Answer:
7 units from (-3,2)(,2)and(,2)
Step-by-step explanation:
The purpose of this task is for students to solve a mathematical problem using points in the coordinate plane. This task also helps lay the foundation for understanding operations on signed numbers without formally introducing those notions, which are not expected until 7th grade (see 7.NS.1). Students will not have the full machinery needed to find distances between two arbitrary points in the plane until they have studied the Pythagorean Theorem in 8th grade. However, it is straightforward for them to find horizontal and vertical distances, which mirrors how one might represent sums and differences of signed numbers on a number line. The solution for the first part shows how these questions can be represented using absolute values (as described in standard 6.NS.C.8), although students are unlikely to make this connection without being asked to do so. If students are asked to solve this problem on their own first, it could be used to launch a discussion of the relationship between the the absolute value of coordinates of points in the plane and their distance to the respective axes.
Please note that students will have to assume that the points have integer coordinates, which is reasonable but worth mentioning.
Solution
The distance between points B and C is 5 units, as indicated below.
We can determine the distance between points B and C by counting the units between the two points since they are on the same vertical line which happens to be a grid line.
We can also note that the coordinates for B are (3,2) and so it is |2| units above the x-axis. Similarly, the coordinates for C are (3,−3), so it is |-3| units below the x-axis. Thus, the distance between B and C is
|2|+|−3|=5
units.
The distance between points D and B is 7 units, as indicated below.
The distance between points D and E is 4 units, as indicated below.
Point C is the only one of points A,…E that is both 4 units away from (−1,−3) and 2 units away from (3,−1). There is another point that satisfies these two criteria (which is the other intersection point of the circle of radius 4 and circle of radius 2 shown below), but it does not have integer coordinates and is not one of the points identified in the task
Rewrite (2x + 8) + 4 using the associative property. Then simplify.
Answer:
2x + 12
Step-by-step explanation:
Example of Associative Property Addition:
a + (b+c) = b + (a+c)
Now, implement it to the given expression:
(2x+8) + 4 = 2x + (8+4)
That simplifies to:
2x + 12
Answer:
(2x+12)
Step-by-step explanation:
We can re-write (2x+8)+4 using the associative property of addition. The associative property states that you can move around the parenthesis in an addition problem.
We can write (2x+8)+4 as 2x+(8+4).
2x+(8+4) = 2x+12.
I need help with this please!!
Answer:
8(3j -2)
4(6j -4)
Step-by-step explanation:
24j - 16
Rewriting
8*3*j - 8*2
Factor out the greatest common factor
8(3j -2)
We can also factor out 4
4*6j - 4*4
4(6j -4)
Answer:
A & C
Step-by-step explanation:
A) 8(3j-2)
= 24j-16
B) 6(4j-2j)
= 24j -12 j (not equal)
C) 4 (6j-4)
24j -16
D) 2(12-8)
24-16 (not equal)
Therefore only A and C are equivalent to 24j-16
Answered by Gauthmath
graph a line with the slope of -5 and the y intercept of 4
PLEZZ HELP!!!!!!!!!!!!!!!!
Answer:
Slope m = -5
y intercept = 4
so the equation of the line is,
y = -5x+4
Plot two points, (0,4) and (1,-1)
then connect them, I've attached a graph, your graph should look like that
Answered by GAUTHMATH
Answer:
y=-5x+4
Step-by-step explanation:
y=mx+b
the slope is m
the y intercept is b
-5/1= one right and down 5
4 is the starting point on the y-axis (the vertical one)
Last week, Lamar had $983.45 in his checking account. Since then, he paid $214.67 for his car loan. He also donated $15 to the fire department. Then, Lamar deposited the $50 check his grandma sent him for his birthday. What is Lamar's balance now?
Answer:
803.78
Step-by-step explanation:
983.45-214.67=768.78
768.78-15=753.78
753.78+50=803.78
answer is 803.78
Answer:
$803.78
Step-by-step explanation:
You would subtract the car loan(214.67) from 983.45. then subtract another 15 since he is giving it away. You then add the $50 because you deposited it meaning you are getting money back into your acount.
Which equation is a direct variation function?
y = x²
y = 1/4x + 2
y = 4
y = x
y=X equation is a direct variation function.
