Answers
9514 1404 393
Answer:
a) x = -3
b) y = (28/27)x -27
Step-by-step explanation:
a) College street has a slope of 0, so is a horizontal line. 2nd Ave is perpendicular, so is a vertical line, described by an equation of the form ...
x = constant
For 2nd Ave to intersect the point (-3, 1), the constant must match that x-coordinate. The equation is ...
x = -3
__
b) Since Ace Rd is perpendicular to Davidson St, its slope will be the opposite reciprocal of the slope of Davidson St. The slope of Ace Rd is ...
m = -1/(-27/28) = 28/27
Using the point-slope equation for a line, we can model Ace Rd as ...
y -y1 = m(x -x1)
y -1 = (28/27)(x -27)
y = (28/27)x -27
Related Questions
the volume of a rectangular prism is 72 cubic centimeters. the prism is 2 centimeters wide and 4 centimeters high.
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Answer:
9 cm
Step-by-step explanation:
Answer:
it is 9 cm because 9 x 8 is 72
Step-by-step explanation:
Convert 7% as a decimal
Answers
Answer:
0.07
Step-by-step explanation:
7/100
Answer:
it would be .07 i believe
To the nearest hundredth, what is the length of the diagonal of the prism
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Answer:
theres nothing there
Step-by-step explanation:
10g of Copper reacts with 5g of Sulfur
Write the ratio of Copper to Sulphur
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Can someone help me Write an equation for this graph?
Answers
Answer:
y = (2/3)x - 1
Step-by-step explanation:
y = mx + b
m = (y₂ - y₁) ÷ (x₂ - x₁)
m = (1 - (-1)) ÷ (3 - 0)
m = 2 ÷ 3
m = 2/3
Insert slope and one of the points. I'm using (0, -1).
Solve for b.
-1 = (2/3)0 + b
-1 = 0 + b
-1 = b
∴ y = (2/3)x - 1
Identify as an increase or decrease. Then find the percent of increase or decrease. If necessary, round to the nearest percent.
Original: 150
New: 130
Answers
Answer:
130 is a 13.333% or 13% decrease of 150.
I need help with this question geometry
Answers
Answer:
sorry
Step-by-step explanation:
Answer:
y=15
∠P=113
∠Q=67
∠R=113
∠S=67
Step-by-step explanation:
10y-37+4y+7=180
14y=210
y=15
∠P=10(15)-37=113
∠Q=180-113=67
Brandon has a jar of quarters and dimes with a total value of $7.85. The number of quarters is 7 less than twice the number of dimes. How many quarters and how many dimes does Brandon have?
Answers
Answer:
dimes=8
quarters=12
Step-by-step explanation:
the total value 380 cents
Factor the trinomial below COMPLETELY
5x^2 - 20x + 60
Answers
Answer:
± [tex]\sqrt{-800}[/tex] / 2 or ±800i
Step-by-step explanation:
there are no rational roots because the square root of a negative
i got the answer by using the quadratic formula: (-b ±√b2 - 4ac) /2a
Tell whether x and y show direct variation. Explain your reasoning. 2x = 3y
Answers
Answer:
YES: direct variation
Step-by-step explanation:
2x = 3y is equivalent to y = (2/3)x, which has the form of a proportional relationship (direct variation) y = kx. YES
Your test in math class has problems worth 2 points and problems worth 4 points. Altogether the test has 100 points. Write an equation that represents the total points on the test formed by the number of 2-point problems and the number of 4-point problems.
Answers
Answer:
100 = 2x + 4y
Step-by-step explanation:
What is the value of sin(48) ? Use a calculator and round to the nearest tenth
Answers
Answer:
0.743
:))))))))))))))
Noah's cousin is exactly 7 years younger than Noah. Let C represent Noah's cousin age and N represent Noah's age. Age is measured in years.
1. Write a function that defines the cousins age as a function of Noah's age.
2. What variable represents the input of this function?
3. What variable represents the output of this function?
4. Write the inverse of the function you wrote.
5. What variable represents the input of the inverse function?
6. What represents the output of the inverse function?
Answers
Answer:
1. f(N) = C ,where C = N - 7
2. The input of the function is x = N
3. The output of the function = y = C = N -7
4. F(C) = N where N = C - 7
5. Input of the inverse function = C
6. Output of the inverse function = N = C - 7
Step-by-step explanation:
Let Noah's cousin age = C
and Noah's age = N
As given ,Noah's cousin is exactly 7 years younger than Noah.
⇒ C = N - 7
a.)
As we know that , A function is a maping of x to y such that f(x) = y
Let x = N , y = C
So, f( x) = y
⇒f(N) = C ,where C = N - 7
b.)
The input of the function is x = N
c.)
The output of the function = y = C = N -7
d.)
