Answer:
y=-2x+2 (if you need it in y-intercept form)
2x+y=2 (if you need it in standard form)
Step-by-step explanation:
1. Write the original line in y=mx+b form. In other words, get the y by itself on the left side of the equation.
Subtract 2x from both sides.
y=-2x+1
2. Recall that parallel lines have the same slope. Slope is always the number with the x in the equation. Since the slope in the first equation is -2, the slope of the new line will also be -2.
3. Find the y-intercept. Use the point (-1,4) and plug the y and x values into the point-slope formula. M represents the slope.
y-y1=m(x-x1)
y-4=-2(x+1)
Simplify the equation.
y-4=-2x-2
y=-2x+2
(Proceed to step 4 if you need it in standard form)
4. Write the equation in standard form (x+y=z). Z represents the number by itself without variables.
Add -2x to both sides
2x+y=2
Answer:
An of line that passes through the point (−1,4) and is parallel to the line will be:
[tex]y=-2x+2[/tex]Step-by-step explanation:
We know that the slope-intercept form of the line equation
y = mx+b
where m is the slope and b is the y-intercept
Given the line
2x+y=1
converting the line into slope-intercept form
y = -2x+1
comparing with the slope-intercept form of the line equation
The slope of the line = m = -2
We know that the parallel lines have the same slopes.
Thus, the slope of line that passes through the point (−1,4) and is parallel to the line will be: -2
using the point-slope form of the line equation
[tex]y-y_1=m\left(x-x_1\right)[/tex]
where m is the slope of the line and (x₁, y₁) is the point
substituting the values of the slope = -2 and the point (-1, 4)
[tex]y-y_1=m\left(x-x_1\right)[/tex]
[tex]y-4=-2\left(x-\left(-1\right)\right)[/tex]
Add 4 to both sides
[tex]y-4+4=-2\left(x+1\right)+4[/tex]
[tex]y=-2x+2[/tex]
Therefore, an of line that passes through the point (−1,4) and is parallel to the line will be:
[tex]y=-2x+2[/tex]From a group of five boys and seven girls, two boys and three girls will be selected to attend a conference. In
how many possible ways can the selection be made?
Step-by-step explanation:
Number of combinations
= 5C2 * 7C3
= 10 * 35
= 350.
Hence there are 350 possible ways.
P.S.
5C2 = 5! / (2!3!) = 120 / (2 * 6) = 10.
7C3 = 7! / (3!4!) = 5040 / (6 * 24) = 35.
PLEASE HELP! it’s urgent!!
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Answer:
x = 5
Step-by-step explanation:
Assuming the given expressions are supposed to be angle measures, their sum must be 180°.
(14x +5) +(5 +20x) = 180
34x = 170 . . . . . . . . . . . . . . subtract 10, collect terms
x = 5 . . . . . . . . . divide by 34
Malik and Erin run the corn harvester for Mr. Avery. Malik and Erin harvest about 2 1/3 acres' worth of corn each day. They only have 10 1/22 days to harvest the corn. How many acres' worth of corn can they harvest for Mr. Avery?
Answer:
23 29/66
Step-by-step explanation:
If Malik and Erin harvest about 2 1/3 acres' worth of corn each day and they have 10 1/22 days to harvest the field, the total acres that can be harvested would be the product of 2 1/3 and 10 1/22
2[tex]\frac{1}{3}[/tex] x 10[tex]\frac{1}{22}[/tex]
Convert the mixed fractions to an improper fraction
[tex]\frac{7}{3}[/tex] x [tex]\frac{221}{22}[/tex] = [tex]\frac{1547}{66}[/tex]
Convert the improper fraction back to mixed fraction To do this, divide the numerator by the denominator, the number got would be the whole number of the mixed fraction. The remainder would be the numerator
23[tex]\frac{29}{66}[/tex]
cos sec² a - cot²a=1
Answer:
We want to prove the relation:
cosec(a)^2 - cot(a)^2 = 1
where:
cosec(a) = 1/sin(a)
cot(a) = 1/tg(a) = cos(a)/sin(a)
We can start with the relationship:
cos(a)^2 + sin(a)^2 = 1
Now, let's divide by sin(a)^2 in both sides:
(cos(a)^2 + sin(a)^2)/sin(a)^2 = 1/sin(a)^2
cos(a)^2/sin(a)^2 + sin(a)^2/sin(a)^2 = (1/sin(a))^2
(cos(a)/sin(a))^2 + 1 = (1/sin(a))^2
and remember that:
cosec(a) = 1/sin(a)
cot(a) = 1/tg(a) = cos(a)/sin(a)
Then we can write:
(cos(a)/sin(a))^2 + 1 = (1/sin(a))^2
as:
cot(a)^2 + 1 = cosec(a)^2
1 = cosec(a)^2 - cot(a)^2
And this is the relation we wanted to prove.
