Answer:
formula: (y_2-y_1)/(x_2-x_1)
slope: 0
Step-by-step explanation:
1. The formula to find the slope given two points is [tex]\frac{y_2-y_1}{x_2-x_1}[/tex].
2. (Solving)
[tex]\frac{8-8}{-5-10}[/tex] [tex]\frac{0}{-15}[/tex] [tex]0[/tex]Therefore, the slope is 0.
Solve the simultaneous equations
x-6y=5
xy - 2y2 = 6
-
Show clear algebraic working.
Answer:
(- 7, - 2 ) , (9.5, 0.75 )
Step-by-step explanation:
Given the equations
x - 6y = 5 ( add 6y to both sides )
x = 5 + 6y → (1)
xy - 2y² = 6 → (2)
Substitute x = 5 + 6y into (2)
(5 + 6y)y - 2y² = 6 ← distribute and rearrange left side
5y + 6y² - 2y² = 6
4y² + 5y = 6 ( subtract 6 from both sides )
4y² + 5y - 6 = 0 ← in standard form
(y + 2)(4y - 3) = 0 ← in factored form
Equate each factor to zero and solve for y
y + 2 = 0 ⇒ y = - 2
4y - 3 = 0 ⇒ 4y = 3 ⇒ y = [tex]\frac{3}{4}[/tex] = 0.75
Substitute these values into (1) for corresponding values of x
y = - 2 : x = 5 + 6(- 2) = 5 - 12 = - 7 ⇒ (- 7, - 2 )
y = 0.75 : x = 5 + 6(0.75) = 5 + 4.5 = 9.5 ⇒ (9.5, 0.75 )
(- 7, - 2 ) and (9.5, 0.75 ) are the solutions.
What is equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Here, we have,
Given the equations
x - 6y = 5 ( add 6y to both sides )
x = 5 + 6y → (1)
xy - 2y² = 6 → (2)
Substitute x = 5 + 6y into (2)
(5 + 6y)y - 2y² = 6 ← distribute and rearrange left side
5y + 6y² - 2y² = 6
4y² + 5y = 6 ( subtract 6 from both sides )
4y² + 5y - 6 = 0 ← in standard form
(y + 2)(4y - 3) = 0 ← in factored form
Equate each factor to zero and solve for y
y + 2 = 0 ⇒ y = - 2
4y - 3 = 0 ⇒ 4y = 3 ⇒ y = = 0.75
Substitute these values into (1) for corresponding values of x
y = - 2 : x = 5 + 6(- 2) = 5 - 12 = - 7 ⇒ (- 7, - 2 )
y = 0.75 : x = 5 + 6(0.75) = 5 + 4.5 = 9.5 ⇒ (9.5, 0.75 )
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How long would it take eight lumberjacks to chop down eight trees at the same rate?
Answer:
4 hours
Step-by-step explanation:
It take them 1.5 h ÷ 0.5 h to chop down 1 tree, so it would take 0.5 h × 8 = 4 hours to chop down 8 trees
Refer to Exhibit 11-4. If a person's taxable income is $50,000, how much does he pay in taxes?
$9,250
$10,110
O $15,000
O $12,500
Based on the exhibit attached, we can calculate that a person earning $50,000 will pay $9,250.
People earning $50,000 fall into the $42,001 - $100,000 bracket which means that they pay $7,250 + 25% of everything over $42,000.
The amount of taxes is:
= 7,250 + ( 25% x (50,000 - 42,000))
= 7,250 + (25% x 8,000)
= $9,250
In conclusion, the person would pay $9,250 in taxes.
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Determine if I Il m based on the information given on the diagram. If yes, state the converse that
proves the lines are parallel.
Answer:
I believe, that they are parallel because they both have 90° angles meaning that the other angle has to be 90° as well. I dont really know how to explain it but they are both in the same position and have 90° angles im not the best with these. •So im not exactly sure if this is correct though.
-They also have corresponding and congruent angles that do match up, so yes they are parallel to eachother
A sunflower is 15 inches tall and grows 2 inches a week. How many weeks will it take for the
Sunflower to be 23 inches tall?
Need help making an equation!!
