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viva [34]
3 years ago
8

Find an equation of the straight line that is perpendicular to the straight line x+2y=5 and that passes through the point (3,7)

Mathematics
1 answer:
Digiron [165]3 years ago
7 0

Answer: y = 2x + 1

Step-by-step explanation:  

Rewrite the equation in standard form:

x+2y=5

2y = -x + 5

y = -(1/2)x + (5/2)

A line perpendicular to this would have a slope that is the negative inverse of the reference line slope, -(1/2), here.  The new slope would be 2.  The y-intercept, (5/2), will change, so we'll just use b for the new y-intercept, and calculate it later:

y = 2x +b

We know that point (3,7) lies on the new line (it is a solution to the equation), so we can use this point to find the new y-intercept, b.

7 = 2*3 + b

b = 1

The perpendicular line is y = 2x + 1, and goes through point (3,7)

You might be interested in
Y=-5x+145 5x+1y=145<br><br>a- (10,95)<br>b- no solution<br>c-(20,45)<br>d- infinitely many
jenyasd209 [6]

Answer: The answer is infinity solutions.

Step-by-step explanation: y=-5x+145, y=5x+y

y=-5x+145

y=5x+y

x=-y-145/5 x=0

x=-y-145/5,0

8 0
3 years ago
How do we write ordered pairs?
kvv77 [185]

Answer:

find the x and y values

Step-by-step explanation:

Ordered pairs are often used to represent two variables. we write (x, y) The number which corresponds to the value of x is called the x-coordinate and the number which corresponds to the value of y is called the y-coordinate.

Hope this helps

7 0
3 years ago
A store sells 8-foot boards for $2.40 each. What is the cost per foot?
ANTONII [103]

Answer:

8x≤2.40, x ≤ $0.30

Step-by-step explanation:

5 0
3 years ago
There are 25 girls going to Hershey Park for chorus.
Lunna [17]

Answer:

Solution given:

total no of girls [g]=25

let no of boys [b]=b

according to the question

g=2b+3

25-3=2b

b=22/2

b=11

<u>total number of boys going to Hershey Park is 11</u><u>.</u>

5 0
3 years ago
I MARK BRAINLIEST AND 50 points!!! find the magnitude of the resultant. forces of 92.6 lb and 118 lb act on an object. the angle
Lady bird [3.3K]

Answer:

This a vector addition problem and you need to know the law of cosines and law of sines to solve this problem.

Two vector forces of 80lbs and 70 lbs act on an object at 40 degree angle between them.

The magnitude of the resultant force can be found by applying the law of cosines:

c2 = a2 + b2 - 2abcos140°

where a = 80, b = 70 and c is the resultant force vector you are asked to find

Once you find the magnitude of the resultant force, then you can find the angle it makes wrt the 70lb force using the law of sines:

sinα/a = sin140°/c

where α is the angle opposite side a, or the angle between the resultant and the 70lb vector that you are asked to find. so it would be 140lbs

Step-by-step explanation

3 0
3 years ago
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