Which equation represents the line that passes through the points (1, 1) and
(-4, 7)?
A. 5x + 6y = 11
B. 6x + 5y = 11
C. 6x - 5y = -11
D. 5x - y = -11
PLEASE HELP
ILL GIVE YOU BRAINIEST
Answers
Answer:
Option (B)
Step-by-step explanation:
Let the equation of the line is,
y = mx + b
Here m = slope of the line
b = y-intercept
Slope of the line passing through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is,
m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
Slope of the line which passes through the points (1, 1) and (-4, 7) will be,
m = [tex]\frac{7-1}{-4-1}[/tex]
= [tex]-\frac{6}{5}[/tex]
By substituting the value of m in the equation,
y = [tex]-\frac{6}{5}x+b[/tex]
Since, this line passes through (1, 1),
1 = [tex]-\frac{6}{5}(1)+b[/tex]
b = [tex]1+\frac{6}{5}[/tex]
= [tex]\frac{11}{5}[/tex]
Therefore, equation will be,
[tex]y=-\frac{6}{5}x+\frac{11}{5}[/tex]
5y = -6x + 11
6x + 5y = 11
Option B is the answer.
Related Questions
Chang wants to know if he is improving
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Yes he is
Step-by-step explanation:
Answer:
Yes! he is
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Please answer the question below
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Answer:
50 i think
Step-by-step explanation:
Giving brainliest to the correct answer 20 points!!!
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Answer:
x, (40,0)
y, (0,15)
hope it helps
Answer:
78
Step-by-step explanation:
hvtyvyuhj7
3. The number of years that Brad has been on the soccer team is 2 less than 5 times the number
of years that Scott has. In total, the boys have been on the soccer team for 10 years. How long
has Brad been on the soccer team?
Answers
Answer:
Answer: Brad has been in the team for 8 years. Trust i got it right on the test
Step-by-step explanation:
A scuba diver starts at 85 3/4 meters below the surface of the water and descends until he reaches 103 1/5
meters below sea level. How many meters did he descend?
MUST SHOW WORK
you get EXTRA points if you show your WORK!
good luck please solve this :)
Answers
Answer:
From his starting point of 85 3/4, he descended 17 9/20 meters
Step-by-step explanation:
We want to know how much farther he went down from his starting point.
103 1/5 - 85 3/4
S
tart off by making the denominators of both the numbers the same.
103 1/5 - 85 3/4
103 4/20 - 85 15/20
Make them into improper fractions
2064/20 - 1715/20 = 349/20
Make 349/20 into a mixed fraction
17 9/20
4/5 + 3/5 add following numbers and simplify
Answers
Answer:
1 2/5 is your answer in decimal form it is 1.4
4+3/5
7/5~Simplify this fraction~
1 2/5~Is your answer after you simplify~
Answer:
7/5, or 1 2/5 if you're looking for a mixed fraction.
Step-by-step explanation:
Since the denominators are the same, just add the numerators and keep the denominator the same. 7/5
Which fraction represents the ratio of the red portion of the circle to the
complete circle?
Answers
Answer:
can you add a picture of the circle?
Step-by-step explanation:
PLEASE HELP!! WILL GIVE BRAINLIEST!!!
Answers
12 cups= 3 quarts
there ya goo
Diana is going camping with her family. Their campsite is 7/8 miles away. They walk at a steady speed of 2 1/2 mi/h. How many minutes will it take them to get to the campsite
Answers
Answer:
21 minutes
Step-by-step explanation:
Using the formula to calculate the time expressed as;
Speed = Distance/Time
Given:
Distance = 7/8 miles
Speed = 2 1/2 mi/hr
Required
Time in minutes
Substitute the given values into the formula;
Recall that:
S = D/T
T = D/S
Time = 7/8 ÷ 2 1/2
Time = 7/8 ÷ 5/2
Time = 7/8 * 2/5
Time = 7/4 * 1/5
Time = 7/20 hour
Since 1 hour = 60 minutes
7/20 hour = (7/20 * 60)minutes
7/20 hour = 7 * 3
7/20 hour = 21 minutes
Therefore it will take them 21 minutes to get to the campsite
I=$24, P=$400, T=2years
Answers
Answer:
rate = 24*100/(400*2) = 3%
Step-by-step explanation:
58 x 64 is the same as:
(64 x 50) + (64 x )
What number goes in the space?
help please
Answers
64 x 50 = 3,200
3,712-3,200= 512
64 x ? = 512
?=8
3,200+512= 3,712
Tim has a large collection of books. The number of paperback books he has is 3 times less then 4 times the amount of hardcover books. How many hardcover books does Tim have?
Answers
Complete Question:
Tim has a large collection of books. The number of paperback books he owns is three less than four times the number of hard cover books, in total Tim had 447 books, How many hard cover books does Tim own ?