Answer:
4 weeks
Step-by-step explanation:
15 + 2x = 23
2x = 8
x = 4
James wants to buy a new cell phone package. There are three packages available, each offering a different deal.Package 1$160 for 4 monthsPackage 2$128 for 4 monthsPackage 3$60 for 2 monthsWhich package offers the best deal?A.Package 3B.Package 1C.Package 2D.Both Package 1 and Package 2
Answer:
to get which one is the best we have to bring them packages to the same terms
so to do that we have to find what each package offers per month by divided the amount by the number of months
so
160/4= 40
128/4=32
60/2=30
so the best package is
B. package 1
Solve the equation.
y + 6 = -3y + 26
O y=-8
O y=-5
O y = 5
O y = 8
The solution of Equation is y=5.
The correct option is C.
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
We have,
y+ 6 = -3y + 26
Now, solving for y we get
y + 3y= 26 - 6
4y= 20
y= 20/4
y= 5
Thus, the value of y is 5.
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Jane lives 4.7 miles from the local ice
cream parlor while Sarah lives only 3.4 miles
from the same ice cream parlor. How many
more feet away from the parlor does Jane
live? How can I write it down.
Answer: 22
Step-by-step explanation:
why is 3/8 bigger than 3/12
Answer:
3/8 is is bigger then 3/12
Step-by-step explanation:
The reason is that 3/12 is equivalent to 2/8 and 3/8 is equivalent to 6/16
Sorry if its wrong! ^^""
As, 0.375> 0.25, so, 3/8 is greater than 3/12.
Here, we have,
To get the answer, we first convert each fraction into decimal numbers.
We do this by dividing the numerator by the denominator for each fraction as illustrated below:
3/8 = 0.375
3/12 = 0.25
Then, we compare the two decimal numbers to get the answer.
0.375 is greater than 0.25.
i.e. 0.375> 0.25, as 0.375 - 0.25 = 0.125
Therefore, 3/8 is greater than 3/12.
Hence, As, 0.375> 0.25, so, 3/8 is greater than 3/12.
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Solve using order of operations: 72/8+6/3-4(10)
Answer:
the answer is -29
Step-by-step explanation:
For brainily please help
Answer:
FH is the smallest side.
Step-by-step explanation:
This is called the relation between angles and sides where the smallest angle will have the smallest side opposite one another.
That means if measure G is the smallest then FH is the smallest side as FH is the opposite of measure G.
You can also say GH is the biggest or largest side since GH is opposite of measure F and measure F has the biggest angle.
So, FH is the smallest.
Identify the slope and y-intercept of the linear function 7 = 3x + y.
Answer:
Slope: -1/3
Y-Intercept: 7
Step-by-step explanation:
slope: -a/b
y=c
What is the value of h(3)?
–2
–1
1
2
Answer:
C) 1
Step-by-step explanation:
Hope this helps! Pls give brainliest!
Answer:
Step-by-step explanation:
h(3) means that x = 3. That's the right side of the x axis. At that point, h(3) has a y value of 1.
1. Find the product of 4 X 2 X 3 two different ways.
Answer:
6 x 4
8 x 3
The product: 24
Hope This Helps! •v•
Step-by-step explanation:
Answer:
6 x 4
8 x 3
The product: 24 K12 is how i know thx bye! :D
The perimeter of an equilateral triangle is 12 inches. After a dilation, the
perimeter of the image is 42 inches. What is the scale factor of the dilation?
Based on the change in the perimeter, the scale factor of the dilation is 3.5.
The scale factor of the dilation refers to the number of times the triangle was dilated such that it went from 12 inches to 42 inches.
This dilation can be found as:
= Increased perimeter / Original perimeter
Solving for it would give:
= 42 / 12
= 3.5
In conclusion, the scale factor of the dilation is 3.5.
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Answer my question please
A car has a 16 gallon fuel tank when driving on a highway it has a gas milage of 30 miles per gallon how many miles has a car traveled if it has 2.5 gallons of gas left in the tank
Answer:
The car has traveled 405 miles if it has 2.5 gallons of gas left in the tank.
Step-by-step explanation:
16 - 2.5 = 13.5 ( The amount of gas the car has already used )
30 * 13.5 = 405 ( How far the car traveled with 13.5 gallons of gas )
Hope this helps!
A. 6
B. 7
C. 12
D. 24
Answer:
A
Step-by-step explanation:
If you count, the number is 12. Then divide that number by 2. You get 6.
[you divide by 2 because you need to find the average. i rlly don't know how to explain better]
Answer:
The answer is A.
6
Find the measure of each numbered angle if m<1=72 and m<3=26.
<2=?
<4=?
Answer:
Step-by-step explanation:
<2=2*1
<4= 2*2
solve for a,b 2^a × 2^b=144 value of a+3b+2 is...
please solve it...urgent...
Answer:
its a simple for me
Step-by-step explanation:
2+144 i
[tex]7x^{3} * 7x^{5}*7x^{2}[/tex] ?
[tex] {7x}^{3} . \: {7x}^{5} . {7x}^{2} \\ 343 {x}^{3} {x}^{5} {x}^{2} \\ 343 {x}^{10} \\ [/tex]
[tex]7x^3\cdot 7x^5\cdot 7x^2 =(7)^3\cdot x^{2+3+5} =343x^{ {10}}[/tex]
A dresser with the mirror attached is 6.28 feet tall. The difference between their heights is 1.28 feet. What are the heights of the dresser and the mirror by themselves? Let the height of the dresser and the height of the mirror = y. =x
Answer:
Step-by-step explanation:
y = dresser height
x = mirror height
x+y=6.28
x-y = 1.28
x = 1.28+y
x+y=6.28
(1.28+y)+y=6.28
2y = 5
y = 2.5
Dresser = 2.5 ft
Dresser + Mirror = 2.5 + 1.28 = 6.28 ft
Mirror = 1.28 ft
A car travels the first 50km of its journey at an average speed of 25m/s and the next 120km at an average speed of 80km /h . The car completes the last part of its journey at an average speed of 90Km/h in 35 minutes . Find the average speed for its entire journey , giving your answer in km/h
Step by step
Answer:
What do you need me to do
Step-by-step explanation:
Compare solving equations using addition with solving inequalities using addition
Answer:
give picture
Step-by-step explanation:
Solving inequalities with addition is similar to solving equations with addition in the initial steps, but it differs in the final answer due to the inequality sign. In both cases, you use addition to isolate the variable. However, with inequalities, you must consider the direction of the sign throughout the process.
When solving inequalities with addition, like equations, the goal is to isolate the variable on one side. You use addition to simplify the expression. Begin by treating the inequality like an equation, adding or subtracting the same value to both sides to eliminate constants and isolate the variable.
For example, if you have [tex]\(2x + 5 > 10\)[/tex], subtract 5 from both sides to get [tex]\(2x > 5\)[/tex].
Here's where it diverges: since inequalities involve the relationship between two quantities, you need to be mindful of the inequality sign. When you multiply or divide both sides by a negative number, the inequality direction flips.
For example, if you multiply [tex]\(x < 3\)[/tex] by -2, the sign changes to [tex]\(x > -6\)[/tex].
Remember, you're looking for a range of values that satisfy the inequality. So, when representing your final answer, use the appropriate inequality sign. For instance, if [tex]\(3x + 2 \leq 8\)[/tex], after simplifying, you'll have [tex]\(x \leq 2\)[/tex], indicating that any value of [tex]\(x\)[/tex] less than or equal to 2 satisfies the inequality.
In summary, while solving inequalities with addition is akin to solving equations with addition in the initial steps, the crucial distinction lies in managing the inequality sign throughout the process and representing the solution as a range of values that satisfy the inequality.
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Complete Question:
How is solving inequalities with addition is similar to or different from solving equations with addition ?
PLEASE HELP IT’S DUE TMR
ELPP PLS I SUCK AT MATHH D:
I didn't mean to click 1 but once you click it you cant unclick you can only change your answer
Answer:
If you were really that bad at math make it more than 6+ points lmoa and the answer is 1
Step-by-step explanation:
What is the measure of the
third angle of this triangle?
Answer:
20 degrees
Step-by-step explanation:
180-120-40=20
NEED ASAP IT WAS DUE LAST WEEK
1.Explain why the equation (x-4)^2-28=8 has two solutions. Then solve the equation to find the solutions. Show your work.
solve 7f + 6 = 27 show working out
Answer:
f = 3
Step-by-step explanation:
7f + 6 = 27 ( subtract 6 from both sides )
7f = 21 ( divide both sides by 7 )
f = 3
7f+6=27
7f=27-6
7f=21
Divide both sides by 7 to isolate f:
f=3
Hope this helps!
#HaveAnAmazingDay
[tex]GraceRosalia[/tex]
WILL GIVE BRAINLIEST!!!
Distributive property quick check. Simplify: 1/2 (6z+10). Simplify: 10(5+2x). Simplify: 3(5y+6)-4. Simplify: (3a+2)(4).
Answer:
1: 3z+5
2: 50+20x
3: (15y+18)-4
4: 12a+8