You used 6 3/4 cups of sugar while baking muffins and nut bread for a class party. You used a total of 1 1/2 cups of sugar for the muffins. Your nutbread recipe calls for 1 3/4 cups of sugar per loaf. How many loaves of nutbread did you make?
Answer:
Step-by-step explanation:
1. Convert to decimals.
[tex]6\frac{3}{4}[/tex] = 6.75 cups of sugar - Total Sugar
[tex]1\frac{1}{2}[/tex] = 1.50 cups of sugar - Muffin Sugar
[tex]1\frac{3}{4}[/tex] = 1.75 cups of sugar - Nutbread sugar
2. Subtract muffin sugar from total sugar
6.75 cups total sugar - 1.50 cups fir muffins = 5.25 cups remaining
3. Divide remaining sugar by amount used per loaf nutbread
5.25 cups sugar / 1.75 cups for each loaf nutbread = 3
3 Loaves of nutbread were made.
A waitress earned $73 for 6 hours of work. The total included $46 in tips. What was her hourly wage?
Answer: $4.5/hour
Step-by-step explanation:
Total earned in 6 hours subtracted tips equals wage over 6 hours.
Divide by 6 hours to find individual hourly wage.
Answer: $4.50 per hour
Step-by-step explanation:
First, find how much she earned, excluding the tips.
73-46= 27
She earned $27 in the 6 hours, without tips
To find her hourly wage, you divide 27 by six because, since she worked 6 hours to earn $27, we need to find the unit rate.
27/6 = 4 dollars 50 cents.
Meg plotted the graph below to show the relationship between the temperature of her city and the number of people at a swimming pool:
Part A: In your own words, describe the relationship between the temperature of the city and the number of people at the swimming pool. (5 points)
Part B: Describe how you can make the line of best fit. Write the approximate slope and y-intercept of the line of best fit. Show your work, including the points that you use to calculate slope and y-intercept. (5 points)
Answer:
Generally, the higher the temperature, the larger the population.
Step-by-step explanation:
The line goes from left to right, and from down to up, so we can see that the temperature affects the population at the pool.
I a local store, almonds are sold at a rate of $15 per kg. Write an equation to represent the relationship between the cost, C, in dollars, and the mass, m, in kg
Answer:
C = 15m
Step-by-step explanation:
Since the almonds are $15 per kg, the cost can be represented by 15m, where m is the number of kg.
To create the equation, set this equal to C, the cost in dollars:
C = 15m
So, the equation is C = 15m
Here is an equation to represent the relationship between the cost, C, in dollars, and the mass, m, in kg of almonds sold at a rate of $15 per kg at a local store: C = 15m
The mass of the almonds closely relates to how much they cost. This implies that the price of almonds will rise along with the mass of the nuts. Since the proportionality constant is $15, the price will be $15 for every kilogram of almonds.
Let's use an illustration to try to comprehend this. A 2 kg purchase of almonds will cost $30. Since 2 x 15 = 30, this is the case.
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A cylinder has a radius of 14 inches and a height of 10 inches. A rectangular prism has
square bases with side lengths of 8 inches. The two figures have the same surface
area. What is the approximate height of the rectangular prism?
Answer:
61.973
Step-by-step explanation:
let the unknow side be x
surf of prism = 2*(8*8+8x+8x) = 2*(64+16x) = 128+ 32x
again, surface of cylinder = 2pi*r*(r+h) = 2 * pi * 14 * (14+10) = 672pi
now solve for x, when
128+32x = 672pi
Please help me! I will give brainly
A picture shows the Washington Monument. The text below the picture reads, “The Washington Monument is made out of marble and has an aluminum pyramid at the top”. The height of the monument is labeled 554 and 3 fourths feet. The height at which the construction work halted is labeled 152 feet.
Answer:
456ft
Step-by-step explanation:
Answer:
402.75
Step-by-step explanation:
554.75-152 = 402.75
Is it illegal in california to eat raw oranges in bathroom?
Answer:
nah it's illegal in cali to eat raw oranges in the bathtub, but im not sure if that's a real law
so i guess if ur on the toilet or smth you can eat it...but like why would you? like in the bathroom?
Answer:
No, it's not.