Answer:
Tim has 90 hard cover books
Step-by-step explanation:
Represent the paper books as P and the hard covers as H
The total number of books can be represented as:
[tex]P + H = 447[/tex]
From the first statement, we have:
P = 3 less than 4 times H
This means:
[tex]P = 4H - 3[/tex]
Required
Solve for H
Substitute 4H - 3 for P in [tex]P + H = 447[/tex]
[tex]4H - 3 + H = 447[/tex]
Collect Like Terms
[tex]4H + H = 447 + 3[/tex]
[tex]5H = 450[/tex]
Solve for H
[tex]H = \frac{450}{5}[/tex]
[tex]H = 90[/tex]
Hence:
Tim has 90 hard cover books
2. Next she needs to find her maximum heart rate m by subtracting her age a from 220. Write an
equation she can use.
Answers
Answer:
220 - a = m
Step-by-step explanation:
a is her age
4. -64
Multiplicative inverse
Answers
Answer:
the answer I got is -23, please let me know if I am wrong.
Josh plans to spend at most $45 on a gift for his mother, including the $15 he plans to spend on flowers. Which inequality represents x, the range of amounts that Josh can spend on the gift?
Answers
Answer:
x ≤ $30
Step-by-step explanation:
Including the $15 for flowers, there is a budget of $45. Josh cannot spend more than $30 on a gift.
x can be less than or equal to $30
The inequality for the $x of gift x≤ 30.
What is inequality?Mathematical expressions with inequalities are those in which the two sides are not equal. Contrary to equations, we compare two values in inequality. Less than (or less than or equal to), larger than (or greater than or equal to), or not equal to signs are used in place of the equal sign.
For example, In the 12U Softball division, Olivia gets chosen. What is Olivia's age?
Olivia's age is unknown to you since the word "equals" is missing. However, because you are aware that she should be under or equal to 12, you can write Olivia's Age ≤ 12.
Given:
Total amount spend on gift = $45
price of flower= $15
So, the amount of gift only is
=45- 15
=$30
Thus, Josh can only spend $30 for the gift not more than that.
Hence, the inequality for the $x of gift
x≤ 30
Learn more about inequality here:
https://brainly.com/question/28823603
#SPJ2
Solve (x + 3)(x - x = 0. (2 points) x = 3, x = -8 O x = -3, x = 8 x = 3, x = 8 O x = -3, X = -8
Answers
answer:
the answer is -3 and 8
Step-by-step explanation:
we will place -3 in the equation
(x+3)(x-x)=0
(-3+3)=0 (because -3+3 will cut down together)
we will place two 8(eights) in the equation
(8-8)=0
final answer is
(0)(0)=0
so -3 and 8 fits well in the equation
please help i will give Brainliest
7.4 = -t/8.5
t = ?
Answers
Answer:
-62.9
Step-by-step explanation:
7.4= [tex]\frac{-t}{8.5}[/tex]
8.5 (7.4)=-t
62.9=-t
t=-62.9
Please help me find the x and y value of these
Answers
Answer:
27 and 28
Step-by-step explanation:
How is (5 , -7) and (-5 , 7) related on a coordinate plane?
Answers
Answer:
they are on opposite quadrants and they meet exactly in the origin (0,0)
Solve the following equation for c.
ab + cd = e
(Sorry, this is all the info they gave me.)
Answers
Answer:
Step-by-step explanation:
ab + cd = e
cd = e - ab
d =(e - ab)/d
solving a compound inequality. check all that apply.
Answers
Answer:
The solutions are:
-28.25, -14.5, -2.25
Step-by-step explanation:
Given compound inequality is:
[tex]-17.5\leq \frac{2x+4}{3} <17.5[/tex]
The compound inequalities are broken down into two inequalities to find the solution
The two inequalities will be:
[tex]\frac{2x+4}{3} \geq -17.5[/tex] AND [tex]\frac{2x+4}{3}<{17.5}[/tex]
Solving both inequalities one by one
[tex]\frac{2x+4}{3} \geq -17.5\\2x+4 \geq -52.5\\2x \geq -52.5-4\\2x \geq -56.5\\\frac{2x}{2} \geq \frac{-56.5}{2}\\x \geq -28.25\\\frac{2x+4}{3} < 17.5\\2x+4 < 52.5\\2x < 52.5-4\\2x \geq 48.5\\\frac{2x}{2} \geq \frac{48.5}{2}\\x < 24.25[/tex]
The solution is:
-28.25 ≤ x < 24.25
We have to see which options lie in the solution range.
The solutions are:
-28.25, -14.5, -2.25
Give the domain and range of the relation. Indicate whether the relation is a function or not.
D: {0, 1, 2, 3}
R: {−3, −2, 2, 5}
The relation is a function.
D: {−3, −2, 2, 5}
R: {0, 1, 2, 3}
The relation is a function.
D: {0, 1, 2, 3}
R: {−3, −2, 2, 5}
The relation is not a function.
