1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
ruslelena [56]
2 years ago
14

Determine and state an equation of the line perpendicular to the lines 5x-4y=10 and passing through the point (5,12). in point-s

lope form.
Please help I will mark branilest!!! and give 100 points
Mathematics
1 answer:
sergey [27]2 years ago
8 0
Perpendicular lines have slopes that are negative reciprocals of one another.

slope intercept form (y = mx + b) of the first equation will help us find the slope of the first line: where m = slope

5x-4y=10
-4y=-5x + 10
y=-5/-4 x + 10/-4
y=5/4 x -2.5

if the slope of this line is 5/4 then the slope of the perpendicular line is -4/5.

Therefore with the given information we can state the equation of the second line in point slope form (y-y,) = m(x-x,)

the coordinates of (5,12) can are substituted for x, and y,

so the answer is

(y-12) = -4/5(x-5)

I hope this helped and is BRAINLIEST!

Good luck with your studies!

You might be interested in
A box measures 6 inches by 2 inches by 3 inches. Find the volume of the box in cubic feet. Enter your answer as a fraction.
jeyben [28]
The measurements are in inches but the answer needs to be in feet, so we'll convert the numbers to feet first.

6"=1/2 ft
2"=1/6 ft
3"=1/4 ft

V=l×w×h
V=1/2*1/6*1/4
V=1/48 cubic ft

8 0
4 years ago
The equation 2x^2 + x - 1 = 0 has two solutions. Find an equation of the form ax^2 + bx + c = 0, which solutions....
leonid [27]

Answer:

Step-by-step explanation:

Let the solution to

2x^2 + x -1 =0

x^2+ (1/2)x -(1/2)

are a and b

Hence a + b = -(1/2) ( minus the coefficient of x )

ab = -1/2 (the constant)

A. We want to have an equation where the roots are a +5 and b+5.

Therefore the sum of the roots is (a+5) + (b+5) = a+ b +10 =(-1/2) + 10 =19/2.

The product is (a+5)(b+5) =ab + 5(a+b) + 25 = (-1/2) + 5(-1/2) + 25 = 22.

So the equation is

x^2-(19/2)x + 22 =0

2x^2-19x + 44 =0

B. We want the roots to be 3a and 3b.

Hence (3a) + (3b) = 3(a+b) = 3(-1/2) =-3/2 and

(3a)(3b) = 9(ab) =9(-1/2)=-9/2.

So the equation is

x^2 +(3/2) x -9/2 = 0

2x^2 + 3x -9 =0.

4 0
3 years ago
A line passes through the point (0, –4) and has a slope of 2/3. What is the equation of the line?
pshichka [43]

Step-by-step explanation:

the answer is in the above image

3 0
3 years ago
Use the long division method to find the result when 2 x 3 + 7 x 2 + 14 x + 12 2x 3 +7x 2 +14x+12 is divided by 2 x + 3 2x+3
egoroff_w [7]

Answer:

2 x 3 + 7 x 2 + 14 x + 12÷ 2x+ 3 = <u> x² +2x+ 4  </u>

Step-by-step explanation:

We multiply the first term 2x of the divisor with a term ( quotient) to get the first term of the dividend. Then we multiply the same term with each term of the divisor  and subtract it from the dividend. The process continues unless we get the zero or a much smaller number than the dividend as the remainder

              <u>  x² +2x+ 4                        </u>

2x+3    ║2 x 3 + 7 x 2 + 14 x + 12

               2x³ + 3x²

     <u>            -      -       </u>

                         4x² +14x+12

                          4x²+ 6x

                    <u>     -        -      </u>

                                   8x+12

                                     8x+12      

                               <u>    -        -   </u>

                              <u>        0         </u>

4 0
3 years ago
Pls answer 3/ 5 + 2 = 2 /3
Zinaida [17]

Answer:

3/5+2 does not equal 2/3

Step-by-step explanation:

Hope this helps!

4 0
3 years ago
Read 2 more answers
Other questions:
  • HELP ME PLS BBRAINLIESST AND 10 POINTS
    8·1 answer
  • Help please its timed​
    10·1 answer
  • How would u find 20% of the regular price? what would you do with this amount to find the sale price
    12·1 answer
  • The legs of a right triangle are 29.25 and 13. What is the hypotenuse?
    9·1 answer
  • a cube-shaped box has a volume of 125 cubic inches. if a box is packed full of cubes with edge lengths of 1 inch how many cubes
    14·1 answer
  • 4 th grade escape room answer ABCD
    9·2 answers
  • If you help I’ll mark as brainless
    11·1 answer
  • The ratio of boys to girls in a class is 7:9
    12·1 answer
  • 1 point
    7·2 answers
  • Round 2.51 to 1 decimal place
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!