Equation of the line that passes through (-6,-5) and (-3,0)
Answer:
y=(5/3)x + 5
Step-by-step explanation:
Every line is in the form: y = ax+b. If some points are on this line, they satisfy this equation. So we can write:
-5 = a(-6) + b
0 = a(-3) + b
It's a system of equations. We can solve them by subtracting the second equation from the first:
-5-0 = -6a - (-3a) + b - b
That becomes:
-5 = -3a
Therefore:
a = 5/3
Now we plug this value in the second equation of the system, and find the value of b:
0 = 5/3*(-3) +b
b=5
The final line equation will be: y=(5/3)x + 5
y = [tex]\frac{5}{3}[/tex]x + 5
Explanation:First, find the slope. The formula to find slope can be defined as [tex]\frac{y_2-y_1}{x_2-x_1}[/tex].
Given points (-6, -5) and (-3, 0), we can substitute those values in and find that the slope for this line will be [tex]\frac{5}{3}[/tex].
Using slope-intercept form, our equation so far is y = [tex]\frac{5}{3}[/tex]x + b. To find b, we substitute the coordinates of any point and solve. Doing so gets us a value of 5 for b.
Therefore, our final answer is y = [tex]\frac{5}{3}[/tex]x + 5.
given that 3^y=243:find the value of y
Answer:
5
Step-by-step explanation:
So lets do this slowley
3x3=9
9x3=27
27x3=81
81x3=243
It took 5 threes or 3x3x3x3x3 to get 243
Answer:
y=81, try that for answer
I don’t understand this. Can I plz get some help
There are 3 right triangles in this picture, and they are all mutually similar.
• the smallest triangle has legs 4 and y, and hypotenuse z
• the middle one has legs y and 16, and hypotenuse x
• the largest one has legs z and x, and hypotenuse 16 + 4 = 20
Note the order in which I've listed the sides (shortest to longest). Because these triangles are similar, the corresponding sides occur in a fixed ratio. In particular, we have
4/y = y/16 = z/x … (ratios of each side of the smallest and middle triangles)
4/z = y/x = z/20 … (ratios of the sides of the smallest and largest triangles)
y/z = 16/x = x/20 … (ratios of the sides of the middle and largest triangles)
We just want to find x, which we can do easily with the last equality,
16/x = x/20
Solve for x :
20 • 16/x = 20 • x/20
320/x = x
x • 320/x = x • x
320 = x²
⇒ x = √320 = √(64 • 5) = 8√5
If a truck leaves on Friday traveling 55 mph and is able to travel 10 hours per day, how many miles will it have driven after Monday?
Which equation represents the relationship in the table?
y= 14 - 5
y = 2 + 14
Х
y
y= 14 - 3
0
14
1
9
2
4
y = 14 - 52
3
-1
please please look at the picture and see if you can help!!!! i’m struggling so badly!
Need the answer right now please help meeeeeeee
answer
2.5
Step-by-step explanation:
that is what I got so
45 + 30 = 100 - w
Answer:
Explanation:
Answer:
w = 25
Step-by-step explanation:
45+30 = 100 - w75 = 100 - ww = 100 - 75w = 25WHO CAN HELP ME ON THIS? Due soon!
Eight children can fold 5 paper cranes in 6 minutes.
(i) How long will it take 36 children to fold 120 paper cranes?
How to solve this guys..:< Show solution guys pls.. (3/7)(3/7)
Answer:
[tex] \frac{3}{7} \times \frac{3}{7} = \frac{9}{49 } [/tex]
Please help me with this
1/3(1/6 + 5/12) - 1/36
Answer:
1/6
Step-by-step explanation:
Apply the distributive property.
1/3 x 1/6 = 2/36
1/3 x 5/12 = 5/36
Add the products.
2/36 + 5/36 = 7/36
Subtract the result by the 1/36.
7/36 - 1/36 = 6/36
Simplify the fraction.
6/36 = 1/6
-hope it helps
What is the solution to the following system 3x+3y+6z=9
Answer:
x=1 y=1 z=1
Step-by-step explanation:
3+3+3=9
and
3x+3y+3z=9
A new health drink has 180% of the recommended daily allowance (RDA) for a certain vitamin. The RDA for this vitamin is 20 mg. How many milligrams of the vitamin are in the drink?
Multiply the percentage by the allowable amount:
180% = 1.80
20 x 1.80 = 36
Answer: 36 mg
6 less than the quotient of y and 5.
Answer:
(y/5)-6
Step-by-step explanation:
quotient is dividing, less than is subtracting
Please help me on this question!
-8 to 8
Step-by-step explanation:
f(x) is the same as y when discussing functions. Therefore we look for the places where the line is above or touching the x axis
The written price of a shirt is Rs. 275. If 15% rebate is given
on the written price, what will a customer pay?
Please answer in the simpliest way
Based on the cost of the shirt and the rebate applied, the customer would pay Rs. 233.75
A rebate is a discount on the price of a good so the shirt will be discounted by 15%.
= 275 x 15%
= Rs. 41.25
The price the customer will pay is therefore:
= Cost of shirt - Discount
= 275 - 41.25
= Rs. 233.75
In conclusion, the customer will pay Rs. 233.75
Find out more on discounts at https://brainly.com/question/889098.
