Given:
Point on straight line = (-6,4)
Gradient = -2
To find:
The equation of the line.
Solution:
Point-slope form: If a line passes through the point [tex](x_1,y_1)[/tex] with slope m, then the equation of the line is
[tex]y-y_1=m(x-x_1)[/tex]
The line passes through the point (-6,4) with slope -2. So, the equation of the line is:
[tex]y-4=-2(x-(-6))[/tex]
[tex]y-4=-2(x+6)[/tex]
[tex]y-4=-2x-12[/tex]
Adding 4 on both sides, we get
[tex]y-4+4=-2x-12+4[/tex]
[tex]y=-2x-8[/tex]
Therefore, the equation of the line is [tex]y=-2x-8[/tex].
x + 2y = 10
-6x + 5y = -9
- what is the solution using substitution
PLEASE HELP MEEEE
Which of the following equations will produce the graph shown below?
Answer:
A. 6x^{2}+6y^{2}=144
Step-by-step explanation:
HELP PLEASE!!!
This meal costs $14.00.
A 7% sales tax is applied, followed by an automatic tip of 18%.
What is the total with tax and tip?
Answer:
17.6764$
Step-by-step explanation:
14 * 1.07 = 14.98$
14.98$ * 1.18 = 17.6764$
The tax is $0.98 and tip is $2.52
what is Unitary Method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.
For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.
12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.
As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.
This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.
Given:
Original Cost = $14
Tax = 7%
So, Price after tax = 14 + 7% of 14
= 14 + 0.98
= $14.98
and, after 18% tip = 14 + 18% of 14
= $16.52
Hence, the tax is $0.98 and tip is $2.52
Learn more about Unitary Method here:
https://brainly.com/question/22056199
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What is the equation of the line (0, 0) (3, -9)
Answer:
y= -3x
Step-by-step explanation:
Find the slope
-9-0/3-0 = -9/3
Simplify = -3
Plug into point-slope formula
y-y1=m(x-x1)
y-0=-3(x-0)
y= -3x
Can a triangle have two obtuse angles? please Justify your answer.
Answer:
No, a triangle cannot have 2 obtuse angles. The definition of an obtuse angle is an angle with a measure that is greater than 90°.
Step-by-step explanation:
Answer:
No, because if the triangle have two obtuse angles i.e., more than 90° angle, then the sum of all three angles of a triangle will not be equal to 180°.
Step-by-step explanation:
The population of a small town is 7,300. if the population is growing by 4% each year, how long will it take for the population to reach 12,000?
in the graph below what is the unit rate ken paid to rent a go kart create a table to help finding the unit rate
The graph is missing, so i have attached it.
Answer:
$0.40 per minute
Step-by-step explanation:
From the attached graph, we can see that it is a linear graph.
Thus, to find the unit rate paid by Ken, we will calculate the slope by picking two coordinate points with thick dots on the blue and calculating it.
Point 1 = (15, 6)
Point 2 = (35, 14)
Slope = (y2 - y1)/(x2 - x1)
Slope = (14 - 6)/(35 - 15)
Slope = 8/20
Slope = $0.40 per minute
Can someone help me pls
Answer: Angle B is 27 degrees
Step-by-step explanation:
All angles in a triangle must add up to 180 degrees so if two angles 63 and 90 add up to 153 then the last number added to 153 (x+153)=180 so 27 degrees
Answer:
Angle B is 27°
Step-by-step explanation:
90°-63°=27°
PLS HELP
What is the area, in square of the parallelogram below?
Answer:
35 square units
Step-by-step explanation:
Area of the parallelogram = 7*5 = 35 square units
7. Find the missing length. A. 36 B. 48 C. 49 D. 80
Answer:
A. 36
Step-by-step explanation:
100-64= 36
Graph the line.
Don’t mind the random letters Fghhujhgdfvfdfgvee de f
Answer:
Step-by-step explanation:
Here, we want to graph the given line
Mathematically, to graph a line, we will
need to work with the intercepts
The general equation of a straight line is;
y = mx + b
m
is the slope and b is the y-intercept
with respect to the question, 4 is the y-intercept
we have this point as (0,4)
To get the x intercept, we will need to substitute 0 for the value of y
So, we have ;
0 = -x + 4
x = 4
The x-intercept too is 4
This is the point (4,0)
So by joining the points (0,4) and (4,0);
we have successfully graphed the line
It can be found as an attachment below
Two business women are having lunch at a restaurant. Their bill came to $47.85, and they want to leave an 18% tip. What is the amount of the tip?
Jenny earned 100 of a possible 144 points on a test. She lost 2 points for each incorrect answer. How
many incorrect answers did she have?
The equation is
There are
incorrect answers.
Answer: She had 22 incorrect answers
Step-by-step explanation: You divide 44 by 2.
1.
Write the slope-intercept form of the equation for the line.
