Write an equation of the line in standard form with integer coefficients. the line through (-2, 2), (1, -4). O A. y+2x=-2 B. y+2x=6 C. 2y+x=2 D. 2y+x=-6
Answer:
A
Step-by-step explanation:
K=(y1-y2)/(x1-x2)=(2+4)/(-2-1)=-2
y=-2x+b
2=-2*-2+b
b=-2
y=-2x-2
y+2x=-2
The equation of the line in standard form with integer coefficients is → y + 2x = - 2.
What is the general equation of straight line?The general equation of straight line is -
y = mx + c
where 'm' represents the slope of the line and 'c' is the y - intercept.
Given is a line that passes through the points -
(-2, 2), (1, -4)
We can calculate the slope of the line using the two coordinates given -
(-2, 2), (1, -4). The slope will be -
m = (- 4 - 2)/(1 + 2)
m = -6/3
m = - 2
Assume that the equation of line is -
y = -2x + c
The line passes through the point (-2, 2), so we can write -
2 = -2 x -2 + c
2 = 4 + c
c = -2
So, we can write the equation of line as -
y = - 2x - 2
or
y + 2x = - 2
Therefore, the equation of the line in standard form with integer coefficients is → y + 2x = - 2.
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Put the following equation of a line into slope-intercept form, simplifying all
fractions.
2x - 2y = -10
Answer:
y=x+5
Step-by-step explanation:
Hope this helps! ; D
sam walks from home to his school which is 0.75 miles away in 12 minutes. how fast was he walking?
Answer:
3.75mph, or 0.0625 miles a minute
Step-by-step explanation:
12 times 5 is 60
.75 times 5 is 3.75
so he was walking mathematically 3.75 miles per hour
Answer:
3.75 mph
Step-by-step explanation:
12 minutes is 0.2 hours
0.75/0.2 = 3.75 mph
Donna is a pacer in a marathon. She finishes 26.2 miles in 3 hours 45 minutes (3.75 hours) while running at a constant speed. What is Donna’s speed in miles per hour to the nearest whole number?
Answer:
you need to multiply 6 by 3 for how many miles she went and then divide the leftover total by two (For the last two hours) to realize she needs to run 4.1 mph.
Step-by-step explanation:
Evaluate the function for f(-9 if (x) = 3/5 x + 8
Answer:
f(-9)= 2.6
Step-by-step explanation:
3/5*-9= -5.4
-5.4+8= 2.6
Answer:
Substitute the value of the variable into the function and simplify.
-9f
Step-by-step explanation:
Here is the second one thanks for the help!
Answer:
Your answer would be 329.1 ft.
Step-by-step explanation:
If he wants equal distance when he takes his 3 breaks up a mountain that is 987.3 feet tall, 329.1 multiplied by 3 equals 987.3
Is the change in Vivians elevation from The bottom of the ferris wheel to the top a positive number or negative number? Why?
Answer:
Step-by-step explanation: The change in Vivian’s elevation is a positive number because her elevation increased as she moved from the bottom back to the top.
What is the value of x?
93
87 78
72
Answer:
72°
Explanation:
Given that line J and line K are parallel, we can safely assume that line m is the transversal for the following question. We can also remove line l so that we can focus on line m instead.
Using the rule of Alternate Exterior Angle theorem, x would equal to 72°.
Answer: 72
Now that we are told that J and K are parallel, we know that there can be a transversal line (m). You can see that m goes 72 degrees.
So, the answer is 72. Best of Regards!
Four pounds of almonds cost $30, 7 pounds of almonds cost $52.50, and 12 pounds of almonds cost $90. Which equation gives the total cost y of x pounds of almonds?
Answer:
y=7.5x
Step-by-step explanation:
Credit card sales (discount 3%) $ 8,600 Sales on account (3/15, n/60) $ 10,400 Sales returns related to sales on account were $500. All returns were made before payment. One-half of the remaining sales on account were paid within the discount period. The company treats all discounts and returns as contra-revenues. What amount will be reported on the income statement as net sales?
Answer:
$18192.50
Step-by-step explanation:
From the information given;
The amount that will be reported on the income statement as net sales can be computed as follows:
Particulars Amount ($)
Sales revenue $(8600 + 10400) $19000
Less: Credit card discounts
( contra - revenue) $(8600 × 3%) 258
Sales discounts
( contra - revenue)
[(10400 - 500)× 1/2 × 0.01 ] 49.50
Sales return and allowances
( contra - revenue ) 500
The net sale
(reported on the income statement) = $18192.50
I neeeeeed the answer ASP PLZZZZZZZ
Gerardo’s texting plan cost $20 per month, +0.05 per text message that is sent or received. Amelia’s plan cost $10 per month and $0.25 per text. Using the graph below, which statement is true?
