12
What is the equation of the line that is parallel to the
given line and passes through the point (12,-2)?
10
8
(126)
6
4
-2
o y=-x + 10
O y=-x + 12
O y=-x-10
o y=-x-12
-10-B-
B2
21
B
8
10 12 14 X
(12-2
(0.4)
10
Answers
Answer:
y=5/6x -12
Step-by-step explanation:
first find the slope of the graph
by using 2 points (0,-4) (12,6)
[tex]m = \frac{6 - ( - 4)}{12 - 0} = \frac{10}{12} = \frac{5}{6} [/tex]
and bcoz they r parallel they have the same slope,,now find the equation by using the given point
y-y=m(x-x)
y+2=5/6(x-12)
[tex]y = \frac{5}{6} x - 12[/tex]
Related Questions
what number must you add to complete the square? x^2+28x=11
Answers
To complete 2ab of (a+b)²
2ab=28x2x(b)=28xb=28x/2xb=14b²=196196 must be added on both sides to get complete square as (x+14)²
Answer:
196
Step-by-step explanation:
Given equation:
[tex]x^2+28x=11[/tex]
Step 1
When completing the square for an equation in the form ax²+bx+c=0, the first step is to move the constant to the right side of the equation.
This has already been done in the given equation:
[tex]x^2+28x=11[/tex]
Step 2
Add the square of half the coefficient of x to both sides.
This forms a perfect square trinomial on the left side:
[tex]\implies x^2+28x+\left(\dfrac{28}{2}\right)^2=11+\left(\dfrac{28}{2}\right)^2[/tex]
Simplify:
[tex]\implies x^2+28x+14^2=11+14^2[/tex]
[tex]\implies x^2+28x+196=11+196[/tex]
[tex]\implies x^2+28x+196=207[/tex]
Step 3
Factor the perfect square trinomial on the left side:
[tex]\implies (x+14)^2=207[/tex]
We have now completed the square and can go onto solving the equation.
Therefore, 196 must be added to both sides of the equation to complete the square.
Write the product in standard form. (2 + 3i)(2 - i)
Answers
9514 1404 393
Answer:
7 +4i
Step-by-step explanation:
(2 +3i)(2 -i) = 2(2 -i) +3i(2 -i) = 4 -2i +6i +3 = 7 +4i
_____
i = √-1, so i^2 = -1. Otherwise the product is identical to what you would get if "i" were a variable.
Zoey bought a new skateboard that cost 36.79. How much change should she get if she paid for the skateboard with two 20 bills
Answers
Answer:
4 dollars and something back
Step-by-step explanation:
Hi there!
»»————- ★ ————-««
I believe your answer is:
$3.21
»»————- ★ ————-««
Here’s why:
Zoey bought a $36.79 skateboard and paid for it with two $20 bills. This means that Zoey paid $40 in total.⸻⸻⸻⸻
[tex]40.00-36.79=\boxed{3.21}[/tex]
⸻⸻⸻⸻
She should get $3.21 as her change.
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
How many small squares in this rectangle should be shaded to represent
5 of
I
Answers
Answer:
Where's the picture
Step-by-step explanation:
The picture...
Find the area of the composite/irregular figure. Use 3.14 for pi.
PLEASE SHOW WORK/EXPLANATION FOR BRAINLIEST
Answers
explanation: separate into rectangle and semi circle. you can find out the diameter and radius of the semi circle by subtracting the 6 from the top from the 16 of the bottom because the diameter of the circle plus the 6 take up the same length.
16 - 6 = 10
for radius divide by 2
10 / 2 = 5
area of rectangle: l x w
16 x 7 = 112
area of semi circle: 1/2(pi)r^2
1/2(3.14)5^25 = 39.25
add up the two areas to find the area of the entire figure
112 + 39.25 = 151.25
Answer:
151.25cm
Step-by-step explanation:
First split the the shape into two, a rectangle and a semicircle.
