Answer:
The coordinates of point p are:
x = -3.2
y = 9.6
Step-by-step explanation:
A linear relationship can be written as:
y = a*x + b
where a is the slope and b is the y-axis intercept.
For a line that passes through the points (x1, y1) and (x2, y2), the slope can be written as:
a = (y2 - y1)/(x2 - x1).
Then if we know that L1 passes through the points (6, 5) and (10, 3) the slope of this line will be:
a = (3 - 5)/(10 - 6) = -0.5
Then this line will be something like:
y = -0.5*x + b
To find the value of b we can just replace the values of one of the points in the above equation. For example if we use the point (6, 5), this means that:
x = 6
y = 5
Then we get:
5 = -0.5*6 + b
5 = -3 + b
5 + 3 = b
8 = b
Then the equation for line L1 is:
y = -0.5*x + 8
Now, for line L2 we know that it has a gradient -3 (for linear equations, the gradient is the same as the slope)
Then line L2 has a slope equal to -3
y = -3*x + b
And we know that this line passes through the origin, (0, 0)
Then if we replace the values of that point in our equation, we get:
0 = -3*0 + b
0 = b
Then line L2 is:
y = -3*x
Then our two lines are:
y = -0.5*x + 8
y = -3*x
Now we want to find the point where these lines intersect. The lines will intersect in one point that belongs to both lines, then we can use the relation:
-0.5*x + 8 = y = -3*x
-0.5*x + 8 = -3*x
now we can solve this for x.
-0.5*x + 8 = -3*x
8 = -3*x + 0.5*x
8 = -2.5*x
8/-2.5 = x = -3.2
Now we need to evaluate one of the lines on this value, i will use line L2
y = -3*(-3.2) = 9.6
Then we can conclude that the lines do intersect in the point:
x = -3.2
y = 9.6
this point is written as: (-3.2, 9.6)
laurague here is your answer:)
Sam had 225 grams of raisins. After buying another two bags of raisins he then had
175 grams of raisins
He writes this equation where r represents number of bags of raisins to describe how
225r+2=1475
Is he correct? Explain your answer.
How many grams of raisins were in one bag?
Answer: No, he is not correct, the correct equation is:
225 + 2*r = 1475
Solving that, we can find that each bag of raisins has 625 grams of raisins.
Step-by-step explanation:
I suppose that the problem is as follows:
"Sam had 225 grams of raisins. After buying another two bags of raisins he then had 1475 grams of raisins"
Then, if each bag of raisings has r grams of raisings, two bags will have two times that, or:
2*r grams of raisings.
Then if we take what he had at the beginning, and we add these 2*r grams, we should get the 1475 grams that he has at the end:
225 + 2*r = 1475
This is what he should get.
and we can solve it for r, to get:
2*r = 1475 - 225 = 1250
r = 1250/2 = 625
r = 625
This means that each bag of raisins has 625 grams of raisins.
But instead, he got:
225*r + 2 = 1475
In this case, he multiplied his previous amount of raisings by the amount that each bag has, so his equation is wrong.
HELP MEHHH, WILL MARK BRAINLIEST!!! NEED ANSWER TO Q 3
Help NOW PLEASE
Joy multiplied (3x – 3) by a
second binomial. If the product
was 9x2 – 18x + 9, find the
second binomial.
A. (3x – 3)
B. (3x + 3)
C. (3x – 6)
D. None of the above
Answer
(3x-3)
Step-by-step explanation:
A cyclist travels at an average speed of 13 mph for 3 hours.
How far did she travel in miles?
Answer:
39 miles
Step-by-step explanation:
We know that a cyclist travelled at an average rate of 13 miles per hour for 3 hours and are asked to how far she travelled in miles.
To solve, we need to take into mind that for three hours, the cyclist drove 13 miles per hour.
Meaning that for every hour, 13 miles were driven.
Therefore we need to multiply 13 by 3 to get our answer :
13 miles * 3hrs
39 miles
What is the equation for the line in slope -intercept form?
Answer:
I can't see it
Step-by-step explanation:
We need a bigger picture.
Bobinvested$6500intoamutualfund with 3.5% monthly interest rate. What is the balance in the account after one month?
Answer:
$6727.50
Step-by-step explanation:
35/1000*6500
= 35*6.5
=227.50
6500+217.50
6727.50
Yusuf is preheating his oven before using it to bake. The initial temperature of the oven is 70° and the temperature will increase at a rate of 20° per minute after being turned on. What is the temperature of the oven 13 minutes after being turned on? What is the temperature of the oven tt minutes after being turned on?
Temp after 13 minutes:???
Temp after tt minutes:???
Answer:
temp after 13 minutes is 330 degrees
Step-by-step explanation:
70+(20/13)=260+70=330
Answer:
330 Degrees
Step-by-step explanation:
First, you will want to multiply 20 timesthe time 13. You would get 260, but don't forget about the initial temperaure of 70 so add that, and you will get 330 degrees. I hope this helps :)
An alarm rings 8 times in 5 seconds. What is the unit rate ,in rings per second?
3x^2+9x+27x^3 pls help the ^ means exponent
Answer:
27x^3+3x^2+9x
Step-by-step explanation:
GIVING BRAINLIEST
The table shows the temperature at noon of four towns for 2 days.
