Write an equation of the line that passes through each pair of points.
[tex](5, 7), (-8, -4)[/tex]
, (-8, -4)[/tex]](https://brainimage.s3.us-east-005.backblazeb2.com/contents/attachments/RyDHX4ku9OWWAveSZHmARd5EJ6rl27KF.png)
Answers
Answer:
[tex]y = \frac{11}{13} x + 2 \frac{10}{13} [/tex]
Step-by-step explanation:
y= mx +c, where m is the slope and c is the y-intercept.
We need to find the value of m and c, which can be done by using the slope formula and by substituting a pair of coordinates respectively. Find m first before finding the value of c.
[tex]\boxed{ slope = \frac{y _{1} - y_2 }{x_1 - x_2} }[/tex]
[tex]slope = \frac{7 - ( - 4)}{5 - ( - 8)} [/tex]
[tex]slope = \frac{7 + 4}{5 + 8} [/tex]
[tex]slope = \frac{11}{13} [/tex]
Substitute the value of m into the equation:
[tex]y = \frac{11}{13} x + c[/tex]
Substitute a pair of coordinates:
When x= 5, y= 7,
[tex]7 = \frac{11}{13} (5) + c[/tex]
[tex]c = 7 - \frac{55}{13} [/tex]
[tex]c = \frac{91}{13} - \frac{55}{13} [/tex]
[tex]c = \frac{36}{13} [/tex]
[tex]c = 2 \frac{10}{13} [/tex]
Thus, the equation of the line is [tex]y = \frac{11}{13} x + 2 \frac{10}{13} [/tex].
, (-8, -4)[/tex]](https://brainimage.s3.us-east-005.backblazeb2.com/answers/attachments/RnmYKL8AQCvRCqLBkgZQ9NCDIUBZW1uV.jpeg)
Related Questions
Given m\parallel nm∥n, find the value of x and y.
Answers
Answer:
See below ↓↓
Step-by-step explanation:
Finding x
Both the angles containing the x variable are on the same side of the transversalThere is a property which states that : two angles on the same side of the transversal are supplementaryTherefore, they add up to 180°⇒ 8x + 12 + 2x + 18 = 180⇒ 10x + 30 = 180⇒ 10x = 150⇒ x = 15Finding y
The angles at the top are vertically opposite angles (VOA), meaning that they are equal⇒ 8x + 12 = 3y - 18⇒ 3y = 8(15) + 12 + 18⇒ 3y = 120 + 30⇒ 3y = 150⇒ y = 50Distrubtive property with variables KA 5 stars if answer is correct
Answers
Answer:
-8m + 24 - 32n
Step-by-step explanation:
-8 · m = -8m
-8 · -3 = 24
-8 · 4n = -32
Suppose the planned dimensions of a rectangular kitchen have a length-to-width ratio of 3 to 2. The length of the original kitchen is 6z feet. The original kitchen can be made larger by adding four feet to each original dimension. Write a polynomial expression that represents the floor area of the larger kitchen in square feet. Write your answer in standard form.
Answers
Answer:
150 sq. in.
Step-by-step explanation:
Because... Suppose the planned dimensions of a rectangular kitchen have a length-to-width ratio of 3 to 2. The length of the original kitchen is 6z feet. The original kitchen can be made larger by adding four feet to each original dimension. Write a polynomial expression that represents the floor area of the larger kitchen in square feet.
The polynomial expression that represents the floor area of the larger kitchen in square feet is 24z² + 40z + 16
What is Area of Rectangle?The area of Rectangle is length times of width.
The length-to-width ratio of the original rectangular kitchen is 3 to 2.
Let the width of the original kitchen "w".
Then the length of the original kitchen is length = 3/2×w
We are also told that the length of the original kitchen is 6z feet. We can use this information to solve for the width of the original kitchen:
6z = 3/2×w
w = 4z
So the width of the original kitchen is 4z feet.
To make the kitchen larger, we add four feet to each original dimension. The new length is:
length = 6z + 4 feet
width = 4z + 4 feet
Area = (6z + 4 feet) × (4z + 4 feet)
Multiplying out the terms, we get:
Area = 24z² + 40z + 16 square feet
Therefore, the polynomial expression that represents the floor area of the larger kitchen in square feet is 24z² + 40z + 16
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A certain fraction has a denominator of 8. It is less than 1/2 but
more than 1/4. What is the fraction?
Answers
Answer:
3/8
Step-by-step explanation:
4/8 is a half and 2/8 is a quarter, 3/8 is in between those 2 boundaries
1/2 =4/8
1/4 =2/8
KA- i can give 5 stars
Answers
Answer:
B and C
Step-by-step explanation:
Kitten:
2 times in the morning and 2 times in the evening = 4 times per day
That means Ariane feeds her kitten 4k grams of food per day.
Dog:
1 time in the morning and 1 time in the evening = 2 times per day
That means Ariane feeds her dog 2d grams of food per day.
Answer:
If you find the total, you have to add the kitten's food per day and the dog's food per day. That is 4k + 2d, which is the same as choice B.
We can break 4k into 2k + 2k. We can also break 2d into d + d. We can write that as 2k + 2k + d + d. That equals the same as choice C, making it a correct choice.
