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
Suppose Martina places $9000 in an account that pays 18% interest compounded each year.
Assume that no withdrawals are made from the account.
Find the amount in the account at the end of 1 year and 2 years.
Answers
Answer: 1232
Step by Step: I just answered this
2. What is the sum of 5t + 9 - 3t + 4)?
Answers
Step-by-step explanation:
5t + 9 - 3t + 4
2t + 13
hope it's helpful
Answer: 2t + 13
The scatter plot shows the relationship between the average number of nightly customers and the number of mouths since a restaurant opened. The equation represents the linear model for this date
y = 5x + 120
what does the number 5 in the equation mean in this context?
A: There were 5 customers per night when the restaurant opened
B: The average number of costumers per night increased by 5 each month
C: The average number of customers per night decreased by 5 each month
D: The restaurant has been open for 5 months
Answers
5 is also the slope
How many pounds are in 1 1/2 pounds and 8 ounces? There are _____ pounds in 1 1/2 pounds and 8 ounces.
Answers
Answer:
Hope this helps
Step-by-step explanation:
Since 16 ounces equal 1 pound, we’ll add 16 + 16, which is 32 ounces. For one half of a pound, simply divide the amount of ounces in a pound (16) by half. 16 divided by 2 is 8, so in total your answer would be 40 ounces in 2 1/2 pounds.
amara needs to create a special tasting menu at her restaurant. She needs to select 4 dishes from 7 available dishes and put them in a tasty sequence. How many unique ways are there to arrange 4 of the 7 dishes?
Answers
By taking in mind the number of combinations of 4 out of the 7 dishes, and the possible orders of these 4 dishes, we will find that there are 840 unique ways to arrange 4 of the 7 dishes.
We know that if we have a set of N elements, the total number of different combinations of K elements (K ≤ N) out of the N elements is given by:
[tex]C(N, K) = \frac{N!}{(N - K)!*K!}[/tex]
In this particular case, we have:
N = number of available dishes = 7K = number that we need to select = 4Then the number of different combinations is given by:
[tex]C(7, 4) = \frac{7!}{(7 - 4)!*4!} = \frac{7*6*5}{3*2} = 35[/tex]
Now we have 4 dishes selected, but we also need to order them.
For the first dish, there are 4 options.For the second, there are 3 options (as one was already selected).For the third, there are 2 options.For the last one there is only one option.The number of different arrangements of the dishes is given by the product between the numbers of options above, this gives:
4*3*2*1 = 24
Then the total number of unique ways of arranging 4 of the 7 dishes is:
C = 24*35 = 840
Where we take in mind the possible number of combinations of 4 out of the 7 dishes, and the possible orders of these 4 dishes.
If you want to learn more, you can read:
https://brainly.com/question/9976085
Is 27, 333 divisible by 3? Write the number 27,333 as the product of 3 and another factor.
Answers
Yes, 3 divides 27,333. We have
27,333 = 27,000 + 333
… = 27•1,000 + 333
… = 3•9•1,000 + 3•111
… = 3•(9•1,000 + 111)
… = 3•(9,000 + 111)
… = 3•9,111
Rico had $80. He spent 40% on snacks and 1/4 on travel and kept 1/2 of the remainder for the next day.
Answers
Answer:
$4????
Step-by-step explanation:
I searched 40% of 80 and got 32, then 1/4 of 32, which was 8, then that in half was 4. I am not sure if it is right or if 8 was the final answer.
Find the value for x.
Answers
Answer:
x = 21Step-by-step explanation:
5x - 12 = 3x + 30
5x - 3x = 30 + 12
2x = 42
x = 21
---------------------
check
5 * 21 - 12 = 3 * 21 + 30
93 = 93
the answer is good
WILL AWARD BRAINLIEST AND 5 STAR
2. Marcus is writing the program for a video game. For one part of the game, he uses the rule
(x, y) ➡️ (x + 8, y – 3) to move points on the screen.
