The equation of line passes through the points (0, 0) and (3a, 5g) will be;
⇒ y = (5g/3a) x
What is Equation of line?The equation of line in point-slope form passing through the points
(x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
Given that;
Two points on the line are (0, 0) and (3a, 5g).
Now,
Since, The equation of line passes through the points (0, 0) and (3a, 5g).
So, We need to find the slope of the line.
Hence, Slope of the line is,
m = (y₂ - y₁) / (x₂ - x₁)
m = (5g - 0) / (3a - 0)
m = 5g / 3a
Thus, The equation of line with slope 5g/3a is,
⇒ y - 0 = 5g/3a (x - 0)
⇒ y = (5g/3a) x
Therefore, The equation of line passes through the points (0, 0) and
(3a, 5g) will be;
⇒ y = (5g/3a) x
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aaaaaa. please help this is annoying AHAHAH
Answer:
Third one
−10×3−4
Step-by-step explanation:
-30-4
-34
Answer:
-10 · 3 - 4
Step-by-step explanation:
20 - (-3) + 51 ÷ (-3) = 20 + 3 + 51 ÷ (-3) = 20 + 3 - 17 = 6 no
-2 - (-8) + 7 + (-11) = -2 + 8 + 7 - 11 = 2 no
-10 · 3 - 4 = -30 - 4 = -34 yes!
-4 · (-3) + 22 = 12 + 22 = 34 no
Please answer correctly !!!! Will mark Brianliest !!!!!!!!!!!!!!
Witch problem strategy would be the best to solve this problem?
Austin, Texas is two hours ahead of San Diego, California. If the time in
Austin is 1:00 P.M., what time is it in San Diego?
A) guess, check and revise
B) use a formula
C) work backwards
D) write an equation
Answer: C
Step-by-step explanation:
You would work backwards. So it would be 1:00-2 hours so the answer would be 11:00 A.M
PLZ HELP! I WILL GIVE BRAINLIEST! Factor 400 completely. Write all prime factors in order and use the 'power' notation.
Answer:
400= 2 x 2 x 2 x 2 x 5 x 5 = 2/4 x 5/2
Item 4 Greg has a piece of rope 18 ft long. He wants to cut it into two pieces so that the longer piece is 2 ft less than 3 times the length of the shorter piece. How long will each piece of rope be
The length of the shortest piece is 5, and the longest piece is 13 feet by solving the equations.
The length of the shortest piece is 5, and the longest piece is 13 feet.
the solution is as follows,
Greg has a piece of rope that is 18 ft long.
He wants to cut it into two pieces so that the longer piece is 2 ft less than three times the length of the.
Let the length of the shorter piece be x.
And the length of the longer piece is 3x -2.
Greg has a piece of rope that is 18 ft long.
Then,
longest piece+ shorter piece = 18
x + 3x -2 = 18
4x - 2 =18
4x = 18+2
4x = 20
x= 20/4
x = 5.
Therefore,
The length of the shorter piece is x =5.
And the length of the longer piece = 3x -2 = 3(5)-2 = 15-2 = 13
Hence, the length of the shortest piece is 5, and the longest piece is 13 feet.
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A triangle has an area of 70 square kilometers and a height of 10 kilometers.what is the length of the base?
Answer:
14km
Step-by-step explanation:
HELPPPPPP PLEASEeeeeeeeeeeeeee
Answer:
x ≥ 2
Step-by-step explanation:
the solid circle at 2 indicates that x can equal 2
the arrow points to the right indicating values of x greater than 2 , then the inequality being represented by the number line is
x ≥ 2
the piece wise defined function f(x) is graphed below. What is the value of f(2)? PLS HELP THIS IS TIMED
Answer:
B
Step-by-step explanation:
We have to look at the full dot
Stacy bought gas for her car . Gas cost$143.54 per liter. Stacy bought 12.4 liters. What was the total cost for Stacy gas express the answer as dollars and cents
Answer:
$1779.896
Step-by-step explanation:
From the above question
1 liter = $143.54
12.4 liters = $x
Cross Multiple
1 liter × $x = 12.4 liters × $143.54
$x = 12.4 liters × $143.54/1 liter
$x = $1779.896
Therefore, the total cost for Stacy gas in dollars and cents is $1779.896
What is the degree of the polynomial 7x3 5x 4x5 2x2?
The degree of the polynomial as calculated from the given data7x³ + 5x + 4x⁵ + 2x² is 5 .
The given polynomial is 7x³ + 5x + 4x⁵ + 2x²
To find the degree of the polynomial we will write the equation down in the descending power of x
which is ,
4x⁵ + 7x³ + 2x² + 5x
Here , the highest power of the variable that appears with nonzero coefficient is 5.