I hope this helps and please mark me as brainliest!
find the radius of the circle
Answers
Answer:
The answer is 6 cm
Step-by-step explanation:
Given;The diameter of the circle = 12 cm.To Find;Radius of the circle.Formula;Radius = Diameter ÷ 2Now,
Radius = Diameter ÷ 2
R = 12/2 = 6 cm
Thus, The radius of the circle is 6 cm.
Sophie Ruth is eating a 50-gram chocolate bar that contains 30%percent cocoa.
How many grams of cocoa is in the chocolate bar?
Answers
Answer: 15
Step-by-step explanation: im pretty sure its 15 cuz 30% of 50 = 0.3x50=15
There're 15 grams of cocoa in the chocolate bar
The dot plot shows the cost per bar of different brands of granola bars. A new brand of a granola bar is sold in packages of 6 for $2.52. Based on its cost per bar, how does the new brand of granola bars compare to the other brands?
Answer the questions with "Ture or false"
Answers
Solve the linear system
x+y=5
x-2y=-1
Find the ratio of the solution's y-coordinate to its x-coordinate.
Answers
Answer:
2:3
Step-by-step explanation:
x + y = 5 -----> y = 5 - x
x - 2y = -1
x - 2(5 - x) = -1
x - 10 + 2x = -1
3x - 10 = -1
3x = 9
x = 3
(3) + y = 5
y = 2
Solution to this system: (3,2)
Ratio of y to x = 2:3
Hope this helps!
Describe the relationships among the volumes of the solids. Which solid has the greatest volume? Which solid has the second greatest volume? Do any of the solids have the same volumes? Explain your reasoning. (Represent any volumes in terms of p.)
Answers
C and D, they have the same volume that is also the largest.
Food compound probability there are 2 pages
Answers
Answer:
now one will understand except you because you place the pictures where you cant see the first part
WILL CHOOSE BRAINLIEST!!! The oxford square is approximately 300 feet on each side. What is the length of the diagonal square?
Answers
Answer:
424 ft and 3 inches
Step-by-step explanation:
To calculate the diagonal of a square, multiply the length of the side by the square root of 2 --> d = a√2
a² + a² = diagonal²
diagonal = √(a² + a²) = √(2 x a²) which simplifies to diagonal = a√2
If area is given --> d = √(2*area)
Knowing square perimeter --> d = (perimeter/4)*√2
The first three terms of a geometric sequence are as follows.
Answers
Explanation: the patter is multiplying by 2, so next you’ll do 16 times 2=32 and 32 times 2=64
Please Give Brainliest!
A drawer contains 5 red socks, 9 white socks, and 6 blue socks. Without looking, you draw out a sock and then draw out a second sock without returning the first sock.
Find P(blue, then blue).
Your answer:
Answers
P = Number of favourable outcomes ÷ Sum of total outcomes
So, Probability of drawing a blue sock is
Number of blue socks ÷ Number of total socks
= 6 ÷ 20
= 3 ÷ 10
= 0.3
Now as we have drawn a sock already the total number of socks in the drawer are 19
So, the probability of drawing a blue sock now will be :
= 6 ÷ 19
= 0.31
Answer correctly for brainliest pleaseeee!!
Answers
Answer:
A. (x,y) → (-x,y)
Step-by-step explanation:
A: (-5,-1)
A': (5,1)
B: (-3, -3)
B': (3, -3)
C: (-5, -5)
C': (5, -5)
D: (-7, -3)
D': (7,-3)
The x values change sign but the y values don't.
Paul ate 7/9 of 1/6 of his birthday cake. Did Paul eat more or less than 7/9 of the cake? Did he eat more or less than 1/6 of the cake? i am wondering what OPERATION to use, I don't need the answer
Answers
Answer:
Multiplication.
Step-by-step explanation:
Multiply the two fractions together to get the fraction of the cake he actually ate. All the best. -Crispin
Which of the following inequalities is correct?
Answers
Answer:
the correct answer is A.
Step-by-step explanation:
-a is lower than -c
Answer:
I would say b is correct hopefully I pray that it is
Step-by-step explanation:
Help me and answer correctly please and I will mark you brainliest!!!
Answers
Answer:
D)rotation, reflection
Step-by-step explanation:
Rotation because the figure has rotated in a clockwise direction but since only rotation cannot be the correct answer, the figure has also been reflected after being rotated. Thus only option D is correct.
brainliest if it is right
Answers
You would use the formula 3.14r^2/2
Francisco had a rectangular piece of wrapping paper that was inches on two sides and 19 inches on the longer sides. Monica has a similar piece of paper with two longer sides that each measure 38 inches. What is the measurement of one of the two shorter sides in Monica's wrapping paper?
a)26 2/3
b)28 2/3
c) 29 1/3
d)57 1/3
Answers
Answer:
B:)
Step-by-step explanation:
the similar paper appears to be 2 times larger then Fransicos since 38/19=2, so I did 14 1/3*2 which equals 28 2/3, so the answer is B
The correct answer is B) 28 2/3
Please help! I’m not sure how to do this question in math… Thank you!
