Part C Find the values for a and b. Explain or show your reasoning. Answer Part D What is the y-coordinate when x = 0? Explain or show your reasoning. Answer
Answers
Answer:
(a)
[tex]b = 6[/tex] and [tex]a = 5[/tex]
(b) [tex]x = 1[/tex]
Step-by-step explanation:
Given
[tex](x_1,y_1) = (2,2)[/tex]
[tex](x_2,y_2) = (4,b)[/tex]
[tex](x_3,y_3) = (a,8)[/tex]
[tex](x_4,y_4) = (6,10)[/tex]
See attachment
Solving (a): The values of a and b
First, calculate the slope of the line:
[tex]m = \frac{y_c - y_d}{x_c - x_d}[/tex]
Let c = 4 and d = 1
[tex]m = \frac{y_4 - y_1}{x_4 - x_1}[/tex]
So, we have:
[tex]m = \frac{10 - 2}{6 - 2}[/tex]
[tex]m = \frac{8}{4}[/tex]
[tex]m = 2[/tex]
To solve for the value of b, we apply slope formula
[tex]\frac{y_c - y_d}{x_c - x_d} = m[/tex]
Let c = 2 and d = 1
So, we have:
[tex]\frac{y_2 - y_1}{x_2 - x_1} = m[/tex]
Substitute 2 for m and [tex](x_1,y_1) = (2,2)[/tex] ; [tex](x_2,y_2) = (4,b)[/tex]
[tex]\frac{b - 2}{2} = 2[/tex]
Multiply both sides by 2
[tex]2 * \frac{b - 2}{2} = 2 * 2[/tex]
[tex]b - 2 = 4[/tex]
Add 2 to both sides
[tex]b - 2 +2= 4 + 2[/tex]
[tex]b = 6[/tex]
To solve for the value of a, we apply slope formula
[tex]\frac{y_c - y_d}{x_c - x_d} = m[/tex]
Let c = 3 and d = 1
[tex]\frac{y_3 - y_1}{x_3 - x_1} = m[/tex]
Substitute 2 for m and [tex](x_1,y_1) = (2,2)[/tex] ; [tex](x_3,y_3) = (a,8)[/tex]
[tex]\frac{8 - 2}{a- 2} = 2[/tex]
[tex]\frac{6}{a- 2} = 2[/tex]
Cross Multiply
[tex]2(a-2) = 6[/tex]
Open bracket
[tex]2a-4 = 6[/tex]
Add 4 to both sides
[tex]2a-4+4 = 6+4[/tex]
[tex]2a= 10[/tex]
Divide both sides by 2
[tex]a = 5[/tex]
Solving (b): The value of y when x = 0.
This point is represented as: [tex](x_5,y_5) = (x,0)[/tex]
Apply slope formula
[tex]\frac{y_5 - y_1}{x_5 - x_1} = m[/tex]
Substitute 2 for m and [tex](x_1,y_1) = (2,2)[/tex] [tex](x_5,y_5) = (x,0)[/tex]
[tex]\frac{0 - 2}{x - 2} = 2[/tex]
[tex]\frac{- 2}{x - 2} = 2[/tex]
[tex]-\frac{2}{x - 2} = 2[/tex]
Cross Multiply
[tex]-2 = 2 * (x - 2)[/tex]
[tex]-2 = 2 x - 4[/tex]
Collect Like Terms
[tex]4 - 2 = 2x[/tex]
[tex]2 = 2x[/tex]
Divide both sides by 2
[tex]1 = x[/tex]
[tex]x = 1[/tex]
Related Questions
The ratio of the number of adults to the number of children at a restaurant is 3: 7. Identify the choice(s) below
that represent an equivalent ratio.
A 15:35
B 6:14
C 21:9
D 8:12
E 30 : 70
Answers
Answer:6:14
Step-by-step explanation:
what is 46274648354846374 times 77466
Answers
:)))))))))))))
The sum of a number and 13 is the same as the difference of 29 and the number. Find the number.
Answers
Answer:
16
Step-by-step explanation:
im pretty sure
Which statement is true ?
Answers
Answer:
the second one
Step-by-step explanation:
6th grade math!!!!!!!!!!!
Answers
Answer:
8(y-3) and 8y-24
Step-by-step explanation:
The parentheses mean that you're multiplying 8 and the difference of y and 3.
If you carry out the distributive property, you'll get 8y-24
Answer:8(y-3) and 8y-24
Step-by-step explanation:
I've had this problem before on a different test!
V/7=5
Solve for v
(I need help right now)
Answers
Answer:
V=35
Step-by-step explanation:
[tex]\frac{V}{7} =5[/tex]
Start by multiplying by 7 on both sides:
V=35
Answer:
35
Step-by-step explanation:
5 times 7 is 35 so v divided by 7 is 5
There are 13 apples in a basket. 5 of these apples are green. The rest of them are red.
(a) What is the ratio of all apples in the basket to red apples?
(b) What is the ratio of red apples to green apples?
Answers
Answer:
A) 13:8
b) 8:5
Step-by-step explanation:
In this question, we will be making ratios.
Ratios are represented as a:b whereas "a" and "b" represent the different scenarios.
(a) What is the ratio of all apples in the basket to red apples?In this question, we need to make ratio with total apples and red apples.
We will write the ratio in respective order, or from left to right in the statement.
We know that our total amount of apples is 13, so that would go on the left side of the ratio.
We need to find the amount of red apples in the basket. We already have 5 green apples, so subtract 5 from 13.
13 - 5 = 8
We have 8 red apples, so that would go on the right side of the ratio.
Your ratio should be:
13:8
(b) What is the ratio of red apples to green apples?In this question, we have to make a ratio of red apples to green apples.
We know that there are 8 red apples, we also know that there's 5 green apples.
With this information, we can make our ratio:
8:5
Evaluate the expression.
(-5)(5) +5=
Answers
Answer:
Step-by-step explanation:
Here you go mate
Step 1
(-5)(5) +5 Equation
Step 2
(-5)(5) +5 Simplify
(-5)(5) +5
Step 3
(-5)(5) +5 Add and multiply them
(-25)+5
answer
-20
Order from least to greatest. 41/50, .83, 80%
Answers
Answer:
Step-by-step explanation:
Ok so if we turn these all to frections with a denominator of 100 we will have
82/100, 83/100, and 80/100. So it will be 80%, 41/50, 0.83.
Answer:
80%, 41/50, 0.83.
___________________________
Showing Work
Using the given inputs:
41/50 83 80%
Rewriting these inputs as decimals:
41/50 83 80%
0.82 83 0.8
Sorting this table by decimal values in order from least to greatest:
80% 41/50 83
0.8 < 0.82 < 83
Therefore, the sorted inputs in order from least to greatest is:
80% < 41/50 < 83
Hope this helps!
Jupiter,Saturn or Uranus?
Answers
Answer:
Jupiter :)
Step-by-step explanation:
What is the slope of a line that passes through the origin and the point (-2,1)?
Answers
Given:
A line passes through the origin and the point (-2,1).
To find:
The slope of the line.
Solution:
If a line passes though two point, then the slope of the line is
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
It is given that a line passes through the origin, .i.e., (0,0) and the point (-2,1). So, the slope of the line is
[tex]m=\dfrac{1-0}{-2-0}[/tex]
[tex]m=\dfrac{1}{-2}[/tex]
[tex]m=-\dfrac{1}{2}[/tex]
Therefore, the slope of the line is [tex]-\dfrac{1}{2}[/tex].
Rite the phrase as an expression. Then evaluate when y=20. 3 less than the quotient of a number y and 4 Expression: When y=20, the value of the expression is .
Answers
Answer:
[tex]\frac{y}{4} - 3[/tex]
[tex]\frac{y}{4} - 3 = 2[/tex] -- when y = 20
Step-by-step explanation:
The quotient of y and 4 can be represented as:
[tex]\frac{y}{4}[/tex]
3 is less the above expression is:
[tex]\frac{y}{4} - 3[/tex]
So, the required expression is: [tex]\frac{y}{4} - 3[/tex]
When y = 20, we have:
[tex]\frac{y}{4} - 3 = \frac{20}{4} - 3[/tex]
[tex]\frac{y}{4} - 3 = 5 - 3[/tex]
[tex]\frac{y}{4} - 3 = 2[/tex]
Answer:
555
Step-by-step explanation:
edge test 100%
John went to the store and bought 4 pencils
and 10 binders and spent $64. Carmen went
to the same store and bought 7 pencils and 4
binders and spent $31. If Lisa wants to buy
pencils and binders from the same store,
how much should they tell her each item
costs?
Answers
X= pencils and Y= binders
4x + 10y = 64
7x + 4y= 31
Pencils are $1 each and binders are $6 each.
3y + x = 12
What is the value of x when y = 3?
Answers
Step-by-step explanation:
3y + x = 12
When y = 3, we have 3(3) + x = 12.
=> 9 + x = 12, x = 3.
Which of the following statements is true?
Answers
Answer:
B - (0,0) is a solution to n = m and to n = 4m
Step-by-step explanation:
The only place where a number meets the same value multiplied by 4 is at (0,0). Otherwise it's just the same function just with a different slope
What integer describes a decrease of seven? (A. 7 / B. -7 / C. 0 / D. 1/7)
Answers
Answer:
I thin B -7 cause its negative and negative goes down.
Step-by-step explanation:
find the smaller number of two consecutive odd numbers such that the sum of the larger numbers and twice the smaller number is 27 less than four times the smaller number
Answers
Answer: 29
Step-by-step explanation:
Let the smaller number be x
Let the bigger number be x+2
The information given in the question can be represented in a equation as:
x + 2 + 2x = 4x - 27
3x + 2 = 4x - 27
4x - 3x = 27 + 2
x = 29
The smaller number is 29
math work is hard pt1
Answers
Answer:
1. y = 3x - 2
2. [tex]y = \frac{1}{2} [/tex]
3. [tex]y = \frac{3}{2} x + 4[/tex]
4. y = -3x + 5
5. y = x - 6
▪Happy To Help <3
Is this question -true or false- I dont know
Answers
Answer: FALSE
Step-by-step explanation:
Here is a rectangle ABCD.
The length of the rectangle is increased by 10%.
The width of the rectangle is increased by 5%.
Find the percentage increase in the perimeter of the rectangle.
Answers
Answer:
it will increase 5 percent
Answer:
8%
Step-by-step explanation:
An online clothing company sells custom sweatshirts. The company charges
$5.50 for shipping plus $8.00 for each sweatshirt. Write a linear function rule that models the total
costy (in dollars) for any number of sweatshirts x
Answers
The y-intercept / initial value in the problem is $5.50 because that is what you have to pay and it’s basically your initial value whereas $8.00 is your slope or rate if change because that is why you have $8.00x which means that whatever number of sweatshirts you buy, they will each cost you $8.00.
In degree measure, the angles pie/3, pie/4, and pie/2 are respectively
Answers
Answers:
pi/3 radians = 60 degreespi/4 radians = 45 degreespi/2 radians = 90 degrees=======================================
Explanation:
To apply the conversion, we use the idea that pi radians is equivalent to 180 degrees
pi radians = 180 degrees
To convert from radians to degrees, we'll multiply by the conversion factor (180/pi)
This leads us to the following:
(pi/3 radians)*(180/pi) = (pi*180)/(3*pi) = 180/3 = 60. So pi/3 radians converts to 60 degrees(pi/4 radians)*(180/pi) = (pi*180)/(4*pi) = 180/4 = 45. So pi/4 radians converts to 45 degrees(pi/2 radians)*(180/pi) = (pi*180)/(2*pi) = 180/2 = 90. So pi/2 radians converts to 90 degreesHow much is 47% of 47% of 47% of 47% of $60? Round your answer to the nearest penny.
AND PLEASE LET ME KNOW HOW YOU SOLVED IT!!
Answers
”of” means “times” or ×.
47% of 47% of 47% of 47% of $60 = 0.47×0.47×0.47×0.47×$60 = 0.47^4 ×$60 ≈ $2.93
move the numbers to the lines to appear in order from least to greatest.
_,_,_,_,_
|-2/3| , |0.8| , 0.75 , 1/4 , -0.3
Answers
Plz Plz plzzzzzz answer
Answers
Answer:
c i think
Step-by-step explanation:
also i like anime to!
Answer:
c I think I might be wrong tho
Adidea Corp regularly buts merchandise from vendors. It just purchased 1,000 units on credit from one of its vendors. How will the company record this transaction
Answers
Answer:
You did not include the price they bought the units at.
I will assume this price is $5.
= 5 * 1,000
= $5,000
Recording it will be:
Account Debit Credit
Merchandise Inventory $5,000
Accounts Payable $5,000
the length of the hypotenus of a certain right triangle is 50 inches and the length of its legs is 40 inches . what is the length in inches of the other leg of the triangle
Answers
Answer:
The length of the other leg of the triangle is 30 inches.
Step-by-step explanation:
Pythagorean: a^2+b^2=c^2
50=hypotenuse
50^2-40^2=missing leg
50^2=2500
40^2=1600
50^2-40^2=900
[tex]\sqrt{900}[/tex]=30
30 is missing leg
The length of the other leg of the triangle is; 30 inches.
What is the right triangle?A right-angle triangle is a triangle that has a side opposite to the right angle the largest side and is referred to as the hypotenuse. The angle of a right angle is always 90 degrees.
We have been given that the length of the hypotenuse of a certain right triangle is 50 inches and the length of its legs is 40 inches.
Using Pythagorean:
[tex]a^2+b^2=c^2[/tex]
50 = hypotenuse
Let the missing length is x.
x² = 50^2-40^2
x² = 2500 - 1600
x² = 900
x =30
Hence, the length in inches of the other leg of the triangle is 30.
Learn more about a right angle;
https://brainly.com/question/7116550
#SPJ2
Which fraction and decimal forms math the long division problem
Answers
Answer:
4/15 and 0.26
Step-by-step explanation:
Here, we want to write the fraction and decimal that matches the division problem
The division problem is simply 4/15 in fraction
In decimal, this is 0.2667
please help im so lost lol
Answers
Answer:
B, C, and E
Step-by-step explanation:
6(x+4)+35
B) 6x+ 6(4)+ 35 (They just distributed the 6 to the x but left the 4 undistributed)
C) 35+6(x+4) (If addition or subtraction, moving the numbers won't change the sum/difference)
E) 6(4+x)+35 (If addition or subtraction, moving the numbers won't change the sum/difference)
Answer:
I Honestly Dont Know Sorry haahahhahaha Go F ur self
Step-by-step explanation:
A calculator is listed for $110 and is on clearance for 35% off. Sales tax is 7%. What is the cost of the calculator?
Answers
Answer:
$76.51
Step-by-step explanation:
I found how much the calculator cost on clearance first. Then I found the sales tax and added them together.