D: {−3, −2, 2, 5}
R: {0, 1, 2, 3}
The relation is not a function.
Answers
D: {0, 1, 2, 3}
R: {−3, −2, 2, 5}
The relation is a function.
That's the answer.
How many 8-song play lists contain no songs by One Direction? Suppose Janine decides to let her iPod select an 8-song play list at random.
Answers
Answer:
Step-by-step explanation:
Joey and Krysta are at the Richmond Fair and are waiting in line to ride on the Ferris Wheel. They are trying to figure how long they will need to wait before they get to the front of the line. The more people in the line ahead of them, the longer they will need to wait.
p = the number of people in line ahead of Joey and Krysta
w = the length of time Joey and Krysta will need to wait
Which variable is the independent variable?
Answers
Answer:
P, the number of people in line ahead of Joey and Krysta is the independent variable.
Step-by-step explanation:
Memorial Stadium has worked with the same advertising company for 10 years. According to the company's data the stadium has spent approximately $2.5 million on advertising over that period for 100 events. If the patrons to all of these events numbered 18.5 million, what is the ratio of patrons to advertising dollars?
Answers
Answer:
7.4:1
Step-by-step explanation:
The rate of patrons to advertising dollar is7.4 patrons per dollar.
What is rate?A rate is a comparison between two quantities that's calculated by dividing one quantum by the other. The quotient a/ b is appertained to as the rate between a and b if a and b are two values of the same kind and with the same units, similar that b isn't equal to 0. rates are represented by the colon symbol(). As a result, the rate a/ b has no units and is represented by the memorandum ab.
Given:
The colosseum has spent roughly $2.5 million on advertising over that period for 100 events.
So, the rate of patrons to advertising
= 18.5 million patrons to $2.5 million
= 18.5/2.5
= 7.4 patrons per dollar
Learn more about Ratio here:
https://brainly.com/question/13419413
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Expand.
Your answer should be a polynomial in standard form.
(y2 + 6)(-2y + 7) =
Answers
Answer:
See attached image
Step-by-step explanation:
Use the FOIL method
First - multiply the first numbers inside the parentheses (y^2 and -2y)
Outer- multiply the first and last numbers inside the parentheses (y^2 and 7)
Inner - multiply the two numbers next to the closing and opening parentheses (6 and -2y)
Last- multiply the last two numbers in the parentheses. (6 and 7)
Then simplify to put it in standard form.
4 6/7 + 3 5/7 please help me
Answers
Answer: The answer is 60/7 or in mixed number form it is 8 4/7...
to make it easier, all you do is make the fractions improper and then add... If they didn't have the same denominator then you would make them have the same denominator. But they already have the same denominator... Or in other words convert the fractions into improper fractions, then find the LCD and combine... 34/7+26/7
34+26/7
60/7
decimal form: 8.571428
mixed number form: 8 4/7
Hope this helps... Stay safe and have a great day/night!! :D
Answer:
about 8.6, or 8.57142857143
Step-by-step explanation:
4 6/7 + 3 5/7
= 28+6/7 + 21+5/7
= 34/7 +26/7
= 60/7
= about 8.6
The temperature on Mars may reach a high of 70 degrees Fahrenheit at the equator in the summer. It may reach a low of -225 degrees Fahrenheit at the poles. Which expression gives the difference between those temperatures?
Answers
Answer: See explanation
Step-by-step explanation:
Since we are informed that the temperature on Mars may reach a high of 70 degrees Fahrenheit at the equator in the summer and may also reach a low of -225 degrees Fahrenheit at the poles.
The expression that gives the difference between those temperatures would then be calculated as:
= 70°F - (-225°F)
= 70°F + 225°F
= 295°F
If the weight of a package is multiplied by 5/6 the result is 10 lbs. Find the weight of the package.
Answers
Answer:
Step-by-step explanation:
1
. Start by making a "let statement."
Let
x
represent the weight of the package.
2
. Create an algebraic expression.
5
7
x
=
40.5
i
pounds
3
. Isolate for
x
by dividing both sides by
5
7
.
5
7
x
÷
5
7
=
40.5
i
pounds
÷
5
7
4
. Recall that in order to divide a fraction by another fraction, take the reciprocal of the divisor and change the division sign to a multiplication sign.
5
7
x
⋅
7
5
=
40.5
i
pounds
⋅
7
5
5
. Solve for
x
.
5
⋅
7
7
⋅
5
x
=
40.5
⋅
7
5
i
pounds
x
=
∣
∣
∣
∣
¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯
a
a
56.7
i
pounds
a
a
∣
∣
−−−−−−−−−−−−−−−
-c+1 > 2 now this one
Answers
-c + 1 > 2
-c > 2-1 Move 1 to subtract.
-c > 1
c < -1 When the coefficient is negative, moving the negative to another side as changing the sign of Inequality to opposite.
Thus, the answer is c < -1