Let's begin with the rectangle. The formula for the area of a rectangle is
A = l × w
A = 16 × 7
A = 112
Now we move onto the semicircle. We know that the length of the long side of the rectangle is 16. Because of the markings, we know that the missing portion of the 6cm line is 16 as well. That means that we would do 16 - 6 to find that small missing length. It gives us 10cm which will act as the diameter for the semicircle.
The formula for the area of a semicircle is
A = [tex]\frac{\pi r^{2} }{2}[/tex] (fill in what you know)
A = [tex]\frac{3.14 (5^{2} )}{2}[/tex] (The radius is half the diameter. So 10 ÷ 2 = 5)
A = [tex]\frac{3.14(25)}{2}[/tex] (Solve what's in the parentheses first)
A = [tex]\frac{78.5}{2}[/tex] (multiply pi and 25)
A = 39.25
Now all we have to do is add the two areas to get the combined area of the whole.
A = 112 + 39.25
A = 151.25
Which step can you use to solve the equation c-7 = 13 for c?
A. Add 7 to both sides of the equation.
B. Subtract 7 from both sides of the equation.
C. Multiply both sides of the equation by 7.
D. Divide both sides of the equation by 7.
Answers
Hi there!
»»————- ★ ————-««
I believe your answer is:
A. Add 7 to both sides of the equation.
»»————- ★ ————-««
Here’s why:
To solve for a variable we need to use inverse operations to 'undo' a value. We would do this on both sides for the equation to remain balance.The opposite of subtraction is addition, so we would add 7 to both sides of the equation to solve for c.⸻⸻⸻⸻
[tex]\boxed{\text{Calculating the Answer...}}\\\\c - 7 = 13\\---------\\\rightarrow c - 7 + 7 = 13 + 7\\\\\rightarrow \boxed{c=20}[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
Hey there!
Since the given equation is subtracting, we're going to do the opposite of s traction which addition; whereas addition opposite is subtraction, division is multiplication, and multiplication is division. Now that we got that information out the way, we can finally answer your question
The very first step to solving c - 7 = 13 is ADDING 7 to BOTH SIDES because it is the opposite of subtracting
Answer you're looking for: Option A. Add 7 to both sides of the equation
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
write the number sentence as an inequality: a number n is greater than 1
ill give brainlyiest
Answers
Answer:
n > 1
Step-by-step explanation:
A boat heading out to sea starts out at Point A, at a horizontal distance of 819 feet from a lighthouse/the shore. From that point, the boat’s crew measures the angle of elevation to the lighthouse’s beacon-light from that point to be 14∘ . At some later time, the crew measures the angle of elevation from point B to be 7∘ . Find the distance from point A to point B. Round your answer to the nearest foot if necessary.
Answers
Answer:
[tex]844\:\text{ft}[/tex]
Step-by-step explanation:
I've created a diagram and added steps on GeoGebra for reference. Please refer to the diagram below:
In any right triangle, the tangent of an angle is equal to its opposite side divided by its adjacent side (o/a).
