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.
Andrew is half his brother's age. Three years ago, the sum of their ages was 24. How old are they each now? Please answer Fast.
Answer:
Andrew 10 and his brother 20 years old
Step-by-step explanation:
three years ago
7 and 17 add up to 24
Hope this helps
What are the factors of
[tex] {x}^{2002} - 1[/tex] ?
I want step-by-step explanation. Spam free answer required
Step 1: Trying to factor as a Difference of Squares:
Factoring: x²⁰⁰² - 1
Theory : A difference of two perfect squares, A² - B² can be factored into (A+B) • (A-B)
Proof : (A+B) • (A-B) =
A² - AB + BA - B² =
A² - AB + AB - B²
A² - B²
Note : AB = BA is the commutative property of multiplication.
Note : - AB + AB equals zero and is therefore eliminated from the expression.
Check : 1 is the square of 1
Check: x²⁰⁰² is the square of x¹⁰⁰¹
Factorization is : (x¹⁰⁰¹ + 1) × (x¹⁰⁰¹ - 1)
marlene is painting square tiles for a project.each tile has a perimeter of 16 in.what is the length of each side.
Answer:
64 i hope im right
Step-by-step explanation:
Answer: 4 in.
Step-by-step explanation:
A square has 4 equal sides for its perimeter.
Perimeter = 4x
16 = 4x
x = 4 in.
Which equation choice could represent the graph shown below?
What is mAngleMHJ? 35 50 72.5 92.5
Answer:
Do you have any picture?
Answer:
50
Step-by-step explanation:
B.
What is the volume of a cube with sides of length 9m?
Answer:
V = 729 m³
General Formulas and Concepts:
Pre-Algebra
Evaluation
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightGeometry
Volume of a Cube Formula: V = s³
V is volume (in units³)s is a side lengthStep-by-step explanation:
Step 1: Define
Identify variables.
s = 9 m
Step 2: Find Volume
Substitute in variables [Volume of a Cube Formula]: V = (9 m)³[Order of Operations] Evaluate: V = 729 m³help please?????????
Answer:
A, to B, to D,
or A, to E, to C, to D
Step-by-step explanation:
Does anyone know this?
Blank #1____
Blank #2____
Blank #3____
Blank #4____
Answer:
12x2x8xStep-by-step explanation:
Apparently, the values in the table are the products of the terms on the left and the terms on the bottom.
(Blank 1) × 1 = 1 ⇒ (Blank 1) = 1
(Blank 2) × 8x = 16x² ⇒ (Blank 2) = 16x²/(8x) = 2x
(Blank 3) = (Blank 1) × (Blank 2) ⇒ (Blank 3) = 1 × 2x = 2x
(Blank 4) = 8x × 1 = 8x
Answer:
1. 1
2. 2x
3. 2x
4. 8x
Step-by-step explanation:
1. If y varies directly as x, and y=8 when x=4. Find y when x=10, the constant of variation and the equation of variation.
2. If y varies directly as x, and y= 0.9 when x= 0.3. Find y when x= 1.5, the constant of variation and the equation of variation.
3. If y varies inversely as, and y= 10 when x=1/2. Find x when y= 3, the constant of variation and the equation of variation.
4. If v varies jointly as w and u, and v=14 when w=7 and u=13. Find v when w=3/4 and u=6, the constant of variation and the equation of variation.
5. If m varies directly as n and inversely as p and m=9 when n=2 and p=1/3. Find m when n=1/2 and =1/3, the constant of variation and the equation of variation.
1. This is a ratio question in disguise.
By parts of the question: "When y varies directly with x" -> y/x
"if y=8 when x=4" -> y/x = 8/4
"how do you find y when x=5" -> y/x = 8/4 = y/5
so -y = 8x5/4 = 10
That's all i got..
What is the value of x? Leave your answer in simplest radical form.
Answer:
sqrt 52
Step-by-step explanation:
use the pythagorean thereom
side a - 4
side b - 6
to find the hypotenuse, simply square both sides.
4² + 6²
4 x 4 = 16
6 x 6 = 36
add these two together
you should get 52.
After finding the combined side length, find the inverse operation of squared.
The inverse operation is the square root.
So find the square root of 52.
√52 = 7.21110255
round to the nearest tenth.
the answer should be 7.2
But to keep it in radical form the answer is sqrt 52
The value of x is 2√13.
Step-by-step explanation:With the help of Pythagoras theorem, we will find the value of x.
=> x² = 6² + 4²=> x² = 36 + 16=> x² = 52=> √x² = √52=> x = √52=> x = √2 x 26=> x = √2 x 2 x 13=> x = 2√13Conclusion:Therefore, the value of x is 2√13.