1.The entry tickets at a community fair cost $5 for children and $10 for adults. On a certain day 1000 people entered in the fair and \$7,100is collected. How many adults and how many children were at the fair? Please answer
Answer:
The number of adult that were at fair are 480 adults
The number of children that were at fair are 580 children
Step-by-step explanation:
The given parameters are;
The entry tickets cost for children = $5
The entry ticket cost for adult = $10
The number of people that entered the fair on a certain day = 1,000
The amount collected for entry tickets sold = $7,100
Let 'x' represent the number of children that bought tickets and were at fair, and let 'y' represent the number of adults that bought tickets and were at the fair, we have;
x + y = 1,000...(1)
5·x + 10·y = 7,100...(2)
Making 'y' the subject of both equations gives;
For equation (1)
y = 1000 - x...(3)
For equation (2)
10·y = 7,100 - 5·x
y = (7,100 - 5·x)/10 = 710 - x/2
y = 710 - x/2...(4)
Equating both values of 'y' from equation (3) and equation (4), we have;
1000 - x = 710 - x/2
1000 - 710 = -x/2 + x = x/2
290 = x/2
x = 580
The number of children that bought tickets and were at fair = x = 580 children
From equation (3), y = 1,000 - x = 1,000 - 580 = 420
y = 480
The number of adult that bought tickets and were at fair = y = 480 adults.
The point (-3,-2) is reflected in the origin. the coordinated of its image are
a. (-2,-3) b. (3,2) c. (2,3) d.(-3,2)
Answer:
(3, 2)
Step-by-step explanation:
Just negate the x & y coordinates.
As a holiday gift, coach tells bryan that he will be running laps. if he runs 1 1/3 miles in 1/10 hour when doing laps for basketball, what is his rate of speed in miles per hour
Answer:
13 1/3 mph
Step-by-step explanation:
If running 1 1/3 miles takes him 1/10 hour, 1 1/3 * 10 will be his mph
Which fraction is not equal to 2/3?
Answer:1/4
Step-by-step explanation:
John's burgers cooks it's burgers either well done or medium. The restaurant served 80 burgers last night, 30% of which were well done. How many well done burgers did the restaurant serve?
Answer:
24
Step-by-step explanation:
30/100 * 80/1 = your equation
30/10 * 8/1 = simplified equation
30/10 * 8/1 = 24. your answer is 24
The number of well-done burgers the restaurant served will be 24.
What is the percentage?The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates to one hundred percent. It is symbolized by the character '%'.
The percentage is given as,
Percentage (P) = [Final value - Initial value] / Initial value x 100
John's burgers cook its burgers either well done or medium. The restaurant served 80 burgers last night, 30% of which were well done.
Then the number of well-done burgers the restaurant served will be given as,
⇒ 30% of 80
⇒ 0.30 x 80
⇒ 24
The number of well-done burgers the restaurant served will be 24.
More about the percentage link is given below.
https://brainly.com/question/8011401
#SPJ5
what is the length of the lot
Answer: about 43.5298
Step-by-step explanation:
What is M<3. PLEASE HELPPP
Answer:
105 degrees
Step-by-step explanation:
The angle of a straight line is 180 degrees. Since we need to find the angle for 3, it is 180-75 which is 105 degrees.
A monkey is swinging from a tree. On each swing she travels along an arc that is 75% as long as the previous swing arc. The total length of the arcs from her first 4 swings is 175m.
Answer:
The first swing is 64m
Step-by-step explanation:
The complete question asks for how long the first swing is.
The monkey is swinging from the tree with each swing being along an arc, where each arc is 75% of the previous arc. Also, given that its first four swings is 175cm, we can denote her first swing as y.
This means the second swing would be = 0.75y
The third would be = 0.75(0.75y) = 0.5625y
The fourth would be = 0.75(0.5625y) = 0.421875y
Since the total is 175, we have
y + 0.75y + 0.5625y + 0.421875y = 175
2.734375y = 175
y = 175/2.734375
y = 64m
Mrs. Klein purchased a cell phone data plan for her 3 daughters to share equally. Each daughter uses 6.5 GB of data each month. What is the total GB of data, d, used each month by all 3 daughters?
I WILL GIVE BRAINLIST PLEASE HURRYYY
Answer: 19.5 GB
To find this answer, we multiply the number of daughters (3) by the amount of data each uses per month (6.5)
So, 6.5*3 = 19.5 is the total amount of gigabytes used per month.
Pleasee help!!!!!!!!!!!
Which expression is equivalent to 6 - (-2)?
-6 + 2
-6 - 2
6+2
6-2
Answer:
6+2
Step-by-step explanation:
[tex]6 - ( - 2)[/tex]
Distribute the negative in.
Negative Multiply Negative must equal Positive.
[tex]6 + 2[/tex]
PLS PLEASE PLEASE HELP ILL GIVE BRAINLEST
Answer:
14 ( i may be wrong)
Step-by-step explanation:
5:3
3+2=5
?:12
12+2=?
