Answer:
(b) x +2y = 8
Step-by-step explanation:
There are at least a couple of ways to come to the conclusion.
1) use the given information to write the equation of the desired line
2) check to see which of the answer choices satisfies the requirement
__
1)The given line has two specified points on it. These can be used to find its slope. (Or, you can count grid square to see it has a rise of -1 for a run of +2.)
The slope formula is ...
m = (y2 -y1)/(x2 -x1)
m = (-4 -0)/(4 -(-4)) = -4/8 = -1/2
Comparing this to our grid square count, we see they are the same:
m = rise/run = -1/2
Now, we have a slope (-1/2) and a point (2, 3), so we can use these to write the point-slope equation of the desired line:
y -k = m(x -h) . . . . . . . line with slope m through point (h, k)
y -3 = -1/2(x -2) . . . . . point-slope equation of the desired line
y -3 = -1/2x +1 . . . . . . eliminate parentheses
1/2x +y = 4 . . . . . . . . add 1/2x +3 to both sides
x +2y = 8 . . . . . . . . . multiply by 2
__
2)Perhaps easier in this case is to try the given equations to see which is satisfied at the given point. There are two different left-side expressions to evaluate at the point (x, y) = (2, 3):
x +2y = (2 +2(3)) = 2+6 = 8
2x +y = 2(2) +3 = 4 +3 = 7
Only the equation ...
x +2y = 8
is satisfied at the given point.
_____
Additional comments
While I encourage you to learn to solve questions like this "from scratch", modern math curriculum is often "multiple choice."
When faced with multiple choices for answers, it is often easiest to ...
(a) eliminate the ones that are not self-consistent or that are false on their face;
(b) eliminate the ones that have an obviously fatal flaw (wrong sign of slope, too large or too small, for example);
(c) choose from the remaining ones the one that properly answers the question (satisfies all requirements).
__
When you solve a standard-form equation for y, you get ...
ax +by = c
by = -ax +c
y = -a/bx +c/b
That is, the slope of the line is -a/b.
For the two left-side expressions in the answer choices, the slopes are ...
x +2y ⇒ slope = -1/2
2x +y ⇒ slope = -2/1 = -2
The scales on the graph are the same in the x- and y-directions, so the shallow negative slope of the given line is clearly less than 1. That eliminates the last two answer choices already.
use the mutipler method to increase £88 by 14%
Answer:
£100.32
Step-by-step explanation:
An increase of 14% on the original amount (100%) is
100 + 14 = 114% = [tex]\frac{114}{100}[/tex] = 1.14 , then
£88 × 1.14 = £100.32
which pairs of polygons are congruent?
A. 3 and 4
B. 1 and 3
C. 1, 3, and 4
D. 2, 3, and 4
E. 1, 2, 3 and 4
Answer:
B
Step-by-step explanation:
From the observation deck of a skyscraper, Jamal measures a 51° angle of depression
to a ship in the harbor below. If the observation deck is 1123 feet high, what is the
horizontal distance from the base of the skyscraper out to the ship? Round your
answer to the nearest hundredth of a foot if necessary.
Answer:
Your answer is 909.39 feet
Step-by-step explanation:
The swimming team has competed in 45 races this season. They have won 30 races so far. How many races will the team need to win today for the team to have a 75% success rate? 8 10 12 15.
The number of races the team need to win today for the team to have a 75% success rate is 15
Number of attempt = 45
Number of winnings = 30
Percentage won so far = 30/45 × 100
= 66.67%
let
x = Number of races that tfe team needs to win to have 75% success rate
(30 + x) / (45 + x) = 0.75
Cross product
30 + x = 0.75(45 + x)
30 + x = 33.75 + 0.75x
x - 0.75x = 33.75 - 30
0.25x = 3.75
x = 3.75 / 0.25
x = 15
Therefore, the number of races the team need to win today for the team to have a 75% success rate is 15
Learn more about percentage:
https://brainly.com/question/7225231
The 1,600-meter race in the Olympics is very close to 1 mile long. How many kilometers is 1,600 meters?