So ,degree of the polynomial is said to be 5.
The hightest power of the variable in a polynomial is known as the degree of the polynomial. A polynomial expression is made up of constants and variables.
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Blair has a box of candy to sell. She has 4 chocolate bars, 4 fruit chews, 1 pack of bubble gum and 3 sour candies. If she chooses a piece of candy at random, how many possible outcome are there?
Answer:
12 possible outcomes
Step-by-step explanation:
The equation to find the possible outcomes is:
possible outcomes x total
We know she picks 1, so we have
1 x 12 = 12 possible outcomes
So, there are 12 possible outcomes
What is the pattern?
What steps would you do to solve n/7+3 greater than or equal to -4?
Answer:
the answer is n ≥ -49
here are the steps for solving-
the problem Is like n/7+3 ≥ -4
1. First subtract 3 from both sides. After doing that, the inequation should be Like This:
n/7 ≥ -7
2. since 7 is in Division form, when it goes to RHS, You multiply.
So -7 times 7 Is -49
so the answer is n≥ -49
Fill in the blank question.
Miss Wade's science class of 20 students is going on a field trip to the zoo. Each student will also take a train ride around the zoo. Mr. Sexton's class of 25 students is going on a field trip to the state park and will take a canoe trip. Admission to the zoo is twice that of the state park's entry fee as shown in the table. Each group will spend the same total amount of money.
The admission fee for the zoo and for the state park is given as follows:
Zoo: $13.State park: $6.5.How to model the situation?For the zoo, the costs are divided as follows:
Admission: 2x per student.Train ride: $3.25 per student.20 students are going to the zoo, hence the total cost spent at the zoo is given as follows:
20(2x + 3.25) = 40x + 65.
For the state park, the costs are divided as follows:
Admission: x per student.Train ride: $6.50 per student.25 students are going to the state park, hence the total cost spent at the state park is given as follows:
25(x + 6.50) = 25x + 162.50.
The costs spent at both parks are the same, hence the value of x can be obtained as follows:
40x + 65 = 25x + 162.5
15x = 97.5
x = 97.5/15
x = 6.5.
Hence the admission fees are given as follows:
Zoo: $13, as 2x = 13.State park: $6.5, as x = 6.5.Missing InformationThe table is given by the image presented at the end of the answer.
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help please
A mirror is 8 inches by 15 inches. The distance between opposite corners of the mirror is ___ inches
Answer:
17
Step-by-step explanation:
8²+15²=289
√289=17
Remember, Pythagorean theorem
prove if the given triangles are similar. list the supporting reasons
Answer:
rreflextion across x the reflection across y
Side D and B are both congruent
Step-by-step explanation:
please answer all 3 questions thank you~!!!!
Answer:
X of M is 6, Y of M is 4, Pair is (6,4)
Step-by-step explanation:
M = 6
M = 4
M (6,4)
The table shows a linear function. What is the rate of change?
Hours
Pay
1
18
1.5
23
2
28
2.5
33
3
38
Answer:
rate of change = 5
Step-by-step explanation:
the slope m gives the measure of the rate of change of the function
calculate the slope m using the slope formula
m = [tex]\frac{y_{2-y_{1} } }{x_{2-x_{1} } }[/tex]
with (x₁, y₁ ) = (3, 38) and (x₂, y₂ ) = (1, 18) ← 2 ordered pairs from the table
m = [tex]\frac{18-38}{1-3}[/tex] = [tex]\frac{-20}{-2}[/tex] = 5
then rate of change = 5
Gregory(g) is 20 years older than his cousin Mark(m). Mark is 6 years younger than his
sister Louanne(L). Write an expression to represent the sum of their ages.
An expression to represent the sum of their ages is as follows.
g = 14 + L
How do you figure up the total age?If the ratio of the ages of X and Y is p:q and their sum is X, then the following formula can be used to calculate Y's age: Age of Y = Y/Total Ages x Total Ratios. Age of Y = (p+q) q x A.
According to the given information:Assume that L is Louannel's sister's age, m is Mark's age, and g is Gregory's age.
Gregory's age difference with his cousin Mark, who is 20 years older (m).
∴ g = 20 + m .............(1)
Also given that Mark is 6 years younger than his sister Louanne(L)
∴ m = L - 6 ............(2)
Now, substituting m = L - 6 from (2) in (1),
∴ g = 20 + L - 6
∴ g = 14 + L
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A six-foot long ladder is leaning against a wall. The bottom of the ladder is 3 feet away from the wall. How high up the wall is the ladder
The six-foot long ladder is 3√5 feet high up the wall having 3 feet distance from bottom of the ladder.
How to find height ?The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides. In this case, the ladder is the hypotenuse, and the wall and the ground make up the other two sides.