Hoped this helped.
[tex]BrainiacUser1357[/tex]
which ordered pair is not in the solution set of y>-1/2x+5 and y_<3x-2
1 (5,3)
2 (4,3)
3 (3,4)
4 (4,4)
===========================================================
Explanation:
Lets go through the points one by one
So we'll try (5,3) first. Plug x = 5 and y = 3 into the first inequality
[tex]y > -0.5x+5\\3 > -0.5*5+5\\3 > -2.5+5\\3 > 2.5[/tex]
We get a true result so (5,3) is a solution to the first inequality. Now check the second inequality.
[tex]y \le 3x-2\\3 \le 3(5)-2\\3 \le 15-2\\3 \le 13\\[/tex]
That's also true. Therefore, the point (5,3) is a solution to the system overall.
Your teacher wants you to find a non-solution, so we must cross choice A off the list.
---------------------
Let's now try choice B. We have x = 4 and y = 3
[tex]y > -0.5x+5\\3 > -0.5*4+5\\3 > -2+5\\3 > 3[/tex]
That last inequality is false. It's not possible to have a number larger than itself (or smaller than itself). So (4,3) is not a solution to the first inequality. We don't need to check the second inequality as we found the answer.
The value of y varies directly with x.If x=25 then y=20 .a. find the value y when x=8 b. find the value of x when y=32
is that two problems in one?
Ferris wheel makes 6 revolutions per ride. It
has a diameter of 45 feet. How far would someone
travel during one ride?
Answer:
270
Step-by-step explanation:
so u would take 6 and 45 and multiplay
PLS SOMEONE HELP I WILL GIVE U 28 POINT
Answer:
z=37
x=105
y=68?
Step-by-step explanation:
Leave a brainliest if this helped!
Can you help me answer this question?
Increase £184 by 3%
Answer:
189.52
Step-by-step explanation:
184 x 0.03
5.52
184 + 5.52
189.52
Answer:
184*1.03 = £189.52
Step-by-step explanation:
The budget $_________ per guest
Find cos 2α; the angle α is in the fourth quadrant, and sin α = -0.45. Which double-angle identity should you use?
cos2α = 1 – 2〖sin〗^2α
sin(α)cos(α) - cos(α)sin(α)
sin(α)cos(α)
2sin(α)cos(α)
Answer:
it is the last one
Step-by-step explanation:
me big brain
PLEASEEEE WILL GIVE BRAINLIEST TO FIRST RIGHT ANSWER!!!!!!!!!!
Find the solution of the system of equations.
-2x-6y=50
-2x+9y=-40
Answer:
i think x = -7, y = -6
Step-by-step explanation:
good luck
Learning Task 3: Solve the following problems. Write your SOLUTION and
your answers in you notebook.
1. What is the quotient if 24 is divided by 48?
2. Jean has 35 m of wire for hanging pictures. She wants to divide it into
50 pieces for her frames. How long will she use for each frame?
3. Father left Php5.00 for his 7 children. How much did each child
receive?
4. Mang Ricky is a hardworking man who owns 6 hectares of land. In his
will, he divided his lot equally among his 7 sons. How much land will
each of his son receive?
5. Troy and Raffy went to the market to buy 15 kilos of meat. When they
came home, they divided the meat into 16 parts and put each part in
separate plastic bags for future use. How many kilos of pork does each
bag contain?
1. The quotient is 0.5.
2. She will use 0.7m long for each frame.
3. Each child received 0.71 Php.
4. Each son will receive 0.85 hectares.
5. Each bag contains 0,93 kilos.
1. What is the quotient if 24 is divided by 48?24 / 48 = X0.5 = X2. Jean has 35 m of wire for hanging pictures. She wants to divide it into 50 pieces for her frames. How long will she use for each frame?35 / 50 = X0.7 = X
3. Father left Php5.00 for his 7 children. How much did each child receive?5/7 = X0.71 = X
4. Mang Ricky is a hardworking man who owns 6 hectares of land. In his will, he divided his lot equally among his 7 sons. How much land will each of his son receive?6/7 = X0.85 = X
5. Troy and Raffy went to the market to buy 15 kilos of meat. When they came home, they divided the meat into 16 parts and put each part in separate plastic bags for future use. How many kilos of pork does each bag contain?15/16 = X0,93 = X
Learn more about maths in https://brainly.com/question/25927059
Please help me solve for n
To solve for N, you have to work backwards
1. Take off the absolute sigh
the absolute sign only means that the answer must be positive. So that means N could equal to positive and Negative
2. What is 1x6?
This process is called inverse operation. Where you have division, you have multiplications. The answer is 6.