Dividing 3/5 into what number gives you 20
Answer:
12
Step-by-step explanation:
Set up equation like this with x being the number
X / (3/5) = 20
X * (5/3) = 20
so multiply both sides by 3/5 so
X = 20 (3/5)
therefore,
X = 12
we can check to make sure this is right by plugging it back in:
12 / (3/5) = 20 so it is true
I NEED ANSWER NOW PLEASE TELL ME HOW YOU GOT THE ANSWER PLEASE NO LINKS ITS DUE IN 10 MINS!
Answer:
644.972
Step-by-step explanation:
6x100=600
4x10=40
4x1=4
9x(1/10)=0.9
7x(1/100)=0.07
2x(1/1000)=0.002
add all of these values up. hope this helps!
Solve the pair of simultaneous equations
x = 4 - y
x = y + 2
(3,1)
x=3; y=1
Step-by-step explanation:
Algebraic
Answer:
The solution to this system of linear equations is (3, 1).
Step-by-step explanation:
Here we have two equations for x. We can eliminate x by setting these two equations equal to one another, obtaining 4 - y = y + 2, or 2 = 2y
Then y must be 1. Substituting this into the first equation, we get x = 4 - 1 = 3.
The solution to this system of linear equations is (3, 1).
How to solve 9/11 * —- = 3/4
Answer: 9/11 diveded by 3/4
Step-by-step explanation: divde to get middle answer
The linear parent function, f(x) = x, was transformed to create a graph g(x) = f(x + 4).
Which statement about the graphs is true?
O The graph of fis steeper than the graph of g.
O The graph of fis shifted 4 units left to create the graph of g.
O The graph of fis less steep than the graph of g.
O The graph of fis shifted 4 units right to create the graph of g.
Answer:
2nd option
Step-by-step explanation:
Given f(x) then the graph of f(x + a) is a horizontal translation of f(x)
• If a > 0 then a shift left of a units
• If a < 0 then a shift right of a units
g(x) = f(x + 4)
Is the graph of f(x) shifted 4 units to the left
The recipe for Nestle Tollhouse Chocolate Chip Cookies calls for 2
2
cups of chocolate chips to make 5
5
dozen cookies. If you want to bake 9
9
dozen cookies, how many cups of chocolate do you need?
Answer:
6 cups of chocolate chips
Step-by-step explanation:
2:5 5+4=9 so add 4 to each side of the ratio
6:4
What is the equation 5x+6y=18 equal
Answer:
y = -5/6x + 3
Step-by-step explanation:
The point S(0,–2) is translated 4 units left. What are the coordinates of the resulting point, S'?
S(0,-2)
Translated 4 units left means y coordinate is kept constant.x coordinate is decreased by 4i.e
[tex]\\ \sf{:}\Rrightarrow 0-4=-4[/tex]
New co-ordinates are
(-4,-2)Which expression is equivalent to
(5x10^-3+(6x10)^3
2.2x10^4
A. 5 x 10
B. 5 x 101
C. 5 x 10-10
D. 5 x 107
Answer:b
Step-by-step explanation:
the heights of two cylinders are in the ratio of 5:3 and their volume are in the ratio 20:27. then the ratio of their radius is...... ?
plz its urgent
Answer:
The ratio of their radius is [tex]2:3[/tex]
Step-by-step explanation:
Volume of cylinder is [tex]\pi r^2h[/tex], where r is radius and h is height
We have
The heights of two cylinders are in the ratio of [tex]5:3[/tex]
[tex]\frac{h_1}{h_2} =\frac{5}{3}[/tex]
The volume are in the ratio [tex]20:27[/tex]
[tex]\frac{V_1}{V_2} =\frac{20}{27}\\\\\frac{\pi r_1^2h_1}{\pi r_2^2h_2} =\frac{20}{27}\\\\\frac{ r_1^2}{ r_2^2}\times \frac{3}{5} =\frac{20}{27}\\\\\frac{ r_1^2}{ r_2^2} =\frac{4}{9}\\\\\frac{ r_1}{ r_2} =\frac{2}{3}[/tex]
The ratio of their radius is [tex]2:3[/tex]
Answer:
2 : 3
Step-by-step explanation:
Let,
Radius of cylinder 1 = R
Radius of cylinder 2 = r
Now,
We know that
Volume of cylinder = πr²h
=> πR²h/πr²h' = 20/27
=> R² × 5/r² × 3 = 20/27
=> R²/r² = 20/27 × 3/5
=> R²/r² = 4/9
=> R/r = √(4/9)
=> R/r = 2/3
=> R : r = 2 : 3
When Deema begins her drive, she is 400 mi from home. For the first two hours, she drives on country roads at
an average rate of 25 mph. Then she drives at an average rate of 75 mph until she gets home. Draw a graph to
represent this situation. Show any calculations you need to determine the graph.
Answer:
Step-by-step explanation:
The coordinates of the graph representing the given situation are listed below
A (0 ,400)
B ( 1 ,350 )
C (2,300)
D(3,250)
E(4, 200)
F(5, 150)
G(6, 100)
H(7, 50)
I (8, 0)
The graph attached shows the nature of the graph.
HELP!! joels apartment building is 42 ft tall and casts a shadow of 20ft. If Joel is 6 ft tall, how long is his shadow
Step-by-step explanation:
an object and its shadow create a right-angled triangle.
2 objects and their shadows create 2 similar right-angled triangles.
that means the angles are the same, and the side lengths of one triangle all correlate with the corresponding side lengths of the other triangle via the same factor.
so,
42 × f = 6
f = 6/42 = 1/7
the length of Joel's shadow is then
20 × f = 20 × 1/7 = 2.857142857... ft