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
x
3
4
5
6
y
9
12
15
8
Answers
Answer: (x34, y912)
Step-by-step explanation: Because (x34, y912) equals (x34, y912) :)
Answer:
x = 2, y = 6
Step-by-step explanation:
I'm assuming you're finding the pattern and then finding x and y, in which case it would be:
In the first one (x, 3, 4, 5, 6) you can see it goes up by 1 each time so x is just 2.
In the second one (y, 9, 12, 15, 18) it goes up by 3 each time so y = 9-3 = 6.
A baseball team had 80 players show up for tryouts last year and this year had 96 players show up for tryouts. Find the percent increase in players from last year to this year.
(Please dont just give the answer. I would appreciate it if you would put how to find the answer. Thanks )
Answers
Answer: x/100 = 96 - 80/80
so you multiply 80 times x and multiply 96-80 by 100 so
80x=1600
x= 20%
Step-by-step explanation:
I have a square with a side of 5.25 in. There is a circle inside this square that is big enough to touch all four sides. What is the area that is not inside the circle?
Answers
Answer:
5.9125in^2
Step-by-step explanation:
Step one:
Given data
Dimension of square= 5.25 in
Area of sqaure= 5.25^2= 27.5625 in^2
We are told that the sides of the circle touch the sides of the square
hence the diameter of the circle is 5.25in
radius= 5.25/2= 2.625 in
Area of circle= πr^2
Area of circle = 3.142*2.625^2
Area of circle=3.142*6.890625
Area of circle= 21.65 in^2
Step two:
The area that is not inside the circle
=Area of square-Area of circle
=27.5625- 21.65
=5.9125in^2
Let P(–2, 5) and Q(–5, 9). The component form of Vector P Q is . The magnitude of Vector P Q is . To the nearest degree, the direction angle of Vector P Q is . If Vector P Q is multiplied by the scalar –10, the new vector will be the original vector.
Answers
Answer:
Let P(–2, 5) and Q(–5, 9).
The component form of Vector P Q is – 3, 4
The magnitude of Vector P Q is 5
To the nearest degree, the direction angle of Vector P Q is 127º
If Vector P Q is multiplied by the scalar –10, the new vector will be in the opposite direction but longer than the original vector.
Answer:
Step-by-step explanation:
What is the probability that you flip a penny 4 times and it lands on tails all four times in a row?
Group of answer choices
1/8
1/16
1/4
1/2
Answers
Answer: 1/8
Step-by-step explanation:
Since flipping a coin once and it landing on tails is 1/2, multiply it by however many times you flip it, and that will be you're answer.
What type of function is y=2^x +8
Answers
Answer:
y = 2ˣ + 8 represents the exponential function.
The graph of the function y = 2ˣ + 8 is also attached below.
Step-by-step explanation:
We know that the general exponential function is of the form
f(x) = aˣ
were a > 0
Given the function
y = 2ˣ + 8
Comparing with y = aˣ, it is clear that the function y = 2ˣ + 8 represents the exponential function.
where a = 2
We can also determine the y-intercept of y = 2ˣ + 8 by setting x = 0, and determining the corresponding value of y.
i.e.
y = 2ˣ + 8
y = 2⁰ +8 ∵ 2⁰= 1
y = 1+8
y = 9
Thus, (0, 9) represents the y-intercept of the exponential function y = 2ˣ + 8.
Therefore, y = 2ˣ + 8 represents the exponential function.
The graph of the function y = 2ˣ + 8 is also attached below.
There are 32 students on a large bus, and the rest are on a smaller bus. If 30% of the students are on the smaller bus, how many total students are on the two buses?
Answers
Answer:
46 total
Step-by-step explanation:
32 on large bus
30% on small bus
32 =70%
100%=32/70 x(100)=46
giving points and brainly
Answers
Answer:
A 159.25 to the second power
Step-by-step explanation:
he simplest (and most commonly used) area calculations are for squares and rectangles. To find the area of a rectangle, multiply its height by its width. For a square you only need to find the length of one of the sides (as each side is the same length) and then multiply this by itself to find the area.
Plssssssssss help????????
Answers
Step-by-step explanation: Since the equation of this line is written in
slope-intercept or y = mx + b form, its slope or m is represented by the
coefficient of the x term which in this case is 8/5.
It's y-intercept or b is represented by
the constant term which in this is -5.
To graph the line, start with the y-intercept of -5.
So go down 3 units on the y-axis, plot a point at (0, -3).
From there, take your slope of 8/5, so rise 8 units
and run 5 units the right which should leave you at (5, 3).
Graph the line through those points.
Which equation best represents the relationship between x and y in the graph? A) y = - 3 4 x - 3 B) y = - 4 3 x - 3 C) y = - 3 4 x - 4 D) y = - 4 3 x - 4
Answers
=
14
,
⇒
the length of each leg
=
14
√
2
=
7
√
2
Check :
(
7
√
2
)
2
+
(
7
√
2
)
2
=
196
=
14
2
(OK)
If two lines are parallel, and one line has a slope of 3/2, what is the slope of the other line?
Answers
Expressed answers As reduced fraction. Find the trig value.
Tan A=
Answers
Answer:
The value of tan A: 40/9
i.e.
tan A = 40/9
Step-by-step explanation:
Given
Hypotenuse = 41
To determine
m ∠ A = ?
Using the trigonometric ratio
tan A = opposite / adjacent
Here:
Opposite of m ∠ A = 40Adjacent of m ∠ A = 9Thus, substituting opposite = 40 and adjacent = 0 in the equation
tan A = opposite / adjacent
tan A = 40/9
Therefore, the value of tan A: 40/9
i.e.
tan A = 40/9
The figure to the right has its congruent segments marked. Find the measure of AB.
AB=__ meters
Answers
Answer:
the measure of AB =29 meters
Answer:
the guy above me is wrong its 13
Step-by-step explanation:
Write an algebraic equation and solve. Lisa needed to make a fruit salad. She bought 5 oranges for x dollars and 2 packs of strawberries for $5.00 each. She spent a total of $20.25. What is the price of 1 orange?
Answers
Answer:
The cost of 1 orange is $2.05.
Step-by-step explanation:
Lisa needed to make a fruit salad. She bought 5 oranges for x dollars and 2 packs of strawberries for $5.00 each. She spent a total of $20.25.
Cost of 5 oranges = $5x
Cost of 2 packs of strawberries = 2×5 = $10
ATQ,
5x + 10 = 20.25
Subtract 10 both sides
5x + 10 -10 = 20.25-10
5x = 10.25
x = 2.05
So, the cost of 1 orange is $2.05.
Simplify 3/100 + 33/100 Correct to
1 decimal place
Answers
Answer:
9/25 = 0.36
Step-by-step explanation:
CLICK THAT CROWN AND THANK YOU BUTTON
Answer:
9/25 = 0.36
Step-by-step explanation:
–5x + 4 – x –1 a. terms: -5x, 4, -x, -1; like terms: -5x, -x; 4, -1; coefficients: -5, -1; constants: -1 b. terms: -5x, 4, -x; like terms: -5x, -x; 4, -1; coefficients: -5, -1; constants: 4, -1 c. terms: -5x, 4, -x, -1; like terms: -5x, -x; 4, -1; coefficients: -5, -1; constants: 4, -1 d. terms: -5x, 4, -x, -1; like terms: -5x, -x; 4, -1; coefficients: 4, -1; constants: -5, -1
Answers
Given:
The expression is
[tex]-5x+4-x-1[/tex]
To find:
The terms, like terms, coefficients and constants.
Solution:
We have,
[tex]-5x+4-x-1[/tex]
It can be written as
[tex]=(-5x)+4+(-x)+(-1)[/tex]
So, terms are [tex]-5x,4,-x,-1[/tex].
It two terms have same variable of same degree, then they are called like terms.
[tex]-5x,-x[/tex] are likes terms because degree of variable is 1 and 4, -1 are like terms because degree of variable is 0.
In the product of a number and a variable, the number is called coefficient.
Variable terms are [tex]-5x,-x[/tex]. So, coefficients are -5 and -1.
Constant terms are free from variable. So, constant terms are 4 and -1.
Terms: [tex]-5x,4,-x,-1[/tex];
Like terms: [tex]-5x, -x;4, -1[/tex];
Coefficients: -5, -1;
Constants: 4, -1
Therefore, the correct option is c.
What is the range of the graph?
Answers
Answer:
y ≥ -1
Step-by-step explanation:
range consists of all y-values contained in the solution set
the lowest y-value (as seen by the graph) is negative 1
HELPPPPP PLEASEEEE!!!!
Answers
Answer:
pretty sure x is 60 because 60+25 is 80 and its the same as N so 80
Step-by-step explanation:
I’m not sure if it’s 1 but I know it’s not 3 and if you answer please Give an explanation!
Answers
Answer:
1
Step-by-step explanation:
if you substitute 1 in for x, you would see that 5 = 5
hope this helps!
Help me please. Id appreciate it greatly
Answers
Answer:
1.39
2.4/5
3. 4/5t+39
4. 4
5.4/3
6.4/3g+4
i hope i got this right.
Select all that are equal to 5^3• 5^-7
Answers
Answer: its b and c
Step-by-step explanation:
100 points! Will mark brainliest! Only answer if you know what it is! Any random answers WILL be reported
Answers
Answer:
Answer : False.
Step-by-step explanation:
Hey there!
The equations of line a and line b are:
line a : y= 5x-6...........(i)
line b : x+5y= 5..........(ii)
Firstly find the slope of both equation.
To find slope of first equation;
y= 5x-6
Comparing the equation with y= mx+c. We get;
Slope (m1) = 5.
Now,
To find slope of second equation;
Slope (m2) = (-coefficient of x)/(coefficient of y)
Slope (m2) = (-1/5)
Therefore, the slope of second equation is -1/5.
As per the condition of parallel lines, slope of 1st equation should be equal to 2nd equation.
Now, comparing their slopes;
5≠(-1/5)
Therefore, the answer is "False".
Hope it helps....
Line A
y=5x-6Compare to slope intercept form
slope=m=5LineB
x+5y=55y=5-xy=1-1/5xSlope
k=-1/5As slopes are negative reciprocal to each other lines are perpendicular to sach other not parallel
Hence it's False
MARKING BRAINLIEST!!!!
Answers
Answer:
12
Step-by-step explanation
Can you please help? :)
Answers
Answer:
okay I also have no idea why why r busy and see
Answer:
i'm gonna say the answer is 16cm
Step-by-step explanation:
12/6 = 2
8/16 = 2
Which number has 21 as a multiple? 2 6 7 11
Answers
Answer:
7
Step-by-step explanation:
7x3=21
Answer:
7
Step-by-step explanation:
21÷7=3
Find the slope of the line that passes through (9,4) and (4,11)
Answers
hope this helps
2x² + 3 × (-x²) + 6x + 2
Answers
Answer:
1x²+5 x 6x
Step-by-step explanation:
In the graph of an inequality, the region to the right of a dashed vertical line
through the point
(-4,0) is shaded. What inequality does the graph represent?
Answers
Answer:
x is greater than -4
Step-by-step explanation:
Answer:
x > -4
Step-by-step explanation:
hurry up pls!!!!!!! How can shaded regions on a graph model inequalities?
Answers
Write the equation for the graph below:
HELP
Answers
help
9/6
what 72 ty76uddjxxjhzh38488