Step-by-step explanation:
Let's turn that into a linear system:
\{ {{y=0.05x+20} \atop {y=0.25x+10}} .{y=0.25x+10y=0.05x+20.
Set the equations equal to each other and solve:
0.05x+20=0.25x+100.05x+20=0.25x+10
0.2x=100.2x=10
x=50x=50
We then plug in to get yy :
0.25(50)+10=22.50.25(50)+10=22.5
The solution to the system is \{ {{x=50} \atop {y=22.5}} .{y=22.5x=50. .
Now, let's turn our attention to the statements.
The first one is false: Emilia's rate is higher, and the two plans cost the same at 50 texts, after which point Hiroto's plan becomes cheaper!
The second one is also false: we already figured out that the lines intersect at x=50x=50 .
The third statement is also false: as above, the lines intersect at x=50x=50 .
The fourth statement is true: the lines intersect at x=50x=50 .
In conclusion, the fourth statement - "Both plans cost the same when 50 texts are sent" - is true.
Cred to ultroid
how many miles are in 234,230 feet ?
Answer:
in 234,230 feet there are 44.36 miles
Identify the x and y intercepts 10x+4y=20
Answer:
x-intercept(s): (2,0)
y-intercept(s): (0,5)
Step-by-step explanation:
To find the x-intercept, substitute in 0 for y and solve for x. To find the y-intercept, substitute in 0 for x and solve for y
Here's the graph:
If an angle is half of its complement, then the measure of the LARGER angle will be
Answer:
60°
Step-by-step explanation:
Complementary angles sum 90°
a + b = 90° Eq. 1
b = a/2 Eq. 2
Replacing Eq. 2 in the Eq. 1
a + a/2 = 90
2a/2 + a/2 = 90
3a/2 = 90
a = 90*2/3
a = 60
from the Eq. 2
b = 60/2
b = 30
Check:
from the Eq. 1
60 + 30 = 90
Answer:
60>30
Then
The larger angle is:
60°
Nuts.com sells raw almonds for $8 per pound and roasted pistachios for $9 per pound. Christopher spends $162, before taxes and shipping, to purchase 19 total pounds of nuts. How many pounds of pistachios did Christopher purchase?
Answer:
The pounds of roasted pistachios nuts Christopher purchases is 10 pounds
Step-by-step explanation:
The given parameters are;
The price of raw almonds at Nuts.com = $8 per pound
The price of roasted pistachios at Nuts.com = $9 per pound
The amount Christopher spends on Nuts = $162
The quantity of nuts Christopher purchase = 19 pounds
Let the pounds of raw almonds nuts Christopher purchases = X and the pounds of roasted pistachios nuts Christopher purchases = Y
∴ $8·X + $9·Y = $162...(1)
X + Y = 19...(2)
Making X the subject of the formula in equation (2), we have;
X = 19 - Y
Substituting the value X in equation (1) gives;
$8·(19 - Y) + $9·Y = $162
$152 - $8·Y + $9·Y = $162
$1·Y = $162 - $152 = $10
Y = $10/($1) = 10
Y = 10 pounds
The pounds of roasted pistachios nuts Christopher purchased = Y = 10
The pounds of roasted pistachios nuts Christopher purchases = 10 pounds
X = 19 - Y = 19 - 10 = 9
X = 9 pounds
The pounds of raw almonds nuts Christopher purchases = X = 9
The pounds of raw almonds nuts Christopher purchases = 9 pounds
Kevin runs 4 miles in 30 minutes. At the same rate, how many miles would he run in 48 minutes?
3x-(2x+4)
I need help
Answer:I think it is -18
Step-by-step explanation:sorry if I got it wrong
what is 0.345 in standard form
Answer:
Step-by-step explanation:
The ans is 345/1000
Answer: 3.45x10⁻1
Step-by-step explanation:
What number is 10 times greater than 0.03?
Answer:
0.3
Step-by-step explanation:
0.03×10= 0.3
Greater than would mean to multiply
The number is 10 times greater than 0.03 is 0.3 .
What does greater than means ?Greater than is used when a quantity or number is bigger or larger than the second or rest quantities or numbers.
According to the question
The number is 10 times greater than 0.03
i.e
As we need 10 times greater than 0.03
we will multiply 10 to 0.03
0.03 * 10 = 0.3
Hence, the number is 10 times greater than 0.03 is 0.3 .
