A software designer is mapping the streets for a new racing game. all of the streets are depicted as either perpendicular or parallel lines. the equation of the lane passing through a and b is -7x 3y = -21.5. what is the equation of the central street pq? a. -3x 4y = 3 b. -1.5x − 3.5y = -31.5 c. 2x y = 20 d. -2.25x y = -9.75
Answers
The equation of the central street PQ is -1.5x - 3.5y = -31.5 option (b) is correct.
What is a straight line?A straight line is a combination of endless points joined on both sides of the point.
We have a straight line:
[tex]-7x+3y=-21.5[/tex]
Convert it to the general form given below:
[tex]\rm y=mx+c[/tex]
[tex]\rm 3y=-21.5+7x\\\\ \rm y = \frac{-21.5}{3}+\frac{7}{3}x[/tex] or
[tex]\rm y = \frac{7}{3}x-\frac{21.5}{3}[/tex]
[tex]m = \frac{7}{3}[/tex] (Slope of AB line)
For the slope(m') of the PQ line:
[tex]\rm m'=-\frac{1}{m}[/tex] ( because AB and PQ are perpendicular to each other)
[tex]\rm m' = -\frac{3}{7}[/tex]
We know the:
[tex]\rm (y-y')=m'(x-x')[/tex]
Where (x', y') = (7, 6), we get:
[tex]\rm (y-6)=-\frac{3}{7} (x-7)[/tex]
[tex]\rm 7(y-6)=-3 (x-7)\\\\\rm 7y-42= -3x+21\\\\\rm 7y= -3x+21+42\\\\\rm 3x+7y=63[/tex]
[tex]\rm -1.5x-3.5y=-31.5[/tex] (multiply by -1/2 on both sides)
Thus, the equation of the central street PQ is -1.5x - 3.5y = -31.5
Learn more about the straight line.
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Related Questions
Find the range of:
8, 14, 6, 12, 11,9
Answers
6 8 9 11 12 14
Then you subtract the smallest number from the highest
14 - 6 = 8
Range is 8
Two groups of volunteers are cleaning up the football stadium after the Homecoming game. Volunteers from the Band Booster Club have already cleaned 2 rows of bleachers and will continue to clean at a rate of 7 rows per minute. The leadership class has completed 11 rows and will continue working at 4 rows per minute. Once the two groups get to the point where they have cleaned the same number of rows, they will take a break and decide how to split up the remaining work. How long will that take? How many minutes will each group have cleaned by then?
PLS HELP
Answers
Answer:
each group would have cleaned for 3mins
it's would take 3mins before they both take a break
Step-by-step explanation:
band booster club
2 already done
7rows/min
leadership class
11 rows already done
4rows/min
11-2
=9
at 0min leadership class is ahead by 9
min=x
2+7x=11+4x
7x-4x=11-2
3x=9
x=3
after 3mins the leadership class and the club will have both done 23 rows
brailiest please
Please help me with this
Answers
Answer:
should be 42
Step-by-step explanation:
HELP NO LINKS OR TROLLING
Answers
Answer:
20.28 cm²
Step-by-step explanation:
The rectangle on the bottom is 7 cm by 2 cm.
The semicircle has a diameter of 7 cm - 1 cm - 2 cm = 4 cm
diameter = 4 cm
radius = diameter/2 = 2 cm
total area = area of semicircle + area of rectangle
total area = (1/2)πr² + LW
total area = (1/2)(3.14)(2 cm)(2 cm) + 7 cm × 2 cm
total area = 20.28 cm²
Area of rectangle
2(7)14cm²Area of semicircle
π(7-3/2)²/2(4/2)²π/24π/212.56cm²/26.28cm²Total area
6.28+1420.28cm²Find the value of x
.
12.5,−10,−7.5,x
; The mean is 11.5
.
Answers
Step-by-step explanation:
please mark me as brainlest
Answer:
x = 51
Step-by-step explanation:
If the mean = 11.5, then that means all numbers added together divided by four = 11.5. Let's write this algebraically:
[tex]\frac{12.5+(-10)+(-7.5)+x}{4}=11.5[/tex]
Now, let's solve for x:
[tex]12.5-10-7.5+x=11.5(4)[/tex]
[tex]-5+x=46[/tex]
[tex]x=51[/tex]
I hope this helps!