3. The answer is 6 or negative 6, in the fact that -6 would equal to six in the absolute sign.
I hope this helped! If it's wrong blame me!
A red die is tossed and then a
green die
is tossed. What is the probability that
the red die shows an even number and
the green die shows an even number?
Make sure your answer is reduced.
Answer: 1/4
Step-by-step explanation:
There are three even numbers and three odd numbers on a 6 sided dice
The probability of rolling an even number on the red die is: p(red with even) = 3 / 6, or 1 / 2, since there are six numbers on a die.
The probability of rolling an even number on the green die is the same as the probability of rolling an even number on the red die, or 3 / 6, or 1 / 2.
Since rolling the red die and rolling the green die are independent events, to find the probability of both occurring, you need to multiply the individual probabilities.
P(of both red and green even) = 1/2 * 1/2, or 1/4.
Answer:
3/4
Step-by-step explanation:
This is what I got for Acellus
In which situation below would you want to use the Explicit Formula instead of the Recursive Formula?
a. Find the 100th term when the first term is -3 and the common difference is 4.
b. Find the 3rd term when the first term is 2 and the common difference is 5.
c. Find the 7th term when the first term is -1 and the common difference is 10.
d. Find the 5th term when the first term is 7 and the common difference is -2.
Answer:
Find the 100th term when the first term is -3 and the common difference is 4.
Step-by-step explanation:
Answer:
a
Step-by-step explanation:
Find the 100th term when the first term is -3 and the common difference is 4. I took the test and got 100 percent.
One angle in a triangle is 4 times the size of another angle.The third angle 90, and three angles of tue triangle add up to 180.How big are the two unknown anges?
Answer:
30 degrees and 60 degrees
30 POINTS IF U CAN HELP PLEASE. in the figure below, a tangent and a secant are drawn to a circle from the exterior point E. Suppose that EG=13 and ED=26. Find CD
Answer:
19.5 = CD
Step-by-step explanation:
The square of the tangent = the the whole secant times the outside part of the secant.
EG²= (ED)(EC)
13² = (26)(EC)
169 = 26EC
169/26 = EC
6.5 + EC
Now ED = EC + CD
26 = 6.5 + CD
26 - 6.5 = CD
19.5 = CD
how do you evaluate?
We evaluate an algebraic expression by the determination of an unknown variable.
Evaluation is a systematic method used in solving most algebraic expressions in mathematics.
Let assume that we have a given algebraic expression where y is expressed in terms of x and;
y = 2x + 5 where (x = 4)
Here, y and x are the variables;y = 2(4) + 5
y = 8 + 5
y = 13
Learn more about how to evaluate algebraic expressions here:
https://brainly.com/question/4344214
(-5, 10) (-5, 9) What is the slope?
Answer:
The slope is undefined.
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(9-10)/(-5-(-5))
m=-1/(-5+5)
m=-1/0
undefined
Since the slope is undefined, this is a vertical line.
Answer:
undefined
Step-by-step explanation:
Ok, we will use the formula:
[tex]\frac{y^{2} -y^{1} }{x^{2} -x^{1} }[/tex]
The points (-5, 10) is our one, making -5 x1 and 10 y1
The points (-5, 9) is our two, making -5 x2 and 9 y2
now we add them into our formula
[tex]\frac{9-10}{-5-(-5)} = \frac{-1}{0}[/tex] = undefined
Hope this helps. Check with someone else to make sure. <3
A restaurant customer left $2.60 as a tip. The tax 6% was and the tip was 20% of the cost including tax.
a. Which information is not needed to compute the bill after tax and tip?
b. What was the total bill?
Based on the tip left and its proportion of the total bill, the following answers are true:
a. The tax rate is not needed to compute the after tax and tip bill b. The total bill is $13.00A tip of $2.60 was left and this is said to be 20% of the bill including the tax.
The total bill is therefore:
Tip = Total bill x 20%
2.60 = Total bill x 20%
Total bill = 2.60 / 20%
= $13.00
We can see that the tax rate was not needed to compute the total bill.
In conclusion, the tax rate was irrelevant and the total bill was $13.00.
Find out more about taxes and tips in bills at https://brainly.com/question/24976122.
A mosquito flies at a speed of 40.2 meters per minute.
At this rate, how many meters can it fly in 5 minutes?
PLZ HELP
Answer:
201
Step-by-step explanation:
40.2*5=201
201 meters per minute
Does any one mind helping me on this question I have struggle solving it
-1=0
0.5=4.5
3=3.1
this is the answer
Write the slope-intercept form of the equation of the line.
Answer:
y = x + 2
Step-by-step explanation:
By doing the rise over run, the slope is 1
The y - intercept is 2
You plug the numbers in the equation y = mx + b
y = x + 2