Step-by-step explanation:
It's not even a real law. People used to think that the citric acid coming from the orange would mix with bath oils and create an explosion. As it turns out, citric acid, obviously, does not cause any explosions when mixed with bath oils. It's just gossip.
please help me find what equals to x
Please answer this question with any of the 4 choices i have been struggling with this
Answer:
Choice A. [tex]\frac{2}{3}[/tex]
Step-by-step explanation:
Turn the mixed numbers into improper fractions:
[tex]\frac{14}{9} /\frac{7}{3}[/tex]Flip the second term and multiply:
[tex]\frac{14}{9} /\frac{3}{7}[/tex][tex]\frac{42}{63}[/tex]Simplify:
[tex]\frac{2}{3}[/tex]Answer:
A
Step-by-step explanation:
Please Help Will Give Points
Answer:
2
Step-by-step explanation:
Question 14 (1 point)
A local bakery called "Becky's Bakery" makes 100 batches of cookies in 8 hours. If they keep up this
pace, how many batches of cookies would they make in 12
hours
Answer:
150 = x
Step-by-step explanation:
We can use a ratio to solve
100 batches x batches
------------------- = ---------------------
8 hours 12 hours
Using cross products
100 * 12 = 8x
1200 = 8x
Divide by 8
1200/8 = 8x/8
150 = x
Answer:
150
Step-by-step explanation:
Find how many batches in one hour
100/8 = 12.5
Multiply 12 hours with 12.5 batches
12 x 12.5 = 150
So, in 12 hours 150 batches are made.
Which of the graphs shows the solution to the inequality?
p < –2
Answer:
Graph C
Step-by-step explanation:
Integrate the following. ∫[tex]5x^{4} dx[/tex]
Option A: [tex]x^{5}[/tex]
Option B: [tex]5x^{5} +C[/tex]
Option C:[tex]5x^{5}[/tex]
Option D: [tex]x^{5} + C[/tex]
Answer:
[tex] \displaystyle D) {x}^{5} + \rm C[/tex]
Step-by-step explanation:
we would like to integrate the following Integral:
[tex] \displaystyle \int 5 {x}^{4} \, dx [/tex]
well, to get the constant we can consider the following Integration rule:
[tex] \displaystyle \int c{x} ^{n} \, dx = c\int {x}^{n} \, dx[/tex]
therefore,
[tex] \displaystyle 5\int {x}^{4} \, dx [/tex]
recall exponent integration rule:
[tex] \displaystyle \int {x} ^{n} \, dx = \frac{ {x}^{n + 1} }{n + 1} [/tex]
so let,
[tex]n = 4[/tex]Thus integrate:
[tex] \displaystyle = 5\left( \frac{ {x}^{4+ 1} }{4 + 1} \right)[/tex]
simplify addition:
[tex] \displaystyle = 5\left( \frac{ {x}^{5} }{5} \right)[/tex]
reduce fraction:
[tex] \displaystyle = {x}^{5} [/tex]
finally we of course have to add the constant of integration:
[tex] \displaystyle \boxed{ {x}^{5} + \rm C}[/tex]
hence,
our answer is D)
1. Rút gọn biểu thức A(x) = (x+2)(x+3)(x+5) - (x-1)(x+4)(x+7). Từ đó tìm tất cả các giá trị x sao cho A(x) = 0.
x = -29/7
Step-by-step explanation:
A(x) = (x^2 + 5x + 6)(x + 5) - (x^2 + 3x - 4)(x + 7)
= (x^3 + 10x^2 + 31x + 30) - (x^3 + 10x^2 + 17x - 28) = 14x + 58
A(x) = 0 => 14x + 58 =0 => x = -58/14 = -29/7
Answer:
778744
Step-by-step explanation:
387t98878989890
please hlep me its ixl
Answer:
D
Step-by-step explanation:
D is the answer I did the math.
Hope this helps!
Answer:
d
Step-by-step explanation:
Click on pictures for question and graph
What does point H represent?
Answer:
C
Step-by-step explanation:
can anyone please help me?
Answer:
x = 1.4 or -1.4
Step-by-step explanation:
→ Substitute y = 4 into y = x² + 2
4 = x² + 2
→ Minus 2 from both sides
2 = x²
→ Square root both sides
√2 = x
→ Simplify
x = 1.4 or -1.4
20 POINTS!!
A. Make an organized list to represent the sample space of tossing a coin and picking a number between 1 and 5, inclusive. [Hint: Inclusive means that 1 and 5 may be picked.]
