Can someone please help me with #14 and #15?
14.Given y=2(x - 10)+3, write an equation in point slope and slope intercept form that is:
a) Parallel and goes through (-4,1).
b) Perpendicular and goes through (-4,1).
15.Given 5x+2y=7
a.Find an equation parallel to the equation and through (0,10).
b.Find an equation perpendicular to the equation and through (0,10).
This picture is an example of what the answers should look like.
Answers
Problem 14, Part (a)
The given equation y = 2(x-10)+3 has a slope of m = 2. Anything parallel to this will also have the same slope, but a different y intercept.
Let's find the point slope form of the parallel line through (-4,1)
[tex]y-y_1 = m(x - x_1)\\\\y-1 = 2(x - (-4))\\\\y-1 = 2(x + 4)\\\\[/tex]
The point slope form is: y-1 = 2(x+4)Now solve for y to get the slope intercept form.
[tex]y-1 = 2(x + 4)\\\\y = 2(x + 4)+1\\\\y = 2x + 8+1\\\\y = 2x + 9\\\\[/tex]
The slope intercept form is: y = 2x+9============================================================
Problem 14, Part (b)
The original slope is m = 2. Apply the negative reciprocal to go from 2/1 to -1/2. The perpendicular slope is -1/2.
Using the same point (-4,1), we find that the point slope form is...
[tex]y-y_1 = m(x - x_1)\\\\y-1 = -\frac{1}{2}(x - (-4))\\\\y-1 = -\frac{1}{2}(x+4)\\\\[/tex]
The point slope form is: y-1 = (-1/2)*(x+4)Now solve for y
[tex]y-1 = -\frac{1}{2}(x+4)\\\\y = -\frac{1}{2}(x+4)+1\\\\y = -\frac{1}{2}x-2+1\\\\y = -\frac{1}{2}x-1\\\\[/tex]
The slope intercept form is: y = (-1/2)x - 1============================================================
Problem 15, Part (a)
Anything parallel to Ax+By = C will be in the form Ax+By = D. The only thing changes is the C becomes D, where [tex]C \ne D[/tex]. If C = D, then we'd be talking about the exact same line rather than two parallel lines.
We're given 5x+2y = 7. The answer is in the form 5x+2y = D. Plug in (x,y) = (0,10) to find the value of D
5x+2y = D
D = 5x+2y
D = 5(0)+2(10)
D = 20
The equation 5x+2y = D updates to 5x+2y = 20
Answer: 5x+2y = 20============================================================
Problem 15, Part (b)
If you are given Ax+By = C, then anything perpendicular to this is Bx-Ay = D. Here it's possible that C = D; however, it's likely that they'll be different.
The given equation 5x+2y = 7 is perpendicular to anything of the form 2x-5y = D. We'll plug in the given point to find D.
2x-5y = D
D = 2x-5y
D = 2(0)-5(10)
D = -50
Answer: 2x-5y = -50Related Questions
Maria wrote her 606 word
essay in 20 1/5 minutes. At
what rate is she typing?
Answers
Answer:
29.5
Step-by-step explanation:
Multiply 606 and 20.5 and get 29.5.
Write 5 • 5 • 5 • 5 • 5 • 5 • 5 using an exponent.
Answers
Answer:
5^6
Step-by-step explanation:
5 was multiplied repeatedly 6 times, so it's 5 to the power of 6
Answer:
5 to the power of 6 or 5^6
Step-by-step explanation:
A chicken is born weighing 1 ounce. It gains 2 ounces each week.
Write an equation that shows the relationship between the chicken's age in weeks, x, and its
weight in ounces,
y = ?
Answers
Answer:
y = 1 + 2x
or
y = 2x + 1
Step-by-step explanation:
I hope this helps!
Let "x" represent the chicken's age.
"Y "demonstrates the ounces.
geomtry plz help 15 points
Answers
Answer:
m∠A=88°
Step-by-step explanation:
∠ABC=∠ACB=46° (base angles of isos triangle)
∠BAC=180°-46°-46° (angle sum of triangle)
=88°
Therefore, in the triangle from the picture, m
Now applying the Triangle Sum Theorem, all interior angles of a triangle must sum up to 180°.
Therefore, m
We can create an Algebraic equation to find the angle measure of angle A because we know the angle measures of angles B and C, and we know all three angles must sum up to 180°.
46+46+x=180
x = the measure of angle A
92+x=180
92-92+x=180-92
x=88
Therefore, the measure of angle A is 88°.
Are the ratios 6:1 and 19:3 equivalent?
Answers
Answer: no<3
Step-by-step explanation:
leave a thanks if helped plz
9.
Identify the point corresponding to Q.
IT'S NOT A. Q' (-3, -4)
A. Q′ (−3, −4)
B. Q′ (−4, 1)
C. Q′ (−1, −4)
D. Q′ (−4, −3)
Answers
Answer:
C(-1, -4)
Step-by-step explanation:
see the point reflected over the line through the vertex point
Answer:
D. Q′ (−4, −3)
Step-by-step explanation:
From looking at the graph it looks like the answer would be
Q= (3, -4) if the X-axis goes first
Q= (-4, 3) if the Y-axis goes first
What is the position of B on the number line below?
Write your answer as a fraction or mixed number
Answers
Step-by-step explanation:
B = 1 4/5
because 1 is completely to the left, and from the distance between 1 and 2 B is at the end of the 4th of 5 sub-segments.
and 1 4/5 would be also 9/5, because B includes the 5 sub-segments (of 5) between 0 and 1. and then the 4 of 5 sub-segments between 1 and 2. so that are 9 sub-segments in total.
and each sub-segment represents 1 out of 5 (= 1/5) parts of each number interval.
therefore, we have 9×1/5 = 9/5.
Seedless watermelon costs $.99 per pound. Find the cost per kilogram
please help and show the solution and answer thank uou
Answers
Answer:
$2.20/kg
Step-by-step explanation:
First, we must convert pounds to kilograms.
1 lb = 0.45 kg
If 1 lb costs $.99
then 0.45 kg costs $.99
0.45 kg = $.99
dividing both sides by 0.45
1 kg = .99 ÷ 0.45
1 kg = $2.20
x-10/3=5x+2/2 I need help with he next step please
Answers
Answer:
x2 the left side and x3 the right side of the equation
Answer:
X = -2
First you cross multiply, and then you expand to get 15x+6
after that its basic algebra with adding/subtracting from each side, simplifying, and then divide both sides by -13.
[tex]1 - 25x {}^{2} [/tex]
what's the answer po?
Answers
[tex]1 - {25x}^{2} \\ = (1)^{2} - (5x {)}^{2} \\ = (1 - 5x)(1 + 5x)[/tex]
Answer:(1 - 5x)(1 + 5x)
Hope it helps.
Do comment if you have any query.
you have a goal to sell 100 tickets to a school pizza party if you only completed 50 percent of your goal , did you sell more or fewer than 100 tickets ?
Answers
Answer:
you sold fewer than 100 tickets. you only sold 50 tickets out of your 100 ticket goal.
Line f passes through points (5, 10) and (9, 1). Line g is parallel to line f. What is the slope of line g?
Answers
Answer:
-9/4
also known as
-2 1/4
Step-by-step explanation:
(10-1)/(5-9) = 9/-4
parallel = same slope
Answer:
slope = - [tex]\frac{9}{4}[/tex]
Step-by-step explanation:
Calculate the slope m of line f using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (5, 10 ) and (x₂, y₂ ) = (9, 1 )
m = [tex]\frac{1-10}{9-5}[/tex] = [tex]\frac{-9}{4}[/tex] = - [tex]\frac{9}{4}[/tex]
Parallel lines have equal slopes , then
slope of line g = - [tex]\frac{9}{4}[/tex]
I need the answer ASAP please, 415 divided by 5
Answers
Answer:
83
Step-by-step explanation:
415/5
= 83
Need help from mathematics only ?
Answers
9514 1404 393
Answer:
8. 50 yards
9. 9%
Step-by-step explanation:
In each case, we fill in the given values in the formula, then divide both sides of the equation by the coefficient of the variable.
8)The missing formula is ...
A = LW . . . . where A is area, L is length, W is width
6000 yd² = (120 yd)W
W = (6000 yd²)/(120 yd) = 50 yd . . . the width of the field
__
9)The missing formula is ...
I = Prt . . . . where I is the interest on principal P at rate r for t years
1800 = 5000(r)(4)
r = 1800/20000 = 0.09 = 9% . . . interest rate on the investment
Given the two similar triangles below, which proportion is not true?
16.5 cm
12 cm
11 cm
با این
8 cm
10.5 cm
7 cm
Answers
Answer:
10.5
Step-by-step explanation:
Given the two similar triangles below, which proportion is not true?
i need help with this can ya help
8/12 = 7/10.5 11/7 = 16.5/127/8 = 10.5/1211/16.5 = 8/12Sorry i know this isnt an answer.
$332.8 30percent off
Answers
Answer:
232.96$
Step-by-step explanation:
Mr. D math
Find the distance between (12,5) and (3,4) approximated to the 1 decimal place.
select the correct response
0.2
9.3
9.1
9.4
Answers
9.1
Explanation:
Use the distance formula
d=sqrt[(x2-x1)^2 + (y2-y1)^2]
d=sqrt[(3-12)^2 + (4-5)^2]
d=sqrt[(-9)^2 + (-1)^2]
d=sqrt[81 + 1]
d=sqrt[82]
d=9.055≈9.1
Where (x1, y1) is (12,5) and (x2, y2) is (3, 4)
The distance between (12,5) and (3,4) approximated to the 1 decimal place is 9.1.
To find the distance between two points [tex]\((x_1, y_1)\)[/tex] and [tex]\((x_2, y_2)\)[/tex], we will use the distance formula:
Distance = [tex]\(\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}\)[/tex]
In this case, [tex]\((x_1, y_1) = (12, 5)\)[/tex] and [tex]\((x_2, y_2) = (3, 4)\)[/tex].
Substituting these values:
Distance = [tex]\(\sqrt{(3 - 12)^2 + (4 - 5)^2}\)[/tex]
Distance = [tex]\(\sqrt{(-9)^2 + (-1)^2}\)[/tex]
Distance = [tex]\(\sqrt{81 + 1}\)[/tex]
Distance = [tex]\(\sqrt{82}\)[/tex]
Now, approximate value of [tex]\(\sqrt{82}\)[/tex] to 1 decimal place:
[tex]\(\sqrt{82} \approx 9.1\)[/tex]
So, the correct response is 9.1.
Learn more about distance here:
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What are the x - intercepts of the graphed function
Answers
Answer: second one is the correct answer
Step-by-step explanation:
Please help me with this problem
Answers
Hello this will be easy for you.
Look at the picture, you have the angle UTR which is of 90° degrees. Thus the angle UTS is also 90° .
But the sum of the angles of a triangle is by property equal to 180° so the angle UVT must be equal to 180-90-64 = 26°.
Now we are getting near to solve that x+8 degrees angle.
Recall that UVT is 26° ok ? So 180-26 = x+8
Thus
x+8 = 154
x = 154 - 8
x = 146
Finally the angle UVS = 154 and the value of x = 146
You can see all the angles in the image attached below
Good luck you will be the best
A snack food company produced 58,115 ounces of bite-size cookies. The company will put the cookies into 9-ounce bags. About how many bags will the company be able to fill? Choose the better estimate.
A.10,000
B.6,000
Answers
Answer:
The answer is B. about 6,000
Step-by-step explanation:
58,115/9=6,457
If your heart rate is 155 beats per minute during strenuous exercise, what is the time per beat in units of seconds
Answers
Answer:
5 beats per second
Step-by-step explanation:
statistic operation depends
Ned fills 2/3 of a bucket in 15 of a minute. How much time will it take him to fill the bucket?
Answers
we know he filled 2/3 of the bucket in 15mins, how long for the "whole", namely 3/3 = whole, bearing in mind that 3/3 = 1, just the same as 7/7 = 1 or 1,000/1,000 = 1, so one whole is always 1 fraction wise.
[tex]\begin{array}{ccll} fraction&mins\\ \cline{1-2} \frac{2}{3}&15\\[1em] \underset{whole}{1}&x \end{array}\implies \cfrac{~~ \frac{2}{3}~~}{1}=\cfrac{15}{x}\implies \cfrac{2}{3}x=15\implies \cfrac{2x}{3}=15 \\\\\\ 2x=45\implies x=\cfrac{45}{2}\implies x=22\frac{1}{2}\qquad \textit{22 minutes and 30 seconds}[/tex]
5x + 4y + 7x + y
Answer ?
Answers
Answer:
12x+5y
Step-by-step explanation:
add 5 + 7 because they both have x and add 4 and 1 because y couts as one so in the end you'll get 12x+5y
Answer:
Step-by-step explanation:
5x + 4y + 7x + y
Need to arrange all who have the same variable
=5x + 7x +4y + y
=12x+5y
Describe the transformation of g(x)=4|x|
Answers
[tex]g(x) = 4 |x| = x = 0[/tex]
Help, please! You will be extremely smart if you answer this question, and if you do I will give brainliest. The test ends soon please help.
Answers
Answer:
B. y=6-1/3t
Step-by-step explanation:
If you graph this equation, it matches the given graph. Hope this helps :)
Mr. and Mrs. Bruce took a boat trip which left Cala for Friends’ Island at 11:45 in the morning. The trip lasted for 1 hour and 20 mins. When did they arrive at Friends’ Island?
Answers
A group of 200 adults were asked whether they prefer getting their news from newspapers or from TV. The gender of the adults and their responses are
reported in the following table.
Newspapers
Women 30
Men 50
TV
52
68
(a) What percentage of the adults are women?
(b) What percentage of the adults prefer TV?
Answers
Answer:
41% of adults are women.
60% of adults prefer TV.
Step-by-step explanation:
Women 30 Newspaper 52 TV 82 In Total so the percentage would be 82 out of 200 which would be 41 therefore 41% of adults are women.
TV scores 52 + 68 = 120 therefore 120 out 200 is the percentage of the adults that prefer TV 60 therefore 60% of the adults prefer TV.
The percentage of the adults prefer TV is 60%.
What is percentage?Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".
Given that, a group of 200 adults were asked whether they prefer getting their news from newspapers or from TV.
Here,
Newspapers TV
Women 30 52
Men 50 68
Number of women =30+52
= 82
a) Percentage of the adults are women
= 82/200 ×100
= 41%
b) Percentage of the adults prefer TV
Number of adults watch TV = 52+68
= 120
Here, 120/200 ×100
= 60%
Therefore, the percentage of the adults prefer TV is 60%.
To learn more about the percentage visit:
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A store pays $79 for a desk and marks the price up by 10%. What is the new price?
Answers
Answer: 86.90$
Step-by-step explanation:
10/79=7.90$. 7.90$ + 79.00$= 86.90$
solve pls brainliest
Answers
Answer:
1. -64
2.-27
Step-by-step explanation:
Hopes this helps
:)
Use the given transformation to evaluate the integral
∫R(15x+10y)dA, where R is the parallelogram with vertices (-3, 12), (3, -12), (6, -9), and (0, 15); x=1/5(u+v), y=1/5(v−4u).
Answers
Answer:
Step-by-step explanation:
I hate you