(a) What output does the rule give when the input is (-2, 1)? Show your work.
(b) What output does the rule give when the input is (0, -5)? Show your work.
(c) Is the rule a function? Explain why it is or why it is not.
Answers
(6, -2)
(b) 0 + 8, -5 - 3
(8, -8)
(c) Yes, the rule is a function because x will never overlap with x and y will never overlap with y, when graphed it passes the vertical line test.
Answer:
I might be getting somthign comfised but here is what I derived from it.
Step-by-step explanation:
Marcus uses a rule of (x+8, y-3). What will be the output if the input is (-2,1) and (0,-5).
If it is going off of the math functions then the outputs would be simple math -
(6, -2) -2+8 and -3+1; (8, -8) 0+8 and -5-3 [if im doing the correct functions].
The X and Y is what gets me when trying to answer if it is a function or not, I would say it is because the x and y values are given and they are their values are substituted, the actual function is adding the 8 to the X and subtracting the 3 from the Y.
Hope this helps some
For what value of n does (StartFraction 1 Over 36 EndFraction) Superscript n Baseline = 316?
Answers
Answer:
I think that the answer is 50
Answer:
-3/2
Step-by-step explanation:
edge
Anyone to help me answer this question am giving the brainliest
Answers
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
As we know,
[tex] \boxed{\sin(a + b) = \sin(a) \cos(b) + \cos(a) \sin(b) }[/tex]and
[tex] \boxed{\sin(a - b) = \sin(a) \cos(b) - \cos(a \sin(b) ) }[/tex]now, let's add them as shown ~
[tex] \boxed{\sin(a + b) + \sin(a - b)} [/tex][tex] \boxed{ \sin(a) \cos(b) + \cos(a) \sin(b) + \sin(a) \cos(b) - \cos(a) \sin(b) }[/tex][tex] \boxed{2 \sin(a) \cos(b) }[/tex]work out angel x
Please could u help me with this
ASAP thanks you
Answers
Pls Help I Need This Answer ASAP
Answers
Answer:
h = -2
Step-by-step explanation:
1. Simplify the left hand side: 8h = -16
2. DIvide both sides by 8: h = -16 ÷ 8 = -2
Hope this helps!
Answer:
ℎ = − 1 6 /7
Step-by-step explanation:
Step 1: Combine like terms.
ℎ − 8 ℎ + 1 9 ℎ − 5 ℎ = − 1 6
7 ℎ = − 1 6
Step 2: Divide both sides of the equation by the same term.
7 ℎ = − 1 6
7ℎ/7=−16/7
Step 3: Simplify
ℎ=−16/ 7 = Answer
one of the acute angles of a right angle triangle is 35 degree find the measure of the acute angle.
Answers
Answer:
55°
Step-by-step explanation:
One triangle = 180° Therefore 90°+35°+ Unknown acute angle = 180°
125°+ Unknown acute angle = 180°
Unknown acute angle = 180°-125°
Unknown acute angle =55°
Answer:
55°
Step-by-step explanation:
One triangle 180° 90+35 =125-180=55°
1.What is m + 5n where m = 1 and n = 5?
A. 26
B. 52
C. 25
D. 62
ANSWER:____
2.What is 5m + 5n where m = 10 and n = -5?
A. 25
B. 26
C 62
D. 52
ANSWER:____
ADD EXPLANATION IF NECESSARY :)
Answers
Answer:
Answer# 1: A. 26
Answer# 2: A. 25
Step-by-step explanation:1. What is m + 5n where m = 1 and n = 5?
Substitute 1 for "m" and 5 for "n":
[tex]\sf (1)+5(5)[/tex]
Multiply 5*5 =25
[tex](1)+25[/tex]
Add :
[tex]\sf 26[/tex]
____________________
2. What is 5m + 5n where m = 10 and n = -5?
Substitute 10 for "m" and -5 for "n".
[tex]\sf 5\left(10\right)\:+\:5\left(-5\right)[/tex]
Multiply 5 * 10= 50
[tex]\sf 50+5\left(-5\right)[/tex]
Multiply 5 * -5 = -25
[tex]\sf 50-25[/tex]
Subtract:
[tex]\sf 25[/tex]
___________________________________
Is this statement true or false? The expression 4x (x2 + 4x + 3) is a polynomial. O True O False
Answers
Answer:
Step-by-step explanation:
If you remove the brackets you get
4x^2*x^2 + 4x*4x + 3*4x
4x^4 + 16x^2 + 12x
That definitely is a polynomial
In its factored form, one of the factors is a polynomial so the answer is true.
Use the graph below to find the slope of the line that goes through the points
|(1, 2) and (6,6).
Answers
Answer:
4/5
Step-by-step explanation:
m=y2-y1/x2-x1
=6-2/6-1
4/5
please answer fully /////////////
Answers
Answer: 6
Step-by-step explanation:
PEMDAS. 3 * {(10+35) / 9 - 3} 10+35=45 45/9= 5 5-3=2 2*3= 6
can someone plz help with this
Answers
Answer:
What is it we should help you with
-hope this helps
Write a statement that indacates that the triangles in each pair are congruent
Answers
Answer:
The answer would be C
Step-by-step explanation:
Because if you look at the triangles you can where they match up and if you look at the lines you can tell if they match up and C matches that`s how I did it well that`s how I do it when I do math
a. Does it take more cups or gallons to measure the amount of water in a large
a
pot? Explain.
Answers
Answer:
More cups
Step-by-step explanation:
Cups are a smaller measuring unit than gallons are. Therefore it would take more cups than gallons to fill a pot.
Eddie's overtime is figured on a 40-
hour work week. Last week he
worked the following hours:
Monday = 9.7
Tuesday = 8.3
Wednesday = 8
Thursday = 9.1
Friday = 8.6
=
He is paid time and a half for
overtime and makes $14.40 for
regular hours. What is Eddie's gross
pay?
Answers
Answer:
597.6 Dollars
Step-by-step explanation:
Answer:
$655.92Step-by-step explanation:
Total number of hours worked:
9.7 + 8.3 + 8 + 9.1 + 8.6 = 43.7Overtime hours:
43.7 - 40 = 3.7Gross payment:
40*14.4 + 3.7*14.4*1.5 = 655.92What is 64 minutes (1 hour and 4 minutes) as mixed number? I'm pretty sure its something like this:
[tex]1 \frac{?}{?} [/tex]
but I don't know for sure
Answers
Answer: 1 4/60
Step-by-step explanation
64 is greater then 60 . 60 = 1 hour so 64 minutes = 1 whole 4 over 60
Answer:
1 1/15.
Step-by-step explanation:
1 4/60
= 1 1/15.
Can someone answer this correctly for my sister please
Answers
Answer:
12) A ( 9, 11, 13, 15)
13) A ( o , a)
14) A (b ∈ ( a, b, c, d, e, f))
15) C ( -364)
16) D (-1°C)
17) B (Negative)
18) C (26 feet)
19) B (7)
Step-by-step explanation:
12) All of these are odd numbers greater than 7
13) These are the only vowels in "MONDAY"
14) Point B cannot belong in a set that already has B
15) -9876 + 9512 = -364
16) 4 - 5 = -1
17) ex: -2 + (-2) = -4
18) -20 + 12 - 18 = -26
19) 3(5) + 4(-2) = 15 - 8 = 7
-Chetan K
eight times a number
Answers
Answer:
Equals the same number 8 times itself, this is the equation: 8X.
Step-by-step explanation:
Answer:
Look down.
Step-by-step explanation:
8x1=8
8x2=16
8x3=24
8x4=32
8x5=40
8x6=48
8x7=56
8x8=64
8x9=72
8x10=80
I dont know if this is what you were asking for but its all yours now!
PLEASE HELP 100 POINTS
Answers
Answer:
I think its x = 8
Step-by-step explanation:
There are 8 white long rectangles so I would think x = 8
but there are 9 little white squares so it could be 8 + 9 but
Answer:
x= 6/7
Step-by-step explanation:
becuase 7x -3x -2 + 1 = 8-3-3x + x
is simplified to 5x -1 = 5-2x
+2 on both sides
7x-1 =5
+ 1 on both sides
7x=6
divde both by 7
x= 6/7
A gopher is in a hole that is 6 1/4 in. below the surface of the ground. It then digs 7 1/2 in. deeper. What is the gopher’s new elevation relative to the surface of the ground? Show your work.
Answers
Answer: 13 3/4
Step-by-step explanation:
The gopher’s new elevation relative to the surface of the ground will be
[tex]13 \frac{1}{4}[/tex] inches.
What is Addition?
A process of combining two or more numbers is called addition.
Given that;
A gopher is in a hole that is [tex]6 \frac{1}{4}[/tex] in. below the surface of the ground.
And, Then digs [tex]7 \frac{1}{2}[/tex] in. deeper.
Now,
The gopher’s new elevation relative to the surface of the ground will be calculated as;
⇒ [tex]6 \frac{1}{4} + 7 \frac{1}{2}[/tex]
⇒ 25/4 + 15/2
Make denominators same as;
⇒ 25/4 + 30/4
⇒ (25 + 30) / 4
⇒ 55 / 4
⇒ [tex]13 \frac{1}{4}[/tex] inches.
Thus, The gopher’s new elevation relative to the surface of the ground will be [tex]13 \frac{1}{4}[/tex] inches.
Learn more about the addition visit:
https://brainly.com/question/24536701
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What is the slope of the line that passes through the points (−4,−1) and (18,−2) ?
A. − 3/14
B. 1 /14
C. 22
D. − 1/22
Answers
Answer:
D
Step-by-step explaination:
geomtry plz help 15 points
Answers
Answer:
m∠O = 41°
Step-by-step explanation:
∠NOM=∠NMO=(4y-15)° (base angles of isos triangle)
7y+2(4y-15)=180 (angle sum of triangle)
7y+8y-30=180
15y-30=180
15y=180+30
=210
y=210÷15
=14
Hence, m∠O = (4y-15)°
= [4(14)-15]°
= (56-15)°
= 41°
. An insurance company predicts that about an 80% chance that a person aged 20 will be alive at age 65 in a certain population. Suppose that 64 people aged 20 are selected at random. What is the probability that at least 48 of them will still be alive at age 65
Answers
Step-by-step explanation:
the probabilty for exactly 48 people surviving is
(64 over 48) × 0.8⁴⁸ × 0.2¹⁶
the possible combinations of 48 people out of 64 associated with the probability of 48 survivors and 16 deaths.
"at least" is then sum of the probabilities of exactly 48, 49, 50, 51, ... 64 people surviving.
that is a longer calculation of these 17 possibilities.
they go
(64 over 48) × 0.8⁴⁸ × 0.2¹⁶ = 0.0714...
(64 over 49) × 0.8⁴⁹ × 0.2¹⁵ = 0.0933...
(64 over 50) × 0.8⁵⁰ × 0.2¹⁴ = 0.1119...
...
(64 over 63) × 0.8⁶³ × 0.2¹ = 0.00001004...
(64 over 64) × 0.8⁶⁴ × 0.2⁰ = 0.0000006277...
the sum is the probabilty (that at least 48 out of the 64 are alive at 64) of 0.8746...
the maximum single probability (for an exact number of survivors) is as expected at exactly 51 and exactly 52 survivors with a probability of 0.1229... for each case.
of course, this is around the expectation value of
64×0.8 = 51.2 (out of the 64 it is expected that per average 51.2 people survive and reach age 64).