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3 years ago

5

Solve the inequality 9h+2< -79

1 answer:

Dmitrij [34]3 years ago

6 0

9h < -79 - 2
9h < -81
h < -81/9
h < -9

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Is the following shape a rectangle

Gelneren [198K]

Answer:

c

Step-by-step explanation:

no because the adjacent sides are not perpendicular.

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3 years ago

Ron Haslam gets a Social Security benefit of $1,200 per month. His wife receives a benefit equal to 40 percent of Ron's benefit.

mr Goodwill [35]

The awnser would be $230

5 0

3 years ago

Read 2 more answers

Suppose that y = k * (x - 1/3) ^ 2 is a parabola in the xy -plane that passes through the point (2/3, 1) :Find k and the length

Dennis_Churaev [7]

Answer:

k = 9

length of chord = 2/3

Step-by-step explanation:

Equation of parabola: $y=k (x-\frac13)^2$

<u />

<u>Part 1</u>

If the curve passes through point $(\frac23 ,1)$ , this means that when $x=\dfrac23$ , $y = 1$

Substitute these values into the equation and solve for $k$ :

$\implies 1=k \left(\dfrac23-\dfrac13\right)^2$

$\implies 1=k \left(\dfrac13 \right)^2$

Apply the exponent rule $\left(\dfrac{a}{b} \right)^c=\dfrac{a^c}{b^c}$ :

$\implies 1=k \left(\dfrac{1^2}{3^2} \right)$

$\implies 1=\dfrac{1}{9}k$

$\implies k=9$

<u>Part 2</u>

The chord of a parabola is a line segment whose endpoints are points on the parabola.

We are told that one end of the chord is at $(\frac23 ,1)$ and that the chord is horizontal. Therefore, the y-coordinate of the other end of the chord will also be 1. Substitute y = 1 into the equation for the parabola and solve for x:

$\implies 1=9 \left(x-\dfrac13 \right)^2$

$\implies \dfrac19 = \left(x-\dfrac13 \right)^2$

$\implies \sqrt{\dfrac19} = x-\dfrac13$

$\implies \pm \dfrac13 = x-\dfrac13$

$\implies x=\dfrac23, x=0$

Therefore, the endpoints of the horizontal chord are: (0, 1) and (2/3, 1)

To calculate the length of the chord, find the difference between the x-coordinates:

$\implies \dfrac23-0=\dfrac23$

**Please see attached diagram for drawn graph. Chord is in red**

6 0

2 years ago

What is parallel to y=-2x+2 and goes through the points (-1,5).

Shtirlitz [24]

Your answer is: y= -2x+3

8 0

3 years ago

70% of a number is 98.

hammer [34]

The solution is as follows:

Set up the proportion:

70% - 98
90% - x

70% / 90% = 98 / x

7 / 9 = 98 /x

(7 / 9) x = 98

x = 98 x 9/7

x = 14 x 9

x = 126

The answer is <span>D. 126.

I hope my answer has come to your help. God bless and have a nice day ahead!</span>

8 0

4 years ago