The ladder is 6 feet long, and the bottom of the ladder is 3 feet away from the wall, so the triangle is a 3-4-5 right triangle, which means the wall is 3 feet high.
So, if we square the length of the ladder (6^2 = 36)
The length of the base (3^2 = 9),
and add them together, then take the square root of that, we get the height of the wall.
sqrt(36+9) = sqrt(45) = 3*sqrt(5)
so the ladder is 3√5 feet high up the wall.
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Is horizontal the Y?
Yes, if the value of y = 0 then it makes the horizontal line.
The term horizontal line is defined as one that goes from left to right.
And here we also know that they are parallel to the x –axis in the coordinate plane.
And the horizontal line has a slope of zero.
While we looking into the move along the right of the line, then it does not rise or fall at all.
Here we have to the that the following factors are also included in feature:
In as the horizontal line is parallel to the x-axis and it is parallel to the horizon.
Where as the horizontal line is a sleeping line and it is also defined as can be a sleeping, standing, or a slanting line.
Where the horizontal line is perpendicular to the y-axis.
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pleaseee help me!
.
How do you solve a math problem step by step?
Reading a math word problem through to the end will help you comprehend what you need to do in order to solve it. After reading it, you may determine which components of the issue that need to be resolved are the most important and which are not.
There are few basic steps to be followed while solving any mathematics problem:
1. Read and understand the problem.
2. Identify what is given and what is needed to solve the problem.
3. Choose an appropriate strategy to solve the problem.
4. Carry out the strategy.
5. Check your answer to make sure it is correct.
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Write the coordinates of the vertices after a rotation 90°
counterclockwise around the origin.
Answer:
see explanation
Step-by-step explanation:
under a counterclockwise rotation about the origin of 90°
a point (x, y ) → (- y, x ) , then
C (1, 9 ) → C' (- 9, 1 )
D (4, 9 ) → D' (- 9, 4 )
E (0, 3 ) → E' (- 3, 0 )
Twenty-four students brought their permission slips to attend the class field
trip to the local art museum. If this represented eight tenths of the class, how
many students are in the class? Use a bar diagram to solve arithmetically.
Then use an equation to solve algebraically.
Answer:
6 Students stayed in class
30 Students in Total
Step-by-step explanation:
Since there are 8/10 people on the trip, you divide the numerator(8) by 24
24 divided by 8 is 3. Also 3 x 8 is 24 so its proper
3 x 2 is 6 and 6 + 24 is 30
30 is 10/10 in this question so 6 is the answer for those who stayed in class and there is 30 in total
Two numbers are consecutive positive multiples of 3. Three times the larger of the numbers is 7/10of 5 times the smaller. What are the numbers?
Answer:
18 and 21
Step-by-step explanation:
Let the smaller number = 3x
Let the larger number = 3x + 3
The three and the plus 3 insure that the numbers are multiples of 3 and are consecutive.
3* (3x + 3) = 7/10 * 5 (3x) Multiply both sides by 10
30*(3x + 3) = 7 * 5 * 3x Remove the brackets
90x + 90 = 7 * 5 * 3x Combine the right
90x + 90 = 105x Subtract 90x from both sides.
-90x -90x
90 = 15x Divide by 15
x = 90/15
x = 6
Let's see if it works.
3*(3x + 3) = 3*(18 + 3) = 3 * 21 = 63
7/10 * 5 *3x = 7/10 * 5 * 3*6 = 630 / 10 = 63
Please help me with my HW
Answer:
24d^5
Step-by-step explanation:
(8.5 x 10^3) (2 x 10^5)
Answer:
Simplified = 1.7×109
1.7×109 = 185.3
Can someone please help me with this algebra
The tables show the prices for ordering team jerseys from two different companies. You can use the information to write ratios showing the relationship between the cost and the corresponding number of jerseys.
Company A: 1/5=5 25/5=5 50/10=5 75/15=5.
These ratios are all equivalent
This relationship is proportional.
company B: 5/1=5 20/5=4 40/10=4 69/15=4.
These ratios are not all equivalent.
This relationship is not proportional.
Is the ratio constant or varying for company B? Explain
When we compare two ratios, they are said to be equivalent. To determine whether two or more ratios are equivalent, they can be compared to one another. For instance, the ratios 1:2 and 2:4 are equivalent.
Find the equivalent ratio by what method?Equivalent ratios are two ratios with the same value. By multiplying or dividing the two amounts by the same number, you can determine the equivalent ratio. Finding equivalent fractions follows the same procedure.
A ratio formula is what?The ratio formula can be used to represent a ratio as a fraction. The ratio formula is given as a:b = a/b for any two quantities, let's say a and b.
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