Answer:
[tex]y=\frac{5}{6} x -5[/tex]
Step-by-step explanation:
Hi there!
We are given the points (6,0) and (0, -5), and we want to write the equation of the line containing those points in slope-intercept form
Slope-intercept form can be written as y=mx+b, where m is the slope and b is the y intercept
First, we need to find the slope of the line
The formula for the slope can be written as [tex]\frac{y_2-y_1}{x_2-x_1}[/tex], where [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] are points
We have everything we need to find the slope, but let's label the points to avoid confusion
[tex]x_1=6\\y_1=0\\x_2=0\\y_2=-5[/tex]
Now substitute these values into the formula
m=[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
m=[tex]\frac{-5-0}{0-6}[/tex]
Subtract
m=[tex]\frac{-5}{-6}[/tex]
Simplify
m=[tex]\frac{5}{6}[/tex]
The slope of the line is 5/6
Let's plug this value into the formula for the equation of the line in slope-intercept form.
We substitute 5/6 for m in y=mx+b:
y=[tex]\frac{5}{6}x+b[/tex]
Now we need to find b
As stated before, b is the y intercept, which is the value where the line hits the y axis. The value of x at the y intercept is 0.
One of the points we were given is actually the y intercept; that point is (0, -5); notice how the value of x in this point is 0
The value of b is the value of y in this point, which is -5 in this case.
Substitute -5 as b in the formula.
[tex]y=\frac{5}{6} x -5[/tex]
Hope this helps!
See more on this subject here (n.b. the answer uses a different way of solving): https://brainly.com/question/20891204
Larissa dives into a pool that is 8 feet deep. She touches the bottom of the pool with her hands 6 feet horizontally from the point at which she entered the water.
What is the approximate angle of elevation from the point on the bottom of the pool where she touched to her entry point?
36.9°
41.4°
48.6°
53.1°
Answer: 48.6°
Step-by-step explanation:
Angle of elevation = sin inverse (6/8)
= 48.6 degrees
Therefore, Option C is right answer
Help picture below problem 8
Solution :-
Here, we have been given that lines f and g are parallel. Thus, the angle measuring 135° and ∠2 are vertically opposite angles.
And we know that vertically opposite angles measure same. Thus,
∠2 = 135°
Hope that helps ~~~
How do I get the answer??
Answer:
4√10
Step-by-step explanation:
Hello!
Let's first simplify the radical.
We can do this by expanding the radical:
We need to pull out a perfect square factor to expand a radical and simplify it. In 45, we have 9 and 5 multiplied, and 9 is a perfect square.
Let's work with √45:
√45 can be written as √9 * √5 (using the rule √ab = √a * √b)√9 simplifies to 3, so it is 3√5Now we can simplify the operation in the parenthesis by combining like terms:
3√5 + √5√5 + √5 + √5 + √54√5Now using the same rule as above, we can multiply the values:
√2(4√5)4√10Your solution is 4√10
A manager drew this box-and-whisker plot to represent the ages of the company’s 240 employees. How many employees are younger than 42?
24
48
60
75
Answer:
its 60, need proof?
Step-by-step explanation:
Answer: 60
Step-by-step explanation: I took the test and got it right. Goodluck with the rest!
Liz flips a coin 60 times. The coin lands head up 24 times and tails up 36 times. The EXPERIMENTAL probability of the coin landing headS up is ___%.
Answer:
60%
Step-by-step explanation:
36= heads
36/60= 60%
Answer:
60x24x36=51,840%
Step-by-step explanation:
Today Zack sold twice as many bags of popcorn at the ball game as he sold last Saturday. In the 2 days he sold a total of 96 bags. Write a system of equations to determine s, the number of bags Zack sold last Saturday, and t, the number of bags he sold today?
Answer:
[tex]s=32\\t=64[/tex]
Zack sold 32 bags of popcorn last Saturday, and 64 bags of popcorn today.
Step-by-step explanation:
Start by determining what information the question gives us, and what we need to find.
Given:
Zack sold twice as many bags of popcorn as he sold last Saturday
He sold 96 bags altogether in the 2 days
Find:
s, number of bags he sold last Saturday
t, number of bags he sold today
Equation/System of Equations:
[tex]t=2s[/tex] (OR "number of bags he sold today = number of bags he sold last Saturday multiplied by 2, or twice the amount he sold last Saturday)
[tex]t+s=96[/tex] (OR "number of bags he sold today + number of bags he sold last Saturday is equivalent to the amount of bag he sold altogether which is 96 bags as given by the question)
Solve:
We can solve this system of equations using substitution. In this case, we can substitute "2s" for "t" into the second equation giving us...