Chau needs to buy plastic forks. Brand A has a box of 12 forks for $1.12. Brand B has a box of 25 forks for $2.69. Find the unit price for each brand. Then state which brand is the better buy based on the unit price. Round your answers to the nearest cent.
PLEASE HELP!!!!
ASAP!
Answer:
The answer for Brand A is 0.09 because if you divide that would be you answer.
Brand B the answer is 0.10 how you do it is the same you divide and this is you answer.
Step-by-step explanation:
A population of 100 cells triples every hour.
Write a function for the population p(t) where t represents the number of hours.
AnswerBABY BAYBY OOOOH
Step-by-step explanation:
In a set of bivariate data, an additional point is added near the regression line but far away from the rest of the data. this
will the slope of the regression line and the correlation coefficient.
A slightly change, strengthen
B greatly change, weaken
C slightly change, weaken
D greatly change, strengthen
E not change, not change
Answer:
C. is the answerStep-by-step explanation:
CARRY ON LEARNINGAND REMEMBER DO ALWAYS READ AND WRITE
Can someone plz help Me?
Answer:
A
Step-by-step explanation:
because if you use a graph you can get it right you count the boxes and you get 4 units but please double check.
Answer:
A
Step-by-step explanation:
Can someone help me with this problem please!
Answer:
can you send in a better photo i cannot see it clearly
Step-by-step explanation:
how to find parallelogram height with angles and side length
Answer:
h = a * sin α
Step-by-step explanation:
The easiest answer is utilizing Law of Sines: a / Sin A = b / Sin B = c /Sin C
a and ∠α : known
∠AEB = 90°
a / Sin 90° = h / Sin α .. Sin 90° = 1
h = a * sin α
Find the value of each variable in the given figures
Answer:
q = 22
Step-by-step explanation:
(7q - 46)° + (3q+6)° = 180 (linear pair property)
7q - 46 + 3q + 6 = 180
10q - 40 = 180
10q = 180 + 40
10q = 220
q = 220/10 = 22
m∠ABD = (7q - 46)° = 7(22) - 46 = 154 - 46 = 108°
m∠DBC = (3q + 6)° = 3(22) + 6 = 66 + 6 = 72°
Which congruence criteria is met in the following scenario?
ASA
SSS
AAS
HL
SAS
can someone help me
Answer:
The answer is 6 cause khan acadamy
Step-by-step explanation:
The m<1 is 18 more than twice m<2. Find m<3.
See picture for full problem. Please and thank you!
====================================================
Explanation
x = measure of angle 1
y = measure of angle 2
x = 2y+18, since angle 1 is 18 more than twice that of angle 2
Assuming this is a parallelogram, the adjacent angles are supplementary. So,
x+y = 180
2y+18+y = 180
3y+18 = 180
3y = 180-18
3y = 162
y = 162/3
y = 54
This leads to,
x = 2y+18
x = 2*54+18
x = 108+18
x = 126
Note that x+y = 126+54 = 180
Another useful fact about parallelograms is that the opposite angles are the same measure. So angle 1 = angle 3 = 126 degrees
The measure of angle 3, if The measure of ∠1 is 18 more than twice the measure of ∠2 is 126°
What is polygon?
In geometry, a polygon is any closed curve made up of a collection of continuous line segments (sides) without any intersections. Triangles (three sides), quadrilaterals (four sides), and pentagons are the three simplest polygons (five sides).
Given:
The measure of angle 1 = 2 × The measure of the angle 2 + 18
Write an equation for the above statement,
x = 2y + 18
Here, x is a measure of angle 1 and y is the measure of angle 2,
As you can see from the figure it is a parallelogram then,
x + y = 180 (The sum of supplementary angle)
Solve the equation by elimination method,
y = 54, x = 2 × 54 + 18 = 126
The opposite angle of a parallelogram are equal,
Measure of angle 3 = Measure of angle 1 = 126
To know more about polygons:
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#SPJ2
Hey can u help me plsss I really need help don’t just press for points.
how do we hel you , ca we get a description
Solve V = twh for w.