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6x - 2 3x + 7 18. Identify the segment bisector of RS. Then find RS. (Section 1.3) M R S
Answer:
m is 7
Step-by-step explanation:
The length of RS is 32.
Given,
M is the bisector of RS
RM = 6x - 2
MS = 3x + 7
We need to find RS.
What does it mean to be a bisector point in a line?A bisector point in a line divides the line into two equal halves.
Example:
A_____B_____C
B = midpoint
AB = BC
AC = AB + BC
We have,
R_____M______S
RS = RM + MS
M = bisector
RM = MS
RM = 6x - 2
MS = 3x + 7
6x - 2 = 3x + 7
6x - 3x = 7 + 2
3x = 9
x = 9/3
x = 3
Now,
RS = RM + MS
RS = 6x - 2 + 3x + 7
RS = 9x + 5
RS = 9 x 3 + 5
RS = 27 + 5
RS = 32
Thus the length of RS is 32.
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Little Bear can eat all the honey in a jar in 10 minutes. If Papa Bear eats honey with him, they can eat all the honey in the jar in 6 minutes. How long would it take Papa Bear to eat the jar of honey alone?
Pls Help
Answer:
15
Step-by-step explanation:
little bear consumes 1/10 jar/min
in 6 minutes , little bear would consume 6 min * 1/10 jar/min = 6/10 jar = 0.6 jar
this means , that in those same 6 minutes papa bear needs to have eaten the remaining 0.4 jar also it takes 6 min/0.4 jar = 6*10/4 min/jar = 15 min/jar
The time taken for Papa Bear to eat the jar of honey alone is 15 minutes.
Based on the information given, the little bear will use 1/10 minutes.
In 6 minutes, the little bear will have eaten 0.6 jars
Therefore, the time taken for the papa bear will be:
= 6 minutes / (1 - 0.6)
= 6/0.4
= 15 minutes
Therefore, the correct option is 15 minutes per jar.
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Answer:
what do you not understand
Help plskekekekeesmmsmxmxmxx
Answer:
1.8 mile i think but do the math cz it should be.
uhh I need help, yes ik I’m dumb
Answer:
[tex]1\frac{7}{9}[/tex]
Step-by-step explanation:
[tex]1\frac{1}{3}[/tex] is the same as 4/3 so you'd be multiplying 4/3 x 4/3 so you multiply straight across to get 16/9 when you simplify you are left with 1 7/9
Hope that helps and have a great day!
A case of soda has 24 cans in it. There are 12 cases of soda. 1) What is the total number of cans of soda there are? 2) The soda is donated to 7 (seven) teams. How many cans of soda does each team get? {include remainder}
Answer:288 number of cans.288 divided by 7=41
Step-by-step explanation:
HELP ASAPP... Find the volume of a cylinder with a radius of 5 inches and a height that is three times the radius. Use 3.14 for pi and round your answer to the nearest tenth. (Hint: You may only enter numerals, decimal points, and negative signs in the answer blank)
Answer:
1177.5 in³
Step-by-step explanation:
To find the volume of a cylinder, you need to do this:
V= π r² h
Substitute in 3.14, 5, and 15
V= 3.14 x 5² x 15
Multiply 5 by itself
V= 3.14 x 25 x 15
Multiply 3.14 and 25
V= 78.5 x 15
Multiply 78.5 x 15 to get your answer:
V= 1177.5 in³
I hope that this helps :)
Jose owes his brother $50. He promises to pay his brother back $5 each week until his debt is paid off. Represent the relationship between the debt, D, and the number of weeks, n, in a algebraic expression.
Answer:
5n=50d
Step-by-step explanation:
If n stands for the number of weeks and he is going to pay $5 per week, then the 5n go together and if the debt is 50, then it goes on the opposite side of the equal sign. I hope this helps!
find the distance between the points given (3,4) (6,8)
Answer:
The answer is 5
Step-by-step explanation:
Hope this helps
Solve the equation and check the solution.
a minus 2 and one-half = 1 and one-half
A.a = 1
B.a = 3 and one-half
C.a = 4
D.a = 4 and one-half
A - 2 1/2 = 1 1/2
Solve for A by adding 2 1/2 to both sides:
A = 1 1/2 + 2 1/2
A = 4
The answer is c. A = 4
Check: 4 - 2 1/2 = 1 1/2
Answer:
C. A=4
Step-by-step explanation:
i just did the assignment