Therefore, we have the two equations:
[tex]\begin{cases}\tan 14^{\circ}=\frac{h}{819}\\\tan 7^{\circ}=\frac{h}{819+x}\end{cases}[/tex]
Because [tex]h=h[/tex] (reflexive property), we have:
[tex]819\tan 14^{\circ}=\tan 7^{\circ}(819+x)[/tex]
Isolating and solving for [tex]x[/tex]:
[tex]\frac{819+x}{819}=\frac{\tan 14^{\circ}}{\tan 7^{\circ}},\\\\1+\frac{x}{819}=\frac{\tan 14^{\circ}}{\tan 7^{\circ}},\\\\\frac{x}{819}=\frac{\tan 14^{\circ}}{\tan 7^{\circ}}-1,\\\\x=819(\tan 14^{\circ}\cot 7^{\circ}-1),\\\\x=844.07256243\approx \boxed{844\text{ ft}}[/tex]
solve for y in y/4 =-7
Answers
Answer:
y = -28
Step-by-step explanation:
y/4 =-7
Multiply each side by 4
y/4 *4 =-7*4
y = -28
Answer:
-28
Step-by-step explanation:
y/4=-7
multiply by 4 on but sides
y = -7(4)
y = -28
The following stem-and-leaf plot represents the times in minutes required for 26 co-workers to commute to work. Use the data provided to find the quartiles. Commute Times in Minutes Stem Leaves 2 1 3 5 5 5 8 3 1 5 6 7 8 9 4 2 3 4 6 6 6 8 5 2 2 4 5 7 7 8 Key: 2|1
Answers
Answer:
Q1 = 30.25 minutes
Q2 = 42.5 minutes
Q3 = 40 minutes
Step-by-step explanation:
Given, In Question
The stem and leaf diagram (key 2 I 1)Stem | Leaves
2 | 1 3 5 5 5 8
3 | 1 5 6 7 8 9
4 | 2 3 4 6 6 6 8
5 | 2 2 4 5 7 7 8
We need to find the quartiles Q1, Q2 and Q3. We know that,Q1 = (1/4)*(n+1)th value
Q2 = (1/2)*(n+1)th value
Q3 = (3/4)*(n+1)th value
where n is the total number of co-workers 26.
So, Q1 = (1/4)*(26+1)th valueQ1 = 6.75th value
we need to count the leaves in the plot starting from the first one until we reach the 6.75th value. So, by counting, we conclude that the 6.75th value lies between the 6th and 7th value i.e. 28 and 31.
Q1 = 28 + (31-28)*0.75
= 28 + 2.25
Q1 = 30.25 minutes
Now, Q2 = (1/2) * (26+1)th value
= 13.5th value.
From the plot, we find that the 13.5th value lies in the middle of the 13th and 14th values i.e. 42 and 43. So,
Q2 = (42+43)/2
= 85/2
Q2 = 42.5 minutes
And, Q3 = (3/4)*(26+1)th value
= 20.25th value
From the plot. we find that the 20.25th value lies somewhere between the 20th and 21st value i.e. 52 and 52. So,
Q3 = 40 + (52-52)*0.25
= 40 + 0
Q3 = 40 minutes
Write the equation of a straight line that passes through the point (3,1) and is parallel to the line y=2x-1
Answers
Answer:
Step-by-step explanation:The new line will be parallel to the line represented by y =2x +2
The equation y = 2x + 2 is written in slope- intercept form (i.e. y=mx + b) where m represents the slope. So the slope of this line is 2. A line parallel to y = 2x + 2 will have the same slope. This means the slope of the new line will also be 2.
To determine the equation of the new line, we can use the given point to find the y intercept of the new line:
y = 2x + b
Use x = -1 and y =3 to find b (or the y intercept ) of the new line:
3 = 2 * (-1) + b
3= -2 + b
b=5
Therefore, the equation of the line passing thru (-1,3) with the same slope as that of y = 2x + 2 will be:
y = 2x + 5
Upvote
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1
Arjun’s family is traveling in a car at a constant speed of `65` miles per hour. At that speed, 200
Answers
Answer:
speed=200 m/s
Step-by-step explanation:
A T-shirt stand on the boardwalk recently sold 6 purple shirts and 9 shirts in other colors. What is the experimental probability that the next shirt sold will be purple?
Answers
Answer:
2/5.
Step-by-step explanation:
To find the denominator, you add all of the times the experiment has been done.
6 + 9 = 15.
Then, since they're asking about purple shirts, you put that as the numerator.
Making it 6/15.
To simplify, divide both sides by 3, making it 2/5 simplified.
The solution is, 2/5 is the experimental probability that the next shirt sold will be purple.
What is probability?Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.
here, we have,
To find the denominator, you add all of the times the experiment has been done.
6 + 9 = 15.