Answers
No, because 2 squared is 4. 2 squared times 2 squared is really 4 x 4, which is 16. The side length is 4 because the formula for area of a sqaure is length x width (4 x 4 = 16) or one side squared (4 squared which is 16).
hope this helped!
Graph the solution to this inequality on the number line.
1/4x − 2 < − 1 1/2
Answers
Answer:
Draw an open circle on 2 and continue the arrow left.
Step-by-step explanation:
Answer:
x < 2
Step-by-step explanation:
I HAVE ANOTHER CLASS TOMORROW AND NEED TO FINISH IT RIGHT NOW (MAYBE 20 MIN MAX) SOMEBODY PLEASE HELP, ME! ANY ANNOYING OR FAKE ANSWERS WILL BE REPORTED AND I AM NOT JOKING ABOUT THIS!
Answers
Answer:
69420
Step-by-step explanation:
3 x 7+x is 69420 so thats the answer ez
30 points for this question
Answers
The measure for x is 30 degree.
What is Linear Pair?A linear pair is a pair of adjacent angles formed when two lines intersect. The two angles of a linear pair are always supplementary, which means their measures add up to 180 degrees.
A linear pair's sum of two angles is always 180°.All neighbouring angles are linear pairs, however not all adjacent angles are linear pairs.A linear pair of angles has a shared vertex and an arm in common.They are always in a straight line.Given:
We have angles forms line are x, 120 and x.
So, x+ 120 + x = 180 (Linear pair)
2x+ 120 = 180
Now, Simplifying for x
Subtract 120 from both side we get
2x+ 120 - 120 = 180 - 120
2x = 60
Now, Divide both side by 2 we get
2x/ 2 = 60/ 2
x = 30
So, the measure of x is 30.
Learn more about Linear pair here:
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PLS HELP IS DUE TOMORROW
Answers
Answer:
12
Step-by-step explanation:
1:3
1×4:3×4
4:12
Thus, X=12
Your sock drawer contains 6 pairs of gray socks, 7 pairs of white socks, 4 pairs of black socks, and 4 pairs of beige socks. You choose a pair of socks from the drawer at random and then replace it. Then you choose a second pair of socks. Find P(white, then gray).
Answers
Answer:
33% and 29%
Step-by-step explanation:
6+7=
13+4=
17+4=
21
7/21=
33%
6/21=
29%
please help and give step by step explanation thank you
Answers
Answer:
x = 40
Step-by-step explanation:
(3x + 5) + (x + 15) = 180
3x + 5 + x + 15 = 180
4x + 20 = 180
-20 -20
4x = 160
÷4 ÷4
x = 40
I hope this helps!
50 POINTS GIVING BRAINLIEST
Draft a small paragraph Explaining the concept of ground speed and horizontal distance traveled or distance traveled over the earth. Consider in your description what information is needed to calculate distance traveled.
Answers
Answer:
miles to travel directly south = 54 miles (to the nearest mile)
extra miles = 68 miles (nearest mile)
Step-by-step explanation:
We need to find the height of the right triangle in the diagram.
To do this, use the sine trig ratio.
[tex]\sin(x)=\sf\dfrac{O}{H}[/tex]
where:
[tex]x[/tex] is the angleO is the side opposite the angleH is the hypotenuseGiven:
[tex]x[/tex] = 27°
O = height (h)
H = 120 miles
Substituting the given values into the formula:
[tex]\implies \sin(27^{\circ})=\sf\dfrac{h}{120}[/tex]
[tex]\implies \sf h=120 \sin(27^{\circ})[/tex]
[tex]\implies \sf h=54.47885997...[/tex]
Therefore, the shipmate will have to travel 54 miles (to the nearest mile) directly south.
To find the number of extra miles have been traveled, we first need to find the base length of the right triangle.
To do this, use the cos trig ratio.
[tex]\cos(x)=\sf\dfrac{A}{H}[/tex]
where:
[tex]x[/tex] is the angleA is the side adjacent the angleH is the hypotenuseGiven:
[tex]x[/tex] = 27°A = base (b)H = 120 milesSubstituting the given values into the formula:
[tex]\implies \cos(27^{\circ})=\sf\dfrac{b}{120}[/tex]
[tex]\implies \sf b=120 \cos(27^{\circ})[/tex]
[tex]\sf \implies b=106.9207829...[/tex]
Therefore, the base of the right triangle is 106.9207829... miles
To find the extra miles, sum the hypotenuse and the height of the triangle, then subtract the base.
Extra miles = (120 + 54.47885997... ) - 106.9207829...
= 67.55807707...
= 68 miles (nearest mile)
#1
Apply sines
sin27=Perpendicular/Hypotenuse0.45399=P/120P=120(0.45399)P=54.5ft#2
Total distance travelled =120+54.5=174.5ft
Base:-
cos27=B/1200.89=B/120B=120(0.89)B≈106ftExtra distance:-
174.5-10668.5ftI don’t understand this problem please help
Answers
Answer: Anika 7 par johan 8 par Seamus 9 par
Step-by-step explanation:
WILL CHOOSE BRAINLIEST!
Answers
use the y=mx+b formula