Answers
Given:
A line passes through the points (9,9) and [tex](x_2,-1)[/tex].
The slope of the line is [tex]\dfrac{5}{6}[/tex].
To find:
The value of [tex]x_2][/tex].
Solution:
Slope formula:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
The line passes through the points (9,9) and [tex](x_2,-1)[/tex]. So, the slope of the line is:
[tex]m=\dfrac{-1-9}{x_2-9}[/tex]
[tex]m=\dfrac{-10}{x_2-9}[/tex]
It is given that the slope of the line is [tex]\dfrac{5}{6}[/tex].
[tex]\dfrac{5}{6}=\dfrac{-10}{x_2-9}[/tex]
[tex]5(x_2-9)=-10(6)[/tex]
[tex]5x_2-45=-60[/tex]
[tex]5x_2=-60+45[/tex]
[tex]5x_2=-15[/tex]
Divide both sides by 5.
[tex]x_2=-\dfrac{15}{5}[/tex]
[tex]x_2=-3[/tex]
Therefore, the value of [tex]x_2[/tex] is [tex]-3[/tex].
Related Questions
WILL MARK BRAINLIEST IF GOTTEN RIGHT
Answers
Solution: 20 ft
Answer:
20 ft.
Step-by-step explanation:
Diameter is length across the circle/ across the middle
GO GO GO
<3
Order the numbers from least to greatest.
LEAST
1
8
= 0.13
= 0.12222...
12.7%
Answers
What is the difference between a trapezoid and a rhombus?
A) A trapezoid is a parallelogram and a rhombus is not.
B) A rhombus always has 4 equal sides and a trapezoid does not.
C) A rhombus always has 4 right angles and a trapezoid does not have to.
Eliminate
D) A rhombus never has 2 sets of parallel sides and a trapezoid always does.
Answers
what is the inequality for more than 100,000
Answers
Answer:
>100,000
Step-by-step explanation:
is 8/28 proportional to 2/7
Answers
Yes
Both of them reduced is 0.2857
The food bank received a large 49 pound bag of potatoes that they would 2 points
like to share with several families. Each family will receive 3.5 lbs. How
many portions can they make from this bag? Choose all the equations that
can represent this situation.
Answers
Answer:
14 portion
Step-by-step explanation:
Given:
Total mass of potatoes = 49 pound
Mass of each small bag = 3.5 pound
Find:
Total number of bags
Computation:
Total number of bags = Total mass of potatoes / Mass of each small bag
Total number of bags = 49 / 3.5
Total number of bags = 14 bags
Total 14 portion can me made from big bag
Five years ago today, Artie was four times as old as his sister Carrie. In five years time, Artie will be twice as old as Carrie. Find their current ages using a system of linear equations.
Answers
Answer: 25 , 10 years
Step-by-step explanation:
Suppose the present age of Artie and Carrie is x and y
According to the question, 5 years ago
[tex]\Rightarrow x-5=4(y-5)\\\Rightarrow x-4y=-15\quad \ldots(i)\\[/tex]
In five year time
[tex]\Rightarrow x+5=2(y+5)\\\Rightarrow x-2y=5\quad \ldots(ii)[/tex]
Solving (i) and (ii) we get
[tex]x=25,y=10[/tex]
The current age of Artie and Carrie is 25 and 10 years
What is the perimeter of this polygon? Someone please help will mark brainliest
Answers
WILL MAKR BRAINLIEST IF GOTTEN RIGHT
Answers
Answer:
20 feet
Step-by-step explanation:
20 feet
because the diagram said so....
soccer is played on a rectangular field that is ususally 120 yard long and 75 yard long wide. find the perimeter and are the of the soccer field
Answers
Answer:211
Step-by-step explanation:you figure out you height by division and add that 120+75+16 and that’s 211 we learning that in school
What is the positive square root of 16?
Answers
Answer:
4
Step-by-step explanation:
because The square root of 16 is 4, which is a rational number.
Answer:
4
Step-by-step explanation:
Carol has 88cm of string and cuts it in the ratio 5 : 6. How much longer is the
longest piece compared to the shortest piece
Answers
Given:
Carol has 88cm of string and cuts it in the ratio 5 : 6.
To find:
How much longer is the longest piece compared to the shortest piece.
Solution:
Let the lengths of two pieces of string are 5x and 6x. Then,
[tex]5x+6x=88[/tex]
[tex]11x=88[/tex]
[tex]x=\dfrac{88}{11}[/tex]
[tex]x=8[/tex]
Now, the lengths of pieces are:
[tex]5x=5(8)[/tex]
[tex]5x=40[/tex]
And,
[tex]6x=6(8)[/tex]
[tex]6x=48[/tex]
The difference between the longer piece and shorter piece is:
[tex]48-40=8[/tex]
Therefore, the longer piece is 8 m longer than the shorter piece.
The sum of two numbers is 54 and the difference is 8. What are the numbers?
Answers
Answer:
23 and 31 are the numbers you are searching for.
Step-by-step explanation:
23 + 31 = 54
31 - 23 = 8
Have a nice day!
Please help I will give you BRAINLIEST
Answers
Answer:
5x² - 10x + 4
Step-by-step explanation:
11x² - 10x + 4 = 6x²
Subtract 6x² from both sides of the equation.
5x² - 10x + 4
A diver found a school of fish 85 feet below the surface of the ocean. He found coral 95 feet deeper than the fish. How many feet deep from the surface was the coral?
Answers
Answer:
180 feet
Step-by-step explanation:
85+95=180 because depth + depth.
The total deep 180 feet from the surface was the coral.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value. If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.
Given that diver found the school of fish 85 feet below the surface of the ocean. Which he found coral 95 feet deeper than the fish.
The total deep from the surface was the coral.
Therefore, it could be;
depth + depth.
85 + 95 = 180
Hence, the total deep 180 feet from the surface was the coral.
Learn more about the unitary method, please visit the link given below;
https://brainly.com/question/23423168
#SPJ2
Can someone plz help me with this Math problem and plz explain how you got your answers
Answers
Find the interquartile range (IQR) of the data in the dot plot below
Answers
Answer:
2 cm
Step-by-step explanation:
As we know, the iqr is found by subtracting Q3-Q1. So that means we need to find them first. Finding the median will help us accomplish this task. So when writing out the numbers to solve it 81,82,83,83,84,84,84,85 because the amount of data points are an even number, we will have two data points which will help us solve our median which in this case is where the 83 and 84 meet. Our median is thus 83+84/2 which is 83.5. Now look on both sides of the two numbers which make up our median. On either side of the 2 data points needed for the median, the is another 3 data points. To find your q1 and q3, you need to find the median of these numbers. For Q1 look for the median between the numbers 81,82,83 and for Q3, look for the median in the numbers 84,84,85. So, knowing this information, our Q1 value is 82 and our Q3 value is 84. So..... input these into the equation we have up top which is Q3-Q1=IQR so...... 84-82=IQR, thus, our IQR is 2.
Solve the following system of equations using Substitution, showing all work.
2x+y=9
3x−2y=17
Answers
Answer:
(x,y)=(5,-1)
Step-by-step explanation:
1. 2x+y=9 ---> y=9-2x
2. Substitute y=9-2x into 3x-2y=17 ---> 3x-2(9-2x)=17 ---> 3x-18+4x=17 --> 7x=35 ---> x=5.
3. Substitute x=5 into 2x+y=9 ---> 2*5+y=9 ---> y=9-10 ---> y= -1
A nickel has a mass of 5 grams. What is the mass of the nickel in milligrams?
Answers
Answer:
5,000 milligrams
Step-by-step explanation:
Know That One 1 gram equals = 1,000 milligrams
Hope this Helps!
What expression is equivalent to (5x6)x(3x2)
Answers
(5x6)x(3x2) = (30x6)= 180
Shawna is a member of the swim team. She can swim 3 laps in 3 minutes
and 21 seconds. If Shawna swims at the same pace, how long would it take
her to swim 8 laps?
Plzz show work
Answers
Answer:
8 mins 56 secs
Step-by-step explanation:
3 minutes and 21 seconds divided by 3 laps is 1.07 so it takes her 1 minute and 0.7 sec for each lap then u just multuply 1.07 by 8 and u get 8.56 meaning 8 mins and 56 secs. hope i helped :)
PLEASE HELP ASAPPP!!!
Answers
Step-by-step explanation:
hope it helps you......
A triangles angles add up to 180 degrees.
52+78=130
180-130=50
Angle m = 50 degrees
A watering can contained 5 ½ quarts water. After all the plants were watered, only 4 cups remained.
How many cups of water were used to water the plants?
7 cups
18 cups
40 cups
84 cups
Answers
Answer: 18 cups
Step-by-step explanation:
Answer:
the answer is 18 cups :))
What is the circumference of a circle with a radius of 3 3/4mm
Answers
Answer:
23.56mm
Step-by-step explanation:
Circumference = 2 * pi *r = 2*pi* (3.75mm)
Answer: 23.56mm
A banner measures 5,4 feet long,
How long does the banner measure in inchos and in yards?
Enter your answers in the boxes,
5.4 ft =
in
Answers
Answer:
5.4 feet
1/1 yards
5.4 feet
Step-by-step explanation:
remember=3 feet 1 yard !!
Answer:3 feet 1 yard
Step-by-step explanation: it just is
one package of strawberries costs $4.50 how many will 3 packages cost?
if you can please show your work:)
Answers
I think you have to multiply them to get the answer $13.5
Find all of the missing angles, #1-22. pleasssseeee helpppppp
Answers
2 = 115
3 = 107
4 = 73
5 = 115
6 = 66
I’ll do the rest later
Water is filling a cylindrical water tank. As it is filled the radius of the tank expands at 0.2cm/s and the height decreases at the rate of 0.5cm/s. Find the rate at which the volume of the tank is changing at the instant the radius equals 1.8cm and height equals 65 cm. What is the volume of water at this point? Show all working. Volume, V, of the cylinder is given by V = ϖr2h.
Recall that V is a function of both r (radius of the cylinder) and h (the height of the cylinder). This is a partial differentiation problem. The volume is also changing with time.
Answers
Answer:
141.94 cm³/s
Step-by-step explanation:
Since the volume of the tank V = πr²h, and both the height and radius of the tank change with time, we find the rate of change of the volume with time, dV/dt from
dV/dt = dV//dr × dr/dt + dV/dh × dh/dt
where dV/dr = 2πrh, dr/dt = + 0.2 cm/s (since the radius of the tank expands), dV/dh = πr² and dh/dt = -0.5 cm/s (since the height of the tank decreases)
So,
dV/dt = dV/dr × dr/dt + dV/dh × dh/dt
dV/dt = 2πrh × + 0.2 cm/s + πr² × -0.5 cm/s
dV/dt = 0.4πrh cm/s - 0.5πr² cm/s
dV/dt = πr(0.4h - 0.5r) cm/s
We now find the rate at which the volume is changing when r = 1.8 cm and h = 65 cm.
So,
dV/dt = π(1.8 cm)(0.4 × 65 cm - 0.5 × 1.8 cm) cm/s
dV/dt = π(1.8 cm)(26 cm - 0.9 cm) cm/s
dV/dt = π(1.8 cm)(25.1 cm) cm/s
dV/dt = π(45.18 cm²) cm/s
dV/dt = 141.94 cm³/s
How much commission would a salesperson ear for selling a car that costs $29,389? He receives 16% commission on each sale.
Answers
Answer:
Commission on car = $4,702.24
Step-by-step explanation:
Given:
Sales price of car = $29,389
Commission on sale of car = 16% = 0.16
Find:
Commission on car
Computation:
Commission on car = Sales price of car x Commission on sale of car
Commission on car = 29,389 x 16%
Commission on car = 29,389 X 0.16
Commission on car = $4,702.24
Anyone know the answer? Correct gets Brainliest!
Answers
Answer:
Try posting another question with an image of the problem attached
Step-by-step explanation:
Answer:
What's the question
Step-by-step explanation: