordered = 12 [tex]\times[/tex] 20 = 240
Around 240 apples were ordered.
Number of bags of apples with 8 apples each, sold = 42
Number of apples sold = 42 [tex]\times[/tex] 8 = 336
Rounding off 42 to 40, number of apples sold = around 320
Therefore, 80 more apples were sold than that of apples bought.
So, according to the estimate, there will be 80 fewer apples left than they started with.
Correct answer is:
The owner's estimate is reasonable. They ordered about 240 apples and sold about 320 so they should have about 80 fewer apples than they started with
Solve for x,
3x+5=14
Answer:
x = 3
Step-by-step explanation:
First, isolate the variable by subtracting 5 on both sides:
3x=9
Then, divide both sides by 3:
x = 3
What is the slope of a line perpendicular to the line whose equation is
12x – 2y = 24. Fully reduce your answer.
Step-by-step explanation:
The angle between the slope of the line parallel to the line whose equation is
[tex]12x-2y=24[/tex] is [tex]-1/6[/tex]
The slope intercept form is represented as follows;
[tex]y = mx + b[/tex]
where
m = slope
b = y-intercept
For a line perpendicular to another line the product of there slope is negative 1. Therefore,
m₁m₂ = -1
m₁ 1/6 = -1
m₁ = - 1/ 5
The line's angle of slope is 6
Additionally, the slope product of two lines that are perpendicular to one another is -1.
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Evaluate:
(-4) (-3)
Another easy 10 points for yall
Answer:
12
Step-by-step explanation:
tysm ily
(-4)(-3)
= 12
Easy lol
a) (i) Write down the value of angle x.
71° z
X=
(ii) Give a reason for your answer.
b) (i) Write down the value of angle y.
y =
(ii) Give a reason for your answer.
y
х
65°
c) Work out the size of angle z.
o
Z=
Step-by-step explanation:
hope this helps you!! :))
The value of angle [tex]x[/tex] is [tex]65^0[/tex], of angle [tex]y[/tex] is [tex]71^0[/tex] and of angle [tex]z[/tex] is [tex]44^0[/tex].
What is angle ?Angle is the space between two lines or surfaces that meet, and is measured in degrees.
So,
According to the question;
[tex]\angle x =65^0[/tex]
([tex]\angle x[/tex] is vertically opposite of the given angle [tex]65^0[/tex])
[tex]\angle y = 71^0[/tex]
(Because when a transversal line intersects two parallel lines then each pair of alternate interior angles is equal.)
We know that,
Sum of all angles of triangle is equals to [tex]180^0[/tex].
i.e.
[tex]x+y+z=180^0[/tex]
we have,
[tex]65+71+z=180[/tex]
[tex]z=180-136[/tex]
[tex]z=44^0[/tex]
So, the value of [tex]z[/tex] is [tex]44^0[/tex].
Hence, we can say that the value of angle [tex]x[/tex] is [tex]65^0[/tex], of angle [tex]y[/tex] is [tex]71^0[/tex] and of angle [tex]z[/tex] is [tex]44^0[/tex].
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Hans is using frequent flier miles to fly to a location 450 miles away, but the airline he is using still charges $15.89 for fees and taxes and $0.17 to redeem each mile. In the equation below, x represents the distance Hans is flying, and y represents the cost of the trip. Y = $0.17x + $15.89
Complete question :
Hans is using frequent flier miles to fly to a location 450 miles away, but the airline he is using still charges $15.89 for fees and taxes and $0.17 to redeem each mile. In the equation below, x represents the distance Hans is flying, and y represents the cost of the trip. Y = $0.17x + $15.89. How much did Hans pay for his trip?
Answer:
$92.39
Step-by-step explanation:
Given that:
Total distance = 450 miles
Amount charged for fees and taxes = $15.89
Amount charged ti redeem each mile = $0.17
In the equation:
Y = $0.17x + $15.89
X = distance Hans is flying
Y = cost of trip
Y = $0.17(450) + $15.89
Y = $76.50 + $15.89
Y = $92.39
Please help me out with this!! No joke answers!
