What is the value of 3^3-(4)(2) ?

What is the solution to the system of equations?

natka813 [3]

Answer:

Step-by-step explanation:

There is an error in the question. The table does not show two linear functions. y₁ is a linear function, but y₂ is not a straight line. It makes a bend at (-6,1).

Line 1 goes through (-12,-3) and (0,5).

slope = (5-(-3))/(0-(-12)) = 2/3

y-intercept = 5

y₁ = (2/3)x + 5

Line 2 goes through (-12,-2) and (-6,1).

slope = (1-(-2))/(-6-(-12)) = 1/2

y₂ = (1/2)x + 4

(2/3)x + 5 = (1/2)x + 4

x = -6

y = (2/3)x + 5 = 1

Solution: (-6,1)

3 0

3 years ago

Major league baseball's fastest recorded pitch is 105 miles per hours. The distance between the pitcher's mound and home plate i

blsea [12.9K]

Answer:

0.4 sec

Step-by-step explanation:

Remember that

1 mile=5,280 feet

1 foot=12 inches

1 hour=3,600 seconds

Let

s -----> the speed in ft/sec

d ----> the distance in ft

t -----> the time in sec

s=d/t

Solve for t

t=d/s

step 1

Convert miles/hour to ft/sec

105 mi/h=105(5,280/3,600)=154 ft/sec

Convert 60 ft 6 in to ft

60 ft 6 in=60+(6/12)=60.5 ft

step 2

Find the time

t=d/s

we have

s=154 ft/sec

d=60.5 ft

substitute

t=60.5/154

t=0.39 sec

Round to the nearest tenth

t=0.4 sec

6 0

3 years ago

What is the length of segment AC?

harkovskaia [24]

Answer: 10

Step-by-step explanation:

see attached picture

8 0

3 years ago

Write an equation in slope-intercept form of the line that passes through the given point and is parallel to the graph of the gi

scoundrel [369]

The given equation is y + 2 = 4(x - 1)

The equation of the parallel line in the slope-intercept form is y = 4x - 7

Step-by-step explanation:

Parallel lines have

Same slopes
Different y-intercepts

The slope-intercept form of the equation of a line is y = mx + b, where m is the slope of the line and b is the y-intercept

∵ The equation of the given line is y + 2 = 4(x - 1)

- Change its form to slope-intercept form to find its slope

∵ y + 2 = 4(x) - 4(1)

∴ y + 2 = 4x - 4

- Subtract 2 from both sides

∴ y = 4x - 6

- Compare it with the slope-intercept form to find m

∵ the slope-intercept form is y = mx + b

∴ m = 4

∵ The parallel lines have same slopes

∴ The slope of the parallel line is 4

- Substitute it in the form of the equation

∴ The equation of the parallel line is y = 4x + b

- To find b substitute x and y in the equation by the

coordinates of a point on the line

∵ The parallel line passes through point (1 , -3)

∴ x = 1 and y = -3

∵ -3 = 4(1) + b

∴ -3 = 4 + b

- Subtract 4 from both sides

∴ -7 = b

∴ The equation of the parallel line is y = 4x + (-7)

∴ The equation of the parallel line is y = 4x - 7

The equation of the parallel line in the slope-intercept form is y = 4x - 7

Learn more:

You can learn more about the linear equations in brainly.com/question/4152194

#LearnwithBrainly

4 0

3 years ago

Let line $l_1$ be the graph of $5x + 8y = -9$. Line $l_2$ is perpendicular to line $l_1$ and passes through the point $(10,10)$.

SashulF [63]

Answer:

m + c = - 4.4

Step-by-step explanation:

Line 1 is given by the equation 5x + 8y = -9, ⇒ $y = - \frac{5}{8} x - \frac{9}{5}$ ........(1) {In slope-intercept form}

If line 2 is perpendicular to the line 1 then the equation of line 2 will be

$y = \frac{8}{5} x + c$ ........ (2), where c is a constant. {Since the product of the slopes of two perpendicular straight line is -1}

Now, the line 2 passes through the point (10,10).

So, from equation (2), we get,

$c = y - \frac{8}{5} x = 10- \frac{8 \times 10}{5} = - 6$

Therefore, the equation of line 2 will be $y = \frac{8}{5} x - 6$

This equation is in y = mx + c form where $m = \frac{8}{5} = 1.6$ and c = - 6

Hence, m + c = 1.6 - 6 = - 4.4 (Answer)

7 0

3 years ago