[tex]2s+s=96\\3s=96[/tex]
Divide both sides by 3. Notice that the Division Property of Equality states that if you divide on side of the equation by something, you must divide the other side by the same quantity.
[tex]s=\frac{96}{3}\\s=32[/tex]
Substitute 32 in for "s" to solve for "t"...
[tex]t=2s\\t=2(32)\\t=64[/tex]
Answer:
Zack sold 32 bags of popcorn last Saturday, and 64 bags of popcorn today.
4 2/3 divided by 1 1/9
Answer:
4.2 or 21/5
Step-by-step explanation:
i used demos
Answer:
4 1/5
[tex]\frac{14 * 9}{3 * 10} = \frac{126}{30}~which~is~also~4\frac{1}{5}[/tex]
A trough contains a certain amount of sand. After Jamie used it to fill 2.4-kilogram bag, a 650- gram bowl, and a 3-kilogram, 125- gram pail, she realized she had a kilogram of sand left in the trough. How much sand was in the trough at first?Give your answer in grams, using a comma.
Explain how you got your answer
Answer:
7kg 275g
Step-by-step explanation:
hope this helps
Answer:
7kg 275g
Step-by-step explanation:
Add all of them together and then add what's left. Hope this helps! :)
Which of the following equations has no solution?
1: 3x=5
2: 5x+7=3
3: 4x=9x
4: x=x−2
Answer:
4
Step-by-step explanation:
3x = 5:
x = 1 ⅔
5x + 7 = 3
5x = 3- 7
5x = -4
x = -⅘
4x = 9x
9x - 4x = 0
5x = 0
x = 0 / 5
x = 0
x = x - 2:
x -x = -2
0 = -2?
Answer:
4
Step-by-step explanation:
Its because x=x-2 =-2 subtract x from both sides and you get 0 so theres no solution and you get -2
90 is the product of five and Diego’s age use a variable D to represent Diego’s age
Answer:
Deigo is 18years of age
explaination
[tex]5 \times d = 90 \\ 5 d = 90 \\ 5d \div 5 = 90 \div 5 \\ d = 18[/tex]
this is how to solve it.
enter the correct value in each box to write the equation of the trend line in slope-intercept form
Answer:
y = -3x +15
Step-by-step explanation:
(2,9) (4,3)
slope is -6/2 or -3
use slope intercept form to solve for y-intercept
y = mx + b
9 = (-3)(2) + b
9 = -6 + b
15 = b
y = -3x + 15
The volume of a bottle of water is 950 milliliters. What is the volume of 5 bottles in
Liters?
Answer:
the answer is 4,750
Step-by-step explanation:
just multiply 950x5
The volume of a cylinder is 81 pi in^3 and the height of the cylinder is 1 in. What is the radius of the cylinder
Answer:
18/20π
Step-by-step explanation:
81π ÷ 1 = 81π
81π ÷2 = 18/20π
You do this because the radius is half of the diameter and you need to get rid of the hight by dividing it from the volume.
What percent of 1/4 is 1/5
5%
16%
24%
80%
[tex]\text{Let it be x percent}\\ \\\dfrac 14 \times x\% = \dfrac 15\\\\\\\implies\dfrac 14 \times \dfrac x{100} = \dfrac 15\\ \\\\\implies x = \dfrac{400}{5} = 80\\\\\\\text{Hence the answer is}~ 80\%[/tex]
The difference is
Part B 287
Find the product of the expressions.
Answer:
12
Step-by-step explanation:
HELP 50pts!!!!!!!!!!
Answer:
2.5, which would be 2:30 hours
Step-by-step explanation:
time/distance:
22.5/9 = 2.5
9 x 2.5 = 22.5
so the answer is 2.5
Answer:
2.5 hours
Step-by-step explanation:
[tex]\sf time \ taken = \dfrac{distance}{speed}[/tex]
Here:
distance : 22.5 kmspeed : 9 km/hr[tex]\hookrightarrow \sf \dfrac{22.5}{9}[/tex]
[tex]\hookrightarrow \sf 2.5[/tex]
The roof of a tower in a castle is shaped like a cone. The height of the roof is 30 ft, and the radius of the base is 15 ft. What is the area of the roof? What is the lateral area of the roof?
Answer:
The area of the roof: ≈2287.44 ft^2, the lateral area of the roof:≈1580.58 ft^2
Step-by-step explanation:
The area of the roof is computed by the equation of the area of a cone:
A = πr(r + [tex]\sqrt{h^{2}+r^(2) }[/tex])
(r: radius, h: height, πr^2 is the area of the base of the cone, πr[tex]\sqrt{h^{2}+r^(2) }[/tex] is the lateral area of the cone). So:
A = [tex]15\pi (15 + \sqrt{30^{2} +15^{2} } )[/tex] ≈ 2287.44 ft^2.
As I stated earlier, the lateral area of the roof can be computed:
A[tex]L[/tex]=[tex]15\pi \sqrt{30^{2} +15^{2} }[/tex] ≈ 1580.58 ft^2.
NO LINKS!!
You want to make a banner that says HAPPY BIRTHDAY. You want the letters to be 3 inches high. You make a sketch of the banner with letters that are 2 inches high. The length of the phrase in your sketch is 20 inches long. What length of paper should you buy to make the banner?
Answer:
30 inches
Step-by-step explanation:
Assuming the banner you want is similar to the sketch you made, the length of the banner is 10 times the letter height.
For 3-inch letters, the banner length will be 30 inches.
Answer:
30 ft
Step-by-step explanation:
**According to the image of the banner, the banner should be 3 foot high (not 3 inches)**
Create a ratio of letter height to length of phrase for the sketch and the banner. Let x be the length of the banner.
NB There is no need to convert the measurements between inches and feet, since the letter height and length of phrase is measured in the same way for each banner.
Ratio: letter height : length of phrase
Sketch (in inches): 2 : 20
Banner (in feet): 3 : x
Equate the ratios and solve for x:
[tex]\sf \implies 2 : 20 = 3 : x[/tex]
[tex]\sf \implies \dfrac{2}{20}=\dfrac{3}{x}[/tex]
[tex]\sf \implies 2x=3 \cdot 20[/tex]
[tex]\sf \implies 2x=60[/tex]
[tex]\sf \implies x=\dfrac{60}{2}[/tex]
[tex]\sf \implies x=30[/tex]
Therefore the length of paper your should buy to make the banner is 30ft.
the ratio of the length to the width to the height of an open rectangular tank is 10:5:8. The height of the tank is 18 feet longr than the width. wat is the volume of the tank?
Answer:
4556.25
Step-by-step explanation:
10:5:8=x:y:18
18/8=2.25
x=2.25x10=22.5
y=2.25x5=11.25
11.25x22.5x18=4556.25
(01.02 LC)Simplify 5 − (−1). 6 −6 4 −4
Answer:
=57
Step-by-step explanation:
Multiply and divide left to right
then add and subtract left to right
Match each equation to the situation it represents.
Answer:
First one is 10x + 5 = 35
Second one is 5x + 10 = 35
Third one is 35x + 5 = 10
PLEASE EXPLAIN
Why is the unit in volume measured with units cubed instead of units squared?
Answer:
It's cubic because volume occupies a three dimensional space. Area is measured in a second unit of length
Step-by-step explanation:
Answer:
Volume is 3 dimensions
Step-by-step explanation:
Cubed is 3 dimensions: length, width, and height - like measuring how much water will fit in a cup. Squared is only 2 dimensions - like when you measure a piece of paper or a floor tile or a piece of fabric.
A building that is 150 ft tall casts a shadow of 20 feet long.
At the same time a tree casts a shadow of 2 ft. How tall is
the tree?
a. 15
b. 20
c. 25
d. 30
Answer:
a.15 feet
Step-by-step explanation:
150 divided by 20 is 7.5
7.5 times 2 is 15
Tim will buy a pair of shoes that cost $120.He received a 35% discount coupon. Luckily his friend Mario gets an additional 15% discount being an employee of the store. If Mario buys the shoes for Tim, how much will Mario pay if the tax is 8%? Round your answer to the nearest centavo
Answer:
$69.60
Step-by-step explanation:
Shannon has a paper cone filled with water. The cone has a diameter of 8 centimeters and a height of 9 centimeters. Select the containers that could hold all of the water in Shannon's paper cone
Find the highest common factor (HCF) of 270 and 450.
Answer:
HCF = 90
Step-by-step explanation:
Hope it Helps!!!
Q13
A man has a flight at 19:15 on Thursday. He must arrive at the airport 2 hours before this time to
check in.
He needs to know what time he should leave home.
He will park his car at the airport car park and it will take 15 minutes to get to the check in counter.
The distance from his house to the airport is 90 miles.
He will drive at an average of 60miles per hour.
Answer: around 6 or 5 o clock
Step-by-step explanation: hope this helps
Brainliest if correct
Answer:
correct answer here
Step-by-step explanation:
Arkansas is __________ of Oklahoma?
Answer:
East
Step-by-step explanation:
Arkansas is East of Oklahoma.
Refer to the image below:
Answer: East
Step-by-step explanation:
The equation is :
Answer x =
Answer:
4x-11=73,
x=21
Step-by-step explanation:
11 subtracted from means -11
four times a number means 4(x) because x is the number
is = equals
so
4x-11=73
+11 +11
4x=84
/4 /4
x=4