Answer:
13 protons
14 neutrons
13 electrons
Step-by-step explanation:
protons and electrons are mostly always the same
Answer:
Number of Protons 13
Number of Neutrons 14
Number of Electrons 13
What expressions are equivalent to 10^-5x10^2
See attachment for math work and answer.
3. A sari is sold for $60 thereby making a profit of 20% on the cost
price. What was the cost price?
Answer:
The cost price was $48
Step-by-step explanation:
60-20%=48
hope it helps :)
Answer:
50
Step-by-step explanation:
60-x*100=20
6000-100x=20x
6000=20x+100x
6000= 120x
x= 6000/120
x= 50
-1/10 divided by 1/6
[tex]-0.6[/tex]
For more help, Take a look at this chart.
Answer:
-3/5
Step-by-step explanation:
-1/10 divided by 1/6
-1/10 x 6/1
-6/10 the divided by 2
-3/5
What’s the volume to this shape?
Answer:
30x^6
Step-by-step explanation:
5×2×3=30
x+x+x+x+x+x=6x
Indices gets added when they are multiplied
Answer:
[tex]540x^{3}[/tex]
Step-by-step explanation:
First, we need to simplify all over the cubes and squares.
2x^2 = 4x
3x^3 = 27x
5x=5x
Then , we need to multiply them together.
27x*4x= 108x
108x*5x = 540x
Now, we have our answer
help solve 90 please
Answer:
c=263
Step-by-step explanation:
is this a function or not pt.3
Answer:
Yes, it is a function.
Step-by-step explanation:
We can determine a relation is a function when the domain is assigned each to one range number. All the domain values are different and all the range values are different which proves that definition. Thus, makes it a function.
Best of Luck!
The functions below represent the amounts of water released from two reservoirs over x weeks: Reservoir A f(x) = x2 – 7x + 5 Reservoir B g(x) = 3x2 – 6x + 2 The function h(x) = f(x) – g(x) represents the difference in the amounts of water released. Determine which statements about h(x) and about the reservoirs are true. Check all that apply.
Answer:
Step-by-step explanation:
Find the option below:
h(x) = –2x2 – 13x + 6
h(x) = –2x2 – x + 3
Reservoir A releases less water than Reservoir B over 1 week.
Reservoir A releases the same amount of water as Reservoir B over 1 week.
Reservoir A releases more water than Reservoir B over 1 week.
Given the expressions
Reservoir A f(x) = x^2 – 7x + 5
Reservoir B g(x) = 3x^2 – 6x+2
We are to find the f=difference between the functions h(x) = f(x)-g(x)
Substitute
h(x) = x^2 – 7x + 5 -(3x^2 – 6x+2)
h(x) = x^2 – 7x + 5 -3x^2 +6x-2
collect like terms
h(x) = x^2 -3x^2 +6x– 7x+ 5-2
h(x)= -2x^2-x+3
Next is to know the amount of water released by Reservoir A after 1 week. To do that we will substitute x = 1 into h(x)
h(x)= -2x^2-x+3
h(1)= -2(1)^2-1+3
h(1)= -2-1+3
h(x)= -3+3
h(x)= 0
This shows that Reservoir A releases the same amount of water as Reservoir B over 1 week
Answer:
a,c,b
Step-by-step explanation:
i took the test
Lexi runs the snack stand at Belleview Community Pool. This morning, she withdrew $150 from the stand's bank account to buy supplies. When the stand closed this evening, she deposited $437 from the day's sales. What was the total change in the stand's bank account relative to where it started?
Answer:
Step-by-step explanation:
Let the initial money in the account be y.
Lexi withdrew $150 from the stand's bank account to buy supplies. This will be:
= y - $150
Later, she deposited $437 from the day's sales. The money in the account will now be:
= y - $150 + $437
= y + $287
The total change in the stand's bank account relative to where it started will be the initial amount + $287.
Answer:
287
Step-by-step explanation: