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Yuliya22 [10]
2 years ago
12

THE METHOD TO SOLVE THIS 2 EQUATION IS SUBSTITTUION AND ALGERBRICALLY HERE'S THE EQUATION:

Mathematics
1 answer:
Anon25 [30]2 years ago
3 0

Answer:

x = 3, y = 3

Step-by-step explanation:

x = -5x -18

5x + 18 = -x

6x + 18 = 0

6x = 18

x = 3

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A child lies on the ground and looks up at the top of a 9-ft tree nearby. The child is 13 ft away from the tree. What is the ang
choli [55]
Draw a right triangle to represent the problem.
The vertical height of the triangle is 9 ft, and it represents the tree.
The horizontal length, at the bottom of the tree is ground level and has a length of 13 ft.

Let x =  angle of elevation.

By definition,
tan x = 9/13 = 0.6923
x = arctan(0.6923) = 34.7 deg. = 35 deg (approx)

Answer: 35°
8 0
3 years ago
A baseball is thrown in a parabolic arc. It's position above the ground at a given point in time can be represented by the quadr
SCORPION-xisa [38]

Answer:

The baseball reached 9 feet high above the ground

Step-by-step explanation:

The given quadratic function representing the position of the baseball above ground is p(t) = 1/2·g·t² + v₀·t + p₀

Where;

t ≥ 0

g = -32 ft./sec²

v₀ = The initial velocity

p₀ = The initial position

Given that when the ball is thrown, we have;

The initial, straight up, velocity, v₀ = 16 ft./sec

The initial position, p₀ = 5 ft.

Substituting the above values in the quadratic function representing the position of the baseball above ground, we have;

p(t) = 1/2·(-32)·t² + 16·t + 5 = 16·t - 16·t² + 5

At the maximum point, the rate of change of the height with time = 0, therefore;

dp(t)/dt = 0 = d(16·t - 16·t² + 5)/dt = 16 - 32·t

16 - 32·t = 0

16 = 32·t

t = 16/32 = 0.5 seconds

Therefore, the time takes to reach the maximum height = 0.5 seconds

The height (maximum) reached in 0.5 seconds is given as follows;

h(t) = 16·t - 16·t² + 5, from which we have;

h(0.5) = 16 × 0.5 - 16 × (0.5)² + 5 = 9

Therefore, the height baseball reached = 9 ft. above ground

7 0
3 years ago
Simplify √ 105 <br> A. 2√ 7 <br> B. √ 42 <br> C. 2√ 3 <br> D. √ 105
IrinaVladis [17]

√105 is written in simplest form already.

The answer would be D. √105

7 0
3 years ago
Can a ray be bisected?
34kurt

Such a ray that divides an angle into two equal angles is called an angle bisector.

Likewise, two rays that divide an angle into three congruent angles are called angle trisectors. Figure %:

An angle bisected and trisected On the left, angle ABC is bisected by the ray BD.

Credits to google.

In short, no.

8 0
3 years ago
Given that cos (x) = 1/3, find sin (90 - x)
drek231 [11]
\sin{(A - B)} \equiv \sin{A}\cos{B} - \cos{A}\sin{B} \\\\&#10;\therefore \sin{(90 - x)}\\&#10; = \sin{(90)}\cos{(x)} - \cos{(90)}\sin{(x)} \\&#10;= (1)\cos{(x)} - (0)\sin{(x)} \\&#10;= \cos{x} - 0 \\&#10;= \cos{x} \\&#10;= \frac{1}{3}&#10;
3 0
3 years ago
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