B. In your list from A, which are favorable outcomes of the following event: choosing an odd number?
Answer:
A. 3 (1,2,3,4,5) B 60%
Step-by-step explanation:
Answer:
a) {1H,2H,3H,4H,5H,1T,2T,3T,4T,5T} b) 1H,3H,5H,1T,3T,5T
Step-by-step explanation:
a)
sample space is basically all possible outcomes in a list so {1H,2H,3H,4H,5H,1T,2T,3T,4T,5T}
b)
favorable outcomes of choosing an odd number are the outcomes with odd numbers so 1H,3H,5H,1T,3T,5T
The graphs of functions f(x) and g(x) = f(x) + k are shown below
what is the value of k?
Answer:
k = 2
Step-by-step explanation:
f(x) and g(x) = f(x) + k
G(x) is the function f(x) moved up k units
G(x) is moved up 2 units so k is 2
Answer:
The answer is k = 2. The value of k is 2.
Step-by-step explanation:
I hope this answers your question :) Have a great day :)
A map is drawn to a scale of 1 : 240 000.
(i) If a seawater lake has an area of 3.8 cm² on the map, find its actual area in square kilometres.
(ii) If the actual area of a plot of land is 2 908 800 m², calculate its area on the map.
Step-by-step explanation:
Above are the explanations
A map is drawn on a scale of 1: 240 000.
(i) Actual area [tex]$=21.888 \mathrm{~km}^{2}$[/tex]
(ii) Area on the map = [tex]$0.505 \mathrm{~cm}^{2}$[/tex].
How to estimate the area on the map?(i) 1 cm: 240000 cm = 1 cm: 2.4km
Area scale [tex]$=1^{2} \mathrm{~cm}^{2}: 2.4^{2} \mathrm{~km}^{2}$[/tex]
[tex]$=1 \mathrm{cm}^{2}: 5.76 \mathrm{~km}^{2}$[/tex]
[tex]$1 \mathrm{~cm}^{2}: 5.76 \mathrm{~km}^{2}$[/tex]
[tex]$3.8 \mathrm{~cm}^{2}: 21.888 \mathrm{~km}^{2}$[/tex]
Actual area [tex]$=21.888 \mathrm{~km}^{2}$[/tex]
[tex]$=21.9 \mathrm{~km}^{2}[/tex]
(ii) 1 cm: 240000 cm = 1 cm: 2400 m
Area scale [tex]$=1^{2} \mathrm{~cm}^{2}: 2400^{2} \mathrm{~m}^{2}$[/tex]
[tex]$=1 \mathrm{~cm}^{2}: 5760000 \mathrm{~m}^{2}$[/tex]
[tex]$1cm}^{2}: 5760000 \mathrm{~m}^{2}$[/tex]
[tex]$0.505 \mathrm{~cm}^{2} ; 2108800 \mathrm{~m}^{2}$[/tex]
The area on the map = [tex]$0.505 \mathrm{~cm}^{2}$[/tex].
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I’ll mark brainliest HELP
Which answer choice correctly complete the sentence? The Problem Solving Plan is a method to A. show all your work in math. B. give an example of a real-life problem. C. make solving a word problem easier. D. check to see if your answer is reasonable.
Answer:
c
Step-by-step explanation:
I really need help with this question please!
Answer:
y = -2x+7
Step-by-step explanation:
The slope intercept form of an equation is
y = mx+b where m is the slope and b is the y intercept
y = -2x +b
Substitute the point into the equation and solve for b
5 = -2(1)+b
5 = -2+b
Add 2 to each side
5+2 = -2+b+2
7=b
y = -2x+7
Please help me with this question. will give brainliest I need this by today pleaseeeeeee its an assignment
Answer:
i would say 7
Step-by-step explanation:
What is the formula for finding the volume of a cube?
2x*x
E^3
2*x=3x(3+4)
[tex]\sf \: The \: formula \: for \: finding \: the \: volume \: of \: a \: cube \: is \hookrightarrow \boxed{ \underline{ \bf{E}^{3} }} \\ \\ \sf \: The \: volume \: of \: the \: cube \: can \: be \: found \: by \: \\ \sf \: multiplying \: the \: edge \: length \: three \: times. \: For \: instance, \: \\ \sf \: if \: the \: length \: of \: an \: edge \: of \: a \: cube \: is \: \bf \: 4, \: \sf t he \: volume \\ \sf \: will \: be \longrightarrow \bf{4}^{3}. [/tex]