A. y = [tex]\frac{1}{2}[/tex]x - 1
B. y = – 2x – 1
C. y = 2x – 1
D. y = [tex]\frac{1}{2}[/tex]x + 1
Answer: Here is the answers after I graphed it
1: The equation of the line that has a slope of 1 and a y-intercept of -1 is:
y=1x-1.
...............................................................................................................................................
2: The equation of the line that has a slope of 1 and a y-intercept of -3 is:
y=1x-3.
Step-by-step explanation: I graphed it
1: You want to find the equation for a line that has a slope of 1 and a y-intercept of -1.
First of all, remember what the equation of a line is:
y = mx+b
Where:
m is the slope, and
b is the y-intercept
All you really have to do here is
replace m with 1, which is the slope you gave, and
replace b with -1, the y-intercept you gave,
in the equation y=mx+b.
The equation of the line that has a slope of 1 and a y-intercept of -1 is:
y=1x-1.
...............................................................................................................................................
2: You want to find the equation for a line that has a slope of 1 and a y-intercept of -3.
First of all, remember what the equation of a line is:
y = mx+b
Where:
m is the slope, and
b is the y-intercept
All you really have to do here is
replace m with 1, which is the slope you gave, and
replace b with -3, the y-intercept you gave,
in the equation y=mx+b.
The equation of the line that has a slope of 1 and a y-intercept of -3 is:
y=1x-3.
please help asap!!!!
Answer:
2,145.612
Step-by-step explanation:
Read the file upload!
Write an algebraic expression for the word expression.
32 divided by b
Answer:
32/b
Step-by-step explanation:
b will be divided out of 32
quotient 2 divided by 2 3
Answer: 11.5
Step-by-step explanation:
How many liters of water vapor can be made from 34.0 grams of oxygen gas and excess amount of hydrogen gas at STP?
HELP PLZ FAST!!!!!! 100 POINTS PLZ HELP!!!!!!
An equivalent ratio to the tape diagram shown is __ to __.
Chose A: 8, 9, 7
Chose B: 20, 16, 17
Answer:
A. 8B. 16Step-by-step explanation:
The ratio as per diagram:
2 to 4Equivalent ratio from the options is:
8 to 16There are no matches for 9, 7, 20, 17
Answer:
Equivlent ratio is 8:16
Step-by-step explanation:
8:16 can be further simplified into 2:4 but 8:16 is correct choice.
If p:q = 34 :2 and p:r = 13 : 12, find the ratio of p:q:r
Answer:
p:q:r = ?
p:q = 13/2
p:r = 34/12
= 17/6
p:q:r = 221:34:78
Step-by-step explanation:
At Subway, there are 5 choices of bread, 2 sizes, and 13 filling options. Without considering the toppings, how many ways can you order a sandwich?
Answer:
20
Step-by-step explanation:
which function is shown in the table? (see image)
please help
ill mark as the brainliest
PLEASE HELP ME OMG I WILL LOVE U FOREVER
Answer:
Extreme points of [tex](3-x)^{2}[/tex] (6-x) : Minimum (3,0), Maximum (5, 4)
I hope that helps hshshs :)
ANSWER FAST PLEASE
Which of the following is not an example of a Mixed Number?
A. 5 1/4
B. -3.85
C. 16/8
D. 27 2/3
Answer:16/8
Step-by-step explanation:
Sarah went to lunch with 4 friends. The total bill was $125.68 and they had coupon for $20 off. How much did each person pay?
62% of salmon pass through a single dam unharmed. By what percent does the number of salmon decrease when passing through a single dam?
Answer: 38% of fish decrease when passing through a single dam
Step-by-step explanation: you would take 100% - 62% which equals 38%
Kan buys 35pound of mixed nuts for $ 3.50. At this rate, how many pounds of mixed nuts can he buys for $15?
Answer:
i think its 150 pounds if i wrong im super sorry
Step-by-step explanation:
2/3x-3=19. Help? solve X
Answer:
x=33
Step-by-step explanation:
Answer: x=33
Step-by-step explanation:
2/3x-3=19
+3 +3
2/3x=22
Divide by 2/3 on each side
x=33
In ΔMNO, the measure of ∠O=90°, the measure of ∠N=48°, and NO = 73 feet. Find the length of MN to the nearest tenth of a foot.
Answer:109.1 feet
Step-by-step explanation:
What function uses the ADJACENT and the HYPOTENUSE?
\text{SOH-CAH-TOA}
SOH-CAH-TOA
\cos N = \frac{\text{adjacent}}{\text{hypotenuse}}=\frac{73}{x}
cosN=
hypotenuse
adjacent
=
x
73
\cos 48=\frac{73}{x}
cos48=
x
73
x\cos 48=73
xcos48=73
Cross multiply.
\frac{x\cos 48}{\cos 48}=\frac{73}{\cos 48}
cos48
xcos48
=
cos48
73
Divide each side by cos 48.
x=\frac{73}{\cos 48}=109.0968\approx 109.1\text{ feet}
x=
cos48
73
=109.0968≈109.1 feet
Type into calculator and roundto the nearest tenth of a foot.