Then, since they're asking about purple shirts, you put that as the numerator.
Making it 6/15.
To simplify, divide both sides by 3, making it 2/5 simplified.
Hence, The solution is, 2/5 is the experimental probability that the next shirt sold will be purple.
To learn more on probability click:
brainly.com/question/11234923
#SPJ3
The City Sights tour company had the same ratio of tourists to guide on both days this weekend.On Saturday,there were 120 tourists and 18 guides.On Sunday,there were 40 tourists.How many guides were there on Sunday?
Answers
Answer: There were 6 guides on Sunday.
Step-by-step explanation:
I suppose that this is a question about equivalent ratios:
It is said that the company had the same ratio of tourists to guides on Saturday and Sunday.
RATIO OF TOURISTS TO GUIDES:
SATURDAY: 120 : 18
SUNDAY: 40 : ?
Divide 120 by 40:
120/40 = 3
Divide 18 by 3:
18/3 = 6
Therefore:
SAT: 120 : 18
SUN: 40 : 6
Check it by multiplying both numbers in the ratio 40 : 6 by 3:
40 • 3 : 6 • 3
= 120 : 18
(You get the ratio from Saturday)
Hope this helps!
Solve for the value of X pleassee
Answers
Answer:
188
Step-by-step explanation:
SR and ST are equal in length so the arc SR and arc ST also have same measurement
since the perimeter of the circle is equal to 360 and arc RT is given as 64
x = (360 - 64) / 2
x = 188
What is the value of x?
Answers
Answer:
80°
Step-by-step explanation:
Central Angles and the Arc they create are equal
Determine the radius of a cone that has a volume of 155.521 cubic inches and a height of 9 inches.
Answers
Answer:The answer is 4.06
Step-by-step explanation:
Okay I am 98% sure my math could be wrong since I don’t know what the possible answers to the question are but this is what I got.
Please help me in this question.
Answers
Answer:
a) 24
b) 63
c) 2
d) -2
Step-by-step explanation:
you are supposed to try different numbers, but...
X-9 = 15 add 9 to both sides
X = 24
7x/9 = 49 multiply both sides by 9
7x = 441 divide by 7
x = 63
3(x + 6) = 24 divide both sides by 3
(x + 6) = 8 subtract 6 from both sides
X = 2
11x + 2 = -20 subtract 2 from both sides
11x = -22 divide both sides by 11
X = -2
In which function is x = 2 mapped to 32 ?
Answers
Answer:
Option 2 is the correct answer
[tex]g(x) = 4 {(x + 3)}^{2} - 68 [/tex]
Step-by-step explanation:
[tex]g(x) = 4 {(x + 3)}^{2} - 68 \\ \\ \because \: g(2) = 4 {(2 + 3)}^{2} - 68 \\ = 4 {(5)}^{2} - 68 \\ = 4(25) - 68 \\ = 100 - 68 \\ = 32[/tex]
Answer:
option b
Step-by-step explanation:
See image below:)
FYI you can use the app photo math, you just take a pic of the problem and it gives you the answer and explains the steps and it is free.
regina walked 1/6 of a mile each day for 8 days. how many miles did she walk in all
HELP PLS
Answers
LAST ONE, ON A TIMER. Find the zeros of the function and write in a + bi form.
-(x+1)^2-4=0
Answers
Answer:
Option DStep-by-step explanation:
-(x+1)²- 4 = 0(x+1)² = - 4 x + 1 = ± √-4x = -1 ± 2iCorrect choice is D
Answer:
D
Step-by-step explanation:
Given
- (x + 1)² - 4 = 0 ( add 4 to both sides )
- (x + 1)² = 4 ( multiply both sides by - 1 )
(x + 1)² = - 4 ( take the square root of both sides )
x + 1 = ± [tex]\sqrt{-4}[/tex] = ± 2i ( subtract 1 from both sides )
x = - 1 ± 2i , then
x = - 1 + 2i, x = - 1 - 2i → D
3. a trader sold an article at a discount of
18% for GHC828.00. If the article
was initially marked to gain 25%
profit, find the:
a) cost price of the article
b) discount allowed.