14
Help me with this now
Answer:
45
Step-by-step explanation:
2x+45+x = 180
Answer:
x=45 degrees
Step-by-step explanation:
please mark as brainliest
subtract (3x -n -1) and (2-2x -n)
Step-by-step explanation:
Subtracting (3x -n -1) and (2-2x -n)
= 3x - n - 1 - 2 + 2x + n
= 5x - 3
Hope it will help :)
Answer:
5x - 3
Step-by-step explanation:
A theater group sells tickets to a play. If an adult ticket costs $12.50 and a child ticket costs $8.75, then how much money will the group collect by selling 70 adult tickets and 15 child tickets?
Answer:
$1,006.25
Step-by-step explanation:
If you sell 70 adult tickets at $12.50 each, use the equation
12.5*70=875
By using the same equation for kids tickets,
8.75*15=131.25
Then add the sums
875+131.25=1006.25
Hope this helps!
Talk the Talk Cellular charges a base rate of $20 per month for unlimited texts plus $0.15/minute of talk time. The monthly cost for x minutes is given by f(x) = 20+0.15x. What is the independent Variable? What is the dependent Variable? What is the domain? What is the range?
Answer:
x≥0,
y≥20
Step-by-step explanation:
Step one:
given data
We are told that the cost function is given as
[tex]f(x) = 20+0.15x[/tex]
What is the independent Variable?
The independent variable is first term 20---- the number of minutes
What is the dependent Variable?
The dependent variable is the monthly cost f(x)
What is the domain?
The domain is
x≥0
What is the domain? What is the range?
y≥20
PLS HELP ME ILL GIVE BRAINLIEST IF YOU EXPLAIN AND ANSWER
Answer: U=9
Step-by-step explanation:
5. (01.03 MC)
Which of the following is a step in simplifying the expression
? (5 points)
Answer:
A
Step-by-step explanation:
To simplify the expression you first would need to multiple each part of it by -2 in order to remove the parenthesis
Please help me
thank you
9514 1404 393
Answer:
Q4: 7.5
Q5: 3
Step-by-step explanation:
Q4. The picture is a bit fuzzy, but it looks like '+' means '+' and the expression is ...
[tex]18\div4+3\times2\div2=4.5+6\div2=4.5+3=\boxed{7.5}[/tex]
__
Q5. There are 3 instances of "..., 7, 5, x", where x is not 9. They are circled below.
HELP ME PLEASE BRAINLIEST ANSWER PLEASE HELP ME
Answer:
alright hers your brainliest and thank you very much i really appreciate it
Step-by-step explanation:
Your friend claims that she has a bag of 30 coins containing nickels, dimes,
and quarters. The total value of the 30 coins is $3. There are twice as many
nickels as there are dimes. Is your friend correct?
9514 1404 393
Answer:
No
Step-by-step explanation:
If all 30 coins were nickels and dimes, there would be 10 dimes and 20 nickels, for a total value of $2.00. Trading a dime and 2 nickels for an equal number of quarters raises the value to $2.00 -0.10 -2(0.05) +3(0.25) = $2.55.
That is, each such trade adds $0.55 in value to the total amount. Since the original difference of $3.00 -$2.00 = $1.00 is not evenly divisible by $0.55, there cannot be twice as many nickels as dimes.
__
For 30 coins, possible numbers of {nickels, dimes, quarters} are ...
{21,2,7}, {18,6,6}, {15,10,5}, {12,14,4}, {9,18,3}, {6,22,2}, {3,26,1}, {30 dimes}
Note that we can have 1.5, 3, or 10.5 times as many nickels as dimes, but not 2 times as many.
PLSS HELP I WILL MAKE YOU BRIANLIST
Answer:
b 14.5
Step-by-step explanation:
Ok 25+4=29 then half of 29 is 14.5
jacob divided 976 by28 using partial quotients. whats missing from jacob work?
what is the molecular formula for this compound
Answer:
4 C3 H6 ........................
Please help, not good at match will mark smart
Answer:
n > 36
Step-by-step explanation:
Adding 22 to both sides gives n > 36.
Rate 5 stars, thank, and give brainliest if helpful!
PLS HELP MY HWS DUE IN 20 MINS AND PLS SHOW WORK TY
find all missing angles
m<1:
m<2:
m<3:
m<4:
m<5:
m<6:
m<7:
Answer:
m<1 51°
m<2 34°
m<3 95°
m<4 38°
m<5 47°
m<6 74°
m<7 59°
m<1 there are 180° on a straight line. 180-129= 51°
m<2 there are 180° in a triangle. we have been given 95° and have just established that m<1 is 51° 180- 95- 51 = 34°
m<3 is a vertically opposite angle to the 95° given. therefore must = 95°
m<4 180° in a triangle. have just established m<3 as 95° have been given 47°. 180 - 95 - 47 = 38°
m<5 is vertically opposite to the 47° given so therefore = 47°
m<7 180° on a straight line 180 - 121 = 59°
m<6 180° in a triangle have previously established that m<5 = 47° and m<7 = 59°
180 - 47 - 59 = 74°
hope that helps xx