Which figure is the image of Q?
Answers
That’s the only one that rotated 90 degrees counterclockwise
The diagonals of quadrilateral EFGH intersect at D(1,3). EFGH has vertices at E(2,6) and F(-4,5). What must be the coordinates of G and H to ensure that EFGH is
a parallelogram?
Answers
Answer:
G(0, 0), H(6, 1)Step-by-step explanation:
The diagonals of a parallelogram bisect each other.
Point D is the midpoint of both diagonals.
Endpoint of EG is point G with coordinates (x, y):
(2 + x)/2 = 1 ⇒ 2 + x = 2 ⇒ x = 0(6 + y)/2 = 3 ⇒ 6 + y = 6 ⇒ y = 0G = (0, 0)Endpont of FH is point H with coordinates (x, y):
(-4 + x)/2 = 1 ⇒ - 4 + x = 2 ⇒ x = 4 + 2 ⇒ x = 6(5 + y)/2 = 3 ⇒ 5 + y = 6 ⇒ y = 6 - 5 ⇒ y = 1H = (6, 1)Help me actually,
What is the measure of angle R?
Enter your answer as a decimal in the box. Round only your final answer to the nearest hundredth.
m∠R=
°
Answers
Answer:
Step-by-step explanation:
Cos(R) = adjacent / hypotenuse
Adjacent is the side connected to the angle
Adjacent = 12
Hypotenuse = 13
Cos(R) = 12 / 13 = .9231
Now you find R by taking the inverse cos of (R). On most calculators it is 2nd function cos
R = cos-1(0.9231)
Answer: R = 22.62 degrees
[tex]\\ \rm\Rrightarrow sinR=\dfrac{Perpendicular}{Hypotenuse}[/tex]
[tex]\\ \rm\Rrightarrow sinR=\dfrac{5}{13}[/tex]
[tex]\\ \rm\Rrightarrow sinR=0.38[/tex]
[tex]\\ \rm\Rrightarrow R=sin^{-1}(0.38)[/tex]
[tex]\\ \rm\Rrightarrow R=22.33°[/tex]
if p(x)=x2+2x-5 and g(x)=x-3, what is p(x) – gx)?
Answers
Answer:
x2+x-2
Step-by-step explanation:
i had this question before
Which of the following is equivalent to : 3x + 6 + 2x + 2 + x
A. 5x + 8
B. 6x + 8
C. 14x
Answers
NO LINKS. Which term describes a line segment that connects a vertex of a triangle to a point on the line containing the opposite side, so that the line segment is perpendicular to that line?
Answers
Answer: Altitude
Step-by-step explanation:
I’m not entirely sure with this question, anyone can please help?
Answers
Step-by-step explanation:
3x + 4 = 72 - x
3x - x = 72 - 4
2x = 68
x = 39
evaluate the expression when c=9 and d=4. 5c+d
Answers
Answer:
5(9)+4= 45+4.....= 49
Step-by-step explanation:
The least common denominator of 7/12, 1/3, and 3/4 is
Answers
Answer:
12.
Step-by-step explanation:
3, 4, and 12 all divide into 12 .
What is the area of the following figure?
Answers
Answer:
A=31.5cm squared
Step-by-step explanation:
A=lw
A=(9)(3.5)
A=31.5
therefore A=31.5cm squared
Answer:
31.5 cm
Step-by-step explanation:
Just multiply the length and width
Giovanni drops a rock from the Leaning Tower of Pisa in Italy. The height in feet (h) of the falling rock above the ground is
given by the following equation, where t represents the time, in seconds.
h = -16t2 + 186
Approximately how long will it take the rock to reach the ground?
Answers
It would take about 3.4 seconds for the rocks to reach the ground.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Let h represent the height of the rock above the ground after t seconds. Given the equation:
h = -16t² + 186
The rock would reach the ground at h = 0, hence:
0 = -16t² + 186
16t² = 186
t = 3.4 seconds
It would take about 3.4 seconds for the rocks to reach the ground.