Answer:
w = V/lhStep-by-step explanation:
Given equation:
V = lwhSolve for w:
V/lh = lwh/lh Divide both sides by the lh to isolate the wV/lh = w Cancel same variablesw = V/lh Swap left and right sidesAnswer:
V/lh
Step-by-step explanation:
Given,
V = lwh
Here we know
V = volume
l = length
w = width
h = height
Now,
On solving for w
V = lwh
V = l × w × h
V/l = w × h
V/l × h = w
V/lh = w
MATH WILL YOU PLEASE HELP!
Answer:
I think it's -6x-18, this queston uses distributive property, so you must multiply each term inside the parenthesis to the number outside the parenthesis.
the perimeter of a rectangular field is is 84m.If the width of the rectangle is 6m less than the length,then find the dimensions?please friends help!!!!!!!!
Answer:
24
**Solving Steps**
2 x (2 x X - 6) = 84
4x-12=84
84+12=96
96/4 = 24
Hope it helps.
Solve for x.
(−19)2=x
Answer:
Step-by-step explanation:
Answer:
x=-38
Step-by-step explanation:
-19*2=-38
Hope this helps! Pls give brainliest! Also sub to kgir633 on yt.
PLEASE HELP ASAP GOD BLESS YOU If YOU HELP ME IT WILL RAISE MY GRADE
Answer:
Hi i think its option 3 maybe just wait until someone else helps but i say option 3 but gl anyways
Step-by-step explanation:
Find how many square feet of grass are in the plot shown on the right.
Answer:
5,850 sq. ft
Step-by-step explanation:
what is10 + 9
i really dont know
can someone help me
[tex] \huge \green{ \boxed{ANSWER}}[/tex]
[tex]10 \: + \: 9 \: = {\boxed{19}}[/tex]
USE CALCULATOR -_-
[tex] \mathfrak{JazmineChoi}[/tex]
STAN TREASURE
Answer:
19
Step-by-step explanation: 10 +9 = 19
The original price of a DVD is $12. The sale price is 75% off the original price. Find the sale price of the DVD.
Answer:
9 lol
Step-by-step explanation:
comming from a highscholer its 12% of 12 =9
hope this helps
Which of these is a correct statement regarding payday loans
Step-by-step explanation:
I think your question is not complete
resend it if you don't mind
They're easier to get than both mortgages and car loans
Can someone help me please
Answer:i dont know 1
2. variable
3. terms
Step-by-step explanation:
How many angles are formed with a pair of parallel lines and a transversal
Answer:
what i learned was 8 are formed
Step-by-step explanation:
What is the area of this figure?
6 in
4 in
1 in
2 in
7 in
6 in
square inches
Answer:
wheres the figure
aaah
good morning
What is an equation of a line that passes through the point
(0,3) and is perpendicular to the line whose equation is
y = 2x - 1?
-
Answer: y = -(1/2)x + 3
Step-by-step explanation:
y = 2x - 1
This is in the format of y=mx + b, where m is the slope and b is the y-intercept (the value of y when x=0).
Perpendicular lines have a slope that is the negative inverse of the reference line. The slope of this reference line is 2, so the slope of a perpendicular kline will be -(1/2).
This yields the equation y = -(1/2)x + b
To find the value of b, we can use the given point, (0,3) and use these values of x and y to solve for b:
y = -(1/2)x + b
3 = -(1/2)(0) + b
b = 3
The equation of a line perpendicular to y = 2x - 1 and goes through point (0,3) is:
y = -(1/2)x + 3
How can you split 20 into 3 groups
The answer is 6 per team with 2 left over, as (6 x 3) + 2 = 20
I thought of the largest amount that could be multiplied by 3, but the product would be less or equal to 20, that's how I got 6.
Then to find the left over remaining balls that are given out I subtracted 20-18 = 2.