Answers
Answer:
GHC757.317
GHC181.756
Step-by-step explanation:
Given that :
Discount on sale = 18%
Sale price at 18% discount = 828
828 = 100% - 18%
828 = 82%
The cost at 100% can be represented as :
828 = 0.82
x = 1
Cross multiply :
828 = 0.82x
x = 828 / 0.82
x = 1009.7560
The price 1009.7560 includes a marked gain of 25% ; Hence, cost price of the article is :
(100 - 25)% * 1009.7560
0.75 * 1009.7560
= GHC757.317
Discount allowed :
1009.7560 - 828
= GHC181.756
Use law of sines or law of cosines to find the length of side AB Please show work !!
Answers
Answer:
[tex]AB = 11.3[/tex]
Step-by-step explanation:
Given
The attached triangle
Required
Length AB
To do this, we make use of sine law which is represented as:
[tex]\frac{a}{\sin(a)} = \frac{b}{\sin(b)} = \frac{c}{\sin(c)}[/tex]
So, we have:
[tex]\frac{15}{\sin(70)} = \frac{AB}{\sin(45)}[/tex]
Make AB the subject
[tex]AB = \frac{15}{\sin(70)} * \sin(45)[/tex]
[tex]AB = \frac{15}{0.9397} *0.7071[/tex]
[tex]AB = 11.3[/tex]
the ratio equivalent to 3:4.
Answers
Answer:
33:44
Step-by-step explanation:
4*11=44
3*11=33
PLEASE HELP!!!
In 1994, the city of Amuel had a population of 1,256 people. That same year a factory opened near the town, and many people moved into the city limits. The population grew to 1,381 people in 1995, and in 1996 the population of Amuel reached 1,519 people. Assume this rate of growth continued until the factory closed in 2007. How many people were living in Amuel when the factory closed? Explain. Round to the nearest whole number, if needed.
Answers
Answer:
Step-by-step explanation:
so if in 1994 it was = 1,256
1995 = 1256 + x = 1,381 {x is 125}
1996 = 1381 + x = 1,519 {x is 138}
2007 = it is eleven years from 1996 to 2007 so take the average of the both digits which we will find through adding both the x quantities and dividing it with 2 the answer is 131.5. back to 2007, so multiply 11 with 131.5 which is 1,446.5. now add 1,446.5 to 1519
and the answer is 2,965.5.
hope it helps
The ___ is the center of mass of the triangle.
A. median
B. midpoint
C. orthocenter
D. centroid
Answers
Answer:D.CENTROID
Step-by-step explanation: THE ONLY CORRECT ANSWER IS CENTROID
Which function of x has a y-intercept of -5?
Answers
Answer:
[tex]y = - 3x - 5 \\ c = - 5[/tex]
Find the area of this circle.
Answers
Answer:
not sure man... goodluck tho
Answer:
Step-by-step explanation:
diameter=12 cm
radius r=12/2=6 cm
area A=πr²=3(6)²=108 cm²
1) Express the following in exponential form:
b)1800
Answers
Answer:
1.8*10^3
Step-by-step explanation:
Exponential form should always be between 1 - 10. If you place the decimal point 3 places to the left, The power of 10 would be 3.
Function limits:
Exercise approximation method
Answers
9514 1404 393
Answer:
A. 2
B. 6
Step-by-step explanation:
The attachment shows the table of values for exercises A and B.
A spreadsheet is also a useful tool for repeated function evaluation. Most spreadsheets carry about 16 significant digits, so can give good approximations down to very small differences from the limit value.
__
Additional comment
Here, the function simplifies to ...
f(x) = (2x)(x -1)/(x -1) = 2x
The simplified function can be evaluated directly at the limit value of x, with no approximation needed.