Player
Temperature Temperature
Day 1 (°F) Day 2 (°F)
Mimstown
4 -6
Pikeville
-9 -1
Jackson
-4 3
Lancaster
6 14
Which town had the SMALLEST change in temperature between the two days?
jackson
Step-by-step explanation:
solve for t. -1 (t + 8) = -7.1 brainly
t=___?
(Please hurry!)
Answer:
.9
Step-by-step explanation:
-1(t+8) = -7.1
PEMDAS
So times the parenthesis by -1
-t - 8 = -7.1
Add the 8 to itself to get rid of it
Then since you added it on the left, add it to the right
-t = .9
t = .9
Carlos needs to buy 6 pens and some colored pencils for school. He has $25 to spend. If the pens cost $3.25 each, how much does Carlos have left to spend?
Answer:
He will have $5.50 left to spend.
Step-by-step explanation:
please help meeeeeee
Answer:
y=2/3x +5
Step-by-step explanation:
to find the gradient
9--1/6--9
10/15
2/3
y-y1=m(x-x1)
y-9=2/3(x-6)
y-9=2/3x-4
y=2/3x+9-4
y=2/3x+5
of Composite Shapes P5
driguez
Figure 10: Find the area of this composite shape.
Find the area of this composite shape.
15 yd
4 yd
Subi
10 yd
6yd
Can you solve for a, b and c?
20 – 3b = -5
4a + 3b = 17
50 - 2a = 1
Answer:
c = 1 , a = 2, b = 3
Step-by-step explanation:
Solve: 5x=-6x+9
A: x= -9
B: x= -9/11
C: x= 9
D: x= 9/11
Answer:
x = 9/11
Step-by-step explanation:
5x = -6x + 9
Add 6x to both sides
11x = 9
Divide both sides by 11
x = 9/11
Answer:
X Equals 9/11
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable. So X will equal 9/11, which in decimal form is 0.81.
Reasoning: Write a function g(x) to represent the translated graph. f(x) = 3x + 7 translated 4 units up.
Answer:
I am pretty sure its g(x) = 3x + 11
Help me find the slope of the line
Answer:
i think is 2 but i am not sure
Answer:
1/2
Step-by-step explanation:
This is tough because you don’t know the numbers on the side graph, but i’m assuming it’s 1 each.
Find where the line is on a point. Since slope is Rise over run. Go up 1 and sideways 2.
The radius of a circle is 13.8 cm. Find the circumference
to
the
nearest
tenth
Answer:
86.7
Step-by-step explanation:
the circumference = 2 x pi x radius
13.8x2.3.14=86.7
Answer:
87
Step-by-step explanation:
there you go
Evaluate the following expression
8 to the power of 3–9•2 divided by 3
Answer:
0.485 in decimals
Is the function even,odd, or neither
Answer:
even :D
Step-by-step explanation: :D
I really neeed help ... please help me
Answer:
fist one is 36 and the second one is 238
Step-by-step explanation:
to find volume multiple length times width times height though in this case you only need to multiple two numbers to get the answer
=
Solve for x.
18+x=y
x = 0
?
Answer:
The answer is 18
Step-by-step explanation:
18 + x really means 18 + 0, because x is equal to 0
and if 18 + x = y, it means 18 + 0 = y,
so y is equal to 18
hope this helped!
What is equivalent to 4x + 6y
Answer:
Is that all...
Step-by-step explanation:
Is there any other information if not then it is impossible to answer that question.
PLZZZ ANSWER I BEG U
Graph a line with a slope of 2 that goes through the point (4, 8).
To graph a line, plot two points on the line.
Answer:
Step-by-step explanation:
The sum of two numbers is 30 and their difference is 4. Find the numbers
Answer:
17 and 13
Step-by-step explanation:
So you can set up an equation:
let x be the greater number
this means that the smaller number would be 4 less than x, because their difference is 4, so x - 4.
The sum is 30, so x + (x - 4) = 30
Then, solve:
x + (x - 4) = 30
x + x - 4 = 30
combine like terms
2x - 4 = 30
add 4 to both sides
2x = 34
divide both sides by 2
x= 17
Now you know the greater number is 17. Since they have a difference of 4, you can do 17 - 4 = 13 to get the smaller number.
The numbers are 17 and 13
What is the standard form equation for a 1/2 line that passes though (-3,-3) and (4,2)
Answer:
y= 5/7x -2.7
Step-by-step explanation:
Y= mx + c (-3,-3) (4,2)
x1 , y1 x2, y2
to find m (gradient)
y^2 - y^1 / x^2 - x^1
2-(-3) / 4 - (-3)
5/7 m = 5/7
take (4,2) and gradient and substitute
2=5/7(4) + c
2=4.7+ c
2-4.7 = c
-2.7 = c
now we have c and m so just put it in the equation
y= 5/7x -2.7
You buy a computer for $3,000. Its value depreciates by 8% every month. Write an equation to represent the situation. How much is your computer worth after 3 years?
Answer:
y=3,000(0.92)^x
Step-by-step explanation:
your computer is worth $2, 336.04
Write the equation of the line, in slope-intercept form, with the
following information:
slope: -1
y-intercept: (0, -1)
Answer:
y = -x -1
Step-by-step explanation:
x1= 0, y1= -1
[tex]slope = \frac{x - x1}{y - y1} = \frac{x - 0}{y - ( - 1)} = \frac{x}{y + 1} [/tex]
-1 = x/(y+1)
-1 (y+1) = x
y+1 = -x
y= -x -1