A inverse function is a mapping of y to x
i.e change the variable ,
As we have C = N - 7
It becomes
N = C - 7
So the inverse function becomes
F(C) = N where N = C - 7
e.)
Input of the inverse function = C
f.)
Output of the inverse function = N = C - 7
Help plsssssssssssssssss
Answers
First, you solve the equation (-2a-5>3=-2a>8=a>-4). Since a>-4 would be our final solution, we have to graph a as anything above -4.
PLEASE HELP ASAP THIS IS DUE SOON
Answers
Answer:
y= 2/1x
Step-by-step explanation:
1. Mark two points on the coordinate place (1,2) (2,4)
2. Subtract y1 from y2 and x1 from x2
(1, 2) 1
(2, 4) 2
4-2 y, 2-1 x
3. Put y on top of x as a fraction after you've subtracted it (2/1)
4. y= 2/1x
i think this is right...maybe?
John estimates that there is 150 people at the party. After counting, there are actually 148 people at the party
Find the percent error.
round your answer to the nearest hundredth
Answers
Answer this pleaseee !!
Answers
Answer:
D.
Step-by-step explanation:
m<F = m<B - Corresponding Angles Theorem
m<B + m<A = 180 - Adjacent Angles Theorem
180 - 105 = m<A
75 = m<A; therefore, m<A = 75.
Answer:
D.
Step-by-step explanation:
Because F and C are consecutive angles, they add up to 180°. So 180-105=75. Angle C is 75, which makes B wrong. After finding that C is 75°, then you use the verticle angles theorem to show that angle A is 75°. Hope this helps you.
Which ratio is equivalent to 1 : 8
Answers
Answer: 2:16
Step-by-step explanation:
Answer:
2 : 16
Step-by-step explanation:
1 : 8 2 : 16 3 : 24 4 : 32 5 : 40
6 : 48 7 : 56 8 : 64 9 : 72 10 : 80
11 : 88 12 : 96 13 : 104 14 : 112 15 : 120
16 : 128 17 : 136 18 : 144 19 : 152 20 : 160
21 : 168 22 : 176 23 : 184 24 : 192 25 : 200
26 : 208 27 : 216 28 : 224 29 : 232 30 : 240
31 : 248 32 : 256 33 : 264 34 : 272 35 : 280
36 : 288 37 : 296 38 : 304 39 : 312 40 : 320
41 : 328 42 : 336 43 : 344 44 : 352 45 : 360
46 : 368 47 : 376 48 : 384 49 : 392 50 : 400
51 : 408 52 : 416 53 : 424 54 : 432 55 : 440
56 : 448 57 : 456 58 : 464 59 : 472 60 : 480
61 : 488 62 : 496 63 : 504 64 : 512 65 : 520
66 : 528 67 : 536 68 : 544 69 : 552 70 : 560
71 : 568 72 : 576 73 : 584 74 : 592 75 : 600
76 : 608 77 : 616 78 : 624 79 : 632 80 : 640
81 : 648 82 : 656 83 : 664 84 : 672 85 : 680
86 : 688 87 : 696 88 : 704 89 : 712 90 : 720
91 : 728 92 : 736 93 : 744 94 : 752 95 : 760
96 : 768 97 : 776 98 : 784 99 : 792 100 : 800
which equation is parrel to the equation y=3x-4
y=3x-8
y=4x+2
y=x-9
y=-1/3x+4
Answers
Answer:
Parallel means they have the same slope so, y=3x-8
Please answer quickly Thank You
Answers
Answer:
A. $ 46
B. 12 people.
Step-by-step explanation:
From the question given above, we obtained the following:
C(x) = 6.5x + 20
Where:
C => total cost of bowling
x => number of people
A. Determination of the of bowling for 4 people.
Number of people (x) = 4
Total cost (C) of bowling =?
C(x) = 6.5x + 20
C(4) = 6.5(4) + 20
C(4) = 26 + 20
C(4) = $ 46
Thus, it will cost $ 46 for 4 people to bowl
B. Determination of the number of people that can bowl for $ 98.
Total cost (C) of bowling = $ 98
Number of people (x) =?
C(x) = 6.5x + 20
98 = 6.5x + 20
Collect like terms
98 – 20 = 6.5x
78 = 6.5x
Divide both side by 6.5
x = 78 / 6.5
x = 12
Thus, 12 people can bowl for $ 98.
Which equation represents the function shown on the graph? y = x y = x y = 2x y = 4x
Answers
Answer:
The correct answer is y=4x
Step-by-step explanation:
Mitzy earned $3,156 last year at her weekend job, but realized after the year was over that her employer did not deduct any FICA from her paychecks. How much should she have paid in FICA taxes for her earnings last year? How much should she have paid in Social Security tax? How much should she have paid in Medicare tax? Together, they make up FICA. How much should she have paid in FICA?
