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What is the equation of (4,10),(6,11) in standard form?

SIZIF [17.4K]

ANSWER

The standard form is:

$x - 2y = - 16$

EXPLANATION

The given line passes through (4,10)and (6,11).

The slope of this line is

$m = \frac{11 - 10}{6 - 4}$

$m = \frac{1}{2}$

The equation is given by the formula,

$y-y_1=m(x-x_1)$

We plug in the first point and the slope to get.

$y-10= \frac{1}{2} (x-4)$

$2y - 20 = x - 4$

$x - 2y = - 20 + 4$

$x - 2y = - 16$

The standard form is

$x - 2y = - 16$

7 0

3 years ago

50 POINTS

Marina86 [1]

vi is going in the positive direction (up). (That's my choice). a (acceleration) is going in the minus direction (down). The directions could be reversed.

Givens

vi = 160 ft/s

vf = 0 (the rocket stops at the maximum height.)

a = - 9.81 m/s

t = ????

Remark

YOu have 4 parameters between the givens and what you want to solve. Only 1 equation will relate those 4. Always always list your givens with these problems so you can pick the right equation.

Equation

a = (vf - vi)/t

Solve

- 32 = (0 - 160)/t Multiply both sides by t

-32 * t = - 160 Divide by -32

t = - 160/-32

t = 5

You will also need to solve for the height to answer part B

t = 5

vi = 160 m/s

a = - 32

d = ???

d = vi*t + 1/2 a t^2

d = 160*5 + 1/2 * - 32 * 5^2

d = 800 - 400

d = 400 feet

Part B

You are at the maximum height. vi is 0 this time because you are starting to descend.

vi = 0

a = 32 m/s^2

d = 400 feet

t = ??

formula

d = vi*t + 1/2 a t^2

400 = 0 + 1/2 * 32 * t^2

400 = 16 * t^2

400/16 = t^2

t^2 = 25

t = 5 sec

The free fall takes the same amount of time to come down as it did to go up. Sort of an amazing result.

6 0

4 years ago

Which equation can be solved by using this system of equations?

laila [671]

If you observe the two given equations, the left hand side of both equation is the same and is equal to y.

Since the left hand side of two equations is the same, we can conclude that the right hand side of two equations must also be the same.

So, setting them right hand sides of both equations equal to each other and solving for x, we can find the solution to the simultaneous equations.

Therefore, the correct answer is option B

8 0

3 years ago

Read 2 more answers

Find [-4/5]×3/7×15/16×[-14/9]

dangina [55]

The given expression is $\frac{-4}{5} \times \frac{3}{7} \times \frac{15}{16} \times (\frac{-14}{9})$ .

We need to simplify the given expression.

<h3>What is a rational number?</h3>

In mathematics, a rational number is a number that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q.