Find out more on equation at: https://brainly.com/question/2972832
PLEASE HELP ASAP
a. write the first four terms of the series
b. does the series diverge or converge?
c. if the series has a sum, find the sum
Answers
Answer:
i think it B
Step-by-step explanation:
help me!!!!Determine the value of each car after 5 years.
Answers
If PQRS is a square and TR = 17, find each missing value. Round to the nearest tenth.
Answers
Step-by-step explanation:
correct me if I'm wrong.[tex]\huge\mathfrak\red{Hope it's help}[/tex]
Please help! will give brainlest!
Answers
What is the value of x?
Answers
Answer:
30 degrees
Step-by-step explanation:
because if its 60 at the bottom and 30 on the left it only makes sense that it would be 30 on the right.
Also can you mark brainlyest you dont have to thoe
PLEASE HELP ASAP
(answer as many as you can please)
a. write the first four terms of the series
b. does the series diverge or converge?
c. if the series has a sum, find the sum
Answers
Answer:
A) -4,-4/3,-4/9,-4/27
B) converge
C) no idea
solve pls brainliest
Answers
Answer:
5/6
Step-by-step explanation:
11/12 - 1/12 = 10/12
10 divided by 2 = 5
12 divided by 2 = 6
5/6
Answer:
⅚
Step-by-step explanation:
¹¹/12 - ¹/12 = ¹⁰/12
÷2 →
5/6
Use the diagram to complete the statement
Answers
Answer:
cos(52)
Step-by-step explanation:
Both sin(38) and cos(52) are equal to KJ/KL.
Evaluate the expression when x = 3.
x² + 6x - 3
Answers
Answer:
X=3
[tex] {3}^{2} + 6(3) - 3 \\ 9 + 18 - 3 \\ 27 - 3 \\ = 24[/tex]
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
In the equation n+5 - n- 10 = 1the value of n is
Answers
Answer:
No Solution
Step-by-step explanation:
If you grouped like terms, you would get [tex]n+(-n)+5-10=1[/tex]
Both n's would cancel each other out.
I hope this helps! (If it's wrong, then tell me, I'll try to find the correct answer...)
Nil and Ethan are brothers. They left their home at the same time and drove to the same beach. Nil drove at a speed of 30 miles per hour. Ethan drove at a speed of 20 miles per hour. Nil arrived at the beach 0.5 hour earlier than Ethan. What is the distance between their home and the beach?
Answers
Answer:
10 miles
Step-by-step explanation:
Ethan drove at a speed of 20 miles per hour. Nil arrived at the beach 0.5 hour earlier than Ethan. What is the distance between their home and the beach? Every hour, Nil gets ahead of Ethan 30 - 20 = 10 miles.
Mark and Henry win some money and share it in the ratio 1:3. Mark gets £9. How much did Henry get?
Answers
Answer:
£27
Step-by-step explanation:
1:3 = M:H
Mark gets £9
1 = £9
3: £9 x 3 = £27
Answer: the answer is £27
Step-by-step explanation: it is related to ratio if mark gets 9 so 9 times 3 . Equals to 27 . You can make criss cross way . 1 won't make the answer different. Hope it helps
Please answer this question throughly and with the work you used to answer it and I’ll give brainliest!
Answers
With the given budget, the inequality that must be used is:
$5.5*s ≤ $350
Which inequality is the correct one?
We know that the budget is $500.
Then, we know that there is a fixed cost of $150, then the budget left is:
$500 - $150 = $350
With these $350 they pay the food for the students, which costs $5.50 per student.
So the number of students that can go must be such that:
s*$5.50 ≤ $350
There says that the cost in food for the s students must be smaller than or equal to the remaining $350.
So the correct option is the second one.
If you want to learn more about inequalities, you can read:
https://brainly.com/question/18881247
-3.28+4.4-9.7
fdsafdsa
Answers
Explanation
we add -3.28+-9.7
-(12.98 - 4.4) = -8.58