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2 years ago

What is the slope of the line shown in the graph?

Mathematics

2 answers:

Ivan2 years ago

4 0

Since the line crosses the x axis, it is undefined or (3,0)

ArbitrLikvidat [17]2 years ago

3 0

Answer: Undefined

Step-by-step explanation:

The slope of the line is undefined because the slope of the line is the change in y over the change in x. The change in x is 0 but the change in y is a number. Any number divided by 0 must be undefined.

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In order for Josh to graph the solution to the inequality 4x - 2y > 6, which of the following steps does he need to use? Sele

umka21 [38]

B:Solve the inequality as y < 2x-3.

D:Draw the line y=2x-3 as a dashed line.

E:Shade below the line.

This are the Correct Answers

3 0

3 years ago

Read 2 more answers

A bridge is built in the shape of a parabolic arch. The bridge arch has a span of 166 feet and a maximum height of 40 feet. Find

scoray [572]

Answer:

38.27775 feet

Step-by-step explanation:

The bridge has been shown in the figure.

Let the highest point of the parabolic bridge (i.e. vertex of the parabola) be at the origin, $O(0,0)$ in the cartesian coordinate system.

As the bridge have the shape of an inverted parabola, so the standard equation, which describes the shape of the bridge is

$x^2=4ay\;\cdots(i)$

where $a$ is an arbitrary constant (distance between focus and vertex of the parabola).

The span of the bridge = 166 feet and

Maximum height of the bridge= 40 feet.

The coordinate where the bridge meets the base is $A(83, -40)$ and $B(-83, -40).$

There is only one constant in the equation of the parabola, so, use either of one point to find the value of $a$ .

Putting $A(83,-40)$ in the equation (i) we have

$83^2=4a(-40)$

$\Rightarrow a=-43.05625$

So, on putting the value of $a$ in the equation (i), the equation of bridge is

$x^2=-172.225y$

From the figure, the distance from the center is measured along the x-axis, x coordinate at the distance of 10 feet is, $x=\pm 10$ feet, put this value in equation (i) to get the value of y.

$(\pm10)^2=-172.225y$

$\Rightarrow y=-1.72225$ feet.

The point $P_1(10,-1.72225)$ and $P_2(-10,-1.72225)$ represent the point on the bridge at a distance of 10 feet from its center.

The distance of these points from the x-axis is $d=1.72225$ feet and the distance of the base of the bridge from the x-axis is $h=40$ feet.

Hence, height from the base of the bridge at 10 feet from its center

$= h-d$

$=40-1.72225=38.27775$ feet.

8 0

3 years ago

It take 10 road workers 5 days to complete a road repair when working 2 hours a day.Working at the same Pace, how many days will

ludmilkaskok [199]

Answer:

The workers will need 10 days to finish the job.

Step-by-step explanation:

To solve this question we can use a compound rule of three. We have:

10 road workers -> 5 days -> 2h/day

2 road workers -> x days -> 5h/days

The first thing we should do is analyze how the proportions between the variables work, if they're inversely or directly proportional. If we raise the number of workers we expect that the amount of days needed to finish the job lowers and if we raise the number of hours worked in a day we expect that the workers would need less days to finish the job. So we need to invert the fractions that are inversely proportional to the amount of days worked, then we have:

2 -> 5 -> 5

10-> x -> 2

x = (5*2*10)/(2*5) = 100/10 = 10 days

8 0

3 years ago

PLEASE HELP, THANK YOU! :)

elena-s [515]

Steps to solve:

-4z + 4 + 12z = 3z + 4 + 5z

~Combine like terms

8z + 4 = 8z + 4

~Subtract 4 to both sides

8z = 8z

~Divide 8 to both sides

0 = 0

All real numbers are solutions.

Set builder notation: {x | R}

This is an identity since every value can be a solution to the equation.

Best of Luck!

8 0

3 years ago

How could you use coordinate geometry to prove that BC AD?

leva [86]

Answer:

3) Prove the lengths are the same.

Step-by-step explanation:

Congruent is a measure of the lengths of the sides not the slopes.

4 0

3 years ago