All categories

3 years ago

Point P is on line segment OQ. Given OQ = 4x + 2, PQ = 4x – 10, and

Mathematics

2 answers:

Verizon [17]3 years ago

7 0

Answer:

Step-by-step explanation:

Since, Point P is on line segment OQ.

$\therefore O - P - Q\\\\\therefore OP + PQ = OQ\\\\\therefore 3x - 3 + 4x - 10 = 4x + 2\\\\\therefore 7x - 13 = 4x + 2\\\\\therefore 7x - 4x = 2 + 13\\\\\therefore 3x = 15\\\\\therefore x = \frac{15}{3}\\\\\huge \purple {\therefore x = 5} \\\\OQ = 4x + 2 = 4\times 5 + 2 = 20 + 2\\\\\huge \orange {\boxed {OQ = 22}}$

Natali5045456 [20]3 years ago

7 0

Answer:

OQ=5

Step-by-step explanation:

The formula:

OP+PQ=OQ

Fill in the values for each segment using the values given:

3x-3+4x-10=4x+2

OP^ PQ^ OQ^

Simplify by adding like terms:

3x-3+4x-10=4x+2

7x-3-10=4x+2

add 13 to the right to isolate the variable:

7x-13=4x+2

+13 +13

7x=4x+15

subtract 4x to the left to isolate the variable:

7x=4x+15

-4x -4x

3x=15

Divide both sides by 3 to get the variable by itself:

3x=15

3 3

x=5 so OQ=5

You might be interested in

VXYZ is a rectangle with a length of 20cm and a width of 12 cm. The length of the rectangle is increased by 30%. The width of th

katrin [286]

Step-by-step explanation:

the area is

length × width

increasing the length by 30% means multiplying the original length by 1.3.

increasing the width by 10% means multiplying the original width by 1.1.

so, the new area is (by using the old length and width)

length × 1.3 × width × 1.1 = length × width × 1.3×1.1 =

= old area × 1.3 × 1.1 = old area × 1.43

so, the area increases by 43%.

8 0

3 years ago

14 = r - 9 Solve for r

Igoryamba

Answer:

Step-by-step explanation:

14=r-9

23=r

7 0

3 years ago

Can someone help me solve this?

Wittaler [7]

Answer:

∠ ABC = 22°

Step-by-step explanation:

OA = OB ( radii of circle )

Then Δ OAB is isosceles with base angles congruent , that is

∠ OBA = ∠ OAB = 17x

The sum of the 3 angles in the triangle sum to 180°

17x + 17x + 11x = 180

45x = 180 ( divide both sides by 45 )

x = 4

Then

∠ OBA = 17x = 17(4) = 68°

BC is a tangent so ∠ OBC = 90°

∠ ABC = 90° - ∠ OBA = 90° - 68° = 22°

7 0

3 years ago

What is the amplitude of g(x) = 10 cos (6x - 1) – 4?

aev [14]

Answer:

im notm sure sorry

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

What is the inverse of f(x)=(-2x+2)/(x+7)?

Nana76 [90]

By applying the concept of the inverse of a function and algebraic handling, we conclude that the inverse of f(x) = (- 2 · x + 2)/(x + 7) is g(x) = (- 7 · x + 2)/(x + 2).

<h3>How to find the inverse of a function</h3>

In this question we have a rational function f(x) and finding its inverse consists in clearing x in terms of f(x). Prior any algebraic handling, we need to apply the following substitutions:

$x \to y$

$f(x) \to x$

$x = \frac{-2\cdot y + 2}{y+7}$

x · (y + 7) = - 2 · y + 2

x · y + 7 · x = - 2 · y + 2

2 · y + x · y = - 7 · x + 2

y · (2 + x) = - 7 · x + 2

$g(x) = \frac{- 7\cdot x + 2}{x + 2}$

By applying the concept of the inverse of a function and algebraic handling, we conclude that the inverse of f(x) = (- 2 · x + 2)/(x + 7) is g(x) = (- 7 · x + 2)/(x + 2).

To learn more on inverses: brainly.com/question/7181576

#SPJ1

4 0

2 years ago