Answers
Explanation:
28800000, 1440000, 72000, 3600, 180, ...
Answers
Answer: I'm confused. What are you asking here?
Step-by-step explanation:
Two pencils and one pen cost $0.80, and one pencil and two pens cost $1.15. How many cents would three pencils cost
Answers
Answer:
.33 cents
Step-by-step explanation:
Use the quadratic formula to find the solutions for
y = 3x^3 + 8x - 1
Answers
Answer:
Solving the equation using quadratic formula we get [tex]\mathbf{x=0.119\:or\:x=-2.785}[/tex]
Step-by-step explanation:
We need to use the quadratic formula to find the solutions for
[tex]y = 3x^2 + 8x - 1[/tex]
(Note: quadratic formula is used when x^2 is in the equation. So considering 3x^2 instead of 3x^3)
The quadratic formula is: [tex]x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]
From the given equation [tex]y = 3x^3 + 8x - 1[/tex] we have a =3, b=8 and c =-1
Putting values in the formula and finding solutions:
[tex]x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\x=\frac{-8\pm\sqrt{(8)^2-4(3)(-1)}}{2(3)}\\x=\frac{-8\pm\sqrt{64+12}}{6}\\x=\frac{-8\pm\sqrt{76}}{6}\\x=\frac{-8\pm8.71}{6}\\x=\frac{-8+8.71}{6}\:or\:x=\frac{-8-8.71}{6}\\x=0.119\:or\:x=-2.785[/tex]
So, Solving the equation using quadratic formula we get [tex]\mathbf{x=0.119\:or\:x=-2.785}[/tex]
What is an equation of the line that passes through the points (5,2) and (-5,6)?
Put your answer in fully reduced form.
Answers
Answer: y = -2/5x + 4
Steps:
First find the slope of the equation y=mx+b.
slope equation (m=y2-y1/x2-x1)
Then plug in your coordinates, which the first set is (5,2) and the second set if (-5,6). m = 6 - 2/ -5 - 5
Which your answer will be 4/-10, simplify it by dividing both by 2 to get -2/5 for your slope.
Next, find your y-intercept (b).
substitute the first set of coordinates into the equation y=mx+b
Substitute: 2 = -2/5 (5) +b
Then multiply -2/5 with 5 to get (-2). Your equation should now reduce to be
2 = -2 +b
Do inverse operations on both sides by adding 2 to each side (the 2 side and the -2+b side).
This gets rid of the -2 and since we added 2 to both sides, your final equation should look like 4 = b for your y-intercept.
Plug in everything to get y = -2/5x + 4
find the value of x
Answers
HELPPPPP!:(
In order to ride a roller coaster, a rider must be greater than 48 inches tall. Right now, Jeff is 45 inches tall. Write an inequality that describes how many more inches Jeff must grow in order to ride the roller coaster.
Answers
Answer:
x is greater than or equal to 3 inches.
Step-by-step explanation:
The required inequality that models the situation of age to grow is given as x ≥ 3.
What is inequality?Inequality can be defined as the relation of the equation containing the symbol of ( ≤, ≥, <, >) instead of the equal sign in an equation.
Here,
Let the age to be grow be x,
According to the question,
45 + x ≥ 48
Simplifying the above expression,
x ≥ 3
Thus, the required inequality that models the situation of age to grow is given as x ≥ 3.
Learn more about inequality here:
brainly.com/question/14098842
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pls help 20 points I just need an explanation
Answers
Answer:
i=prt
i = 1,000 x 0.045 x 1.5
Step-by-step explanation:
Albert moved 1/4 of lawn and son mowed 3/7 of how much is left to mow
Answers
Answer: 5/28 left to mow
Step-by-step explanation:
How much is left means we have to subtract the fractions. The easiest to do is subtract using the larger fraction first which is 3/7.
3/7 - 1/4
Since you have unlike terms in your denominator, look for that one common factor that can divide into 7 and 4, the numbers in your denominator. In this case there is no common factor, so you have to multiply the 2 numbers in your denominator to get the common factor that would be 7 x 4=28. 28 is new the common factor you will use for each denominator. Now we have to make adjustments to the numerator:
3/7 becomes 12/28 because you have to say to yourself how many times 7 in your oringinal denominator go into 28, your new denominator, which=4. Now you multiply that 4 by the numerator 3 and that would =12 now you have 12/28. For the 1/4, it becomes 7/28 because you have to say to yourself how many times 4 go into 28 which =7. Now multiply 7 by the numerator 1 which =7. Now you have 7/28. Now you can subtract and solve for your answer:
3/7 -1/4 converted to:
12/28 - 7/28 subtract numerators 12-7 and keep the same denominator
Ans: 5/28 left to mow
