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3 years ago

Expression 1 6 x 7 – 3^2 x 9 + 4^3 =

Mathematics

1 answer:

matrenka [14]3 years ago

8 0

16x7-3^2x9+4^3

2x5+4x2+6-2x2-1

i hope that helps

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Which decimal is equivalent to 4/20

Anastaziya [24]

The answer should be .20

6 0

3 years ago

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

Part 1

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 $\left(\dfrac{a}{b} \right)^c=\dfrac{a^c}{b^c}$ :

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

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

$\implies k=9$

Part 2

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

G2 – 4g – 21 = (g – )(g + )

Sloan [31]

g^2 – 4g – 21 = (g – 7)(g +3 )

hope it helps

8 0

3 years ago

Read 2 more answers

Please help me I’m getting timed

UNO [17]

Answer:

Step-by-step explanation:

or the third down from the top. Count the sides and multiply by how many layers

3 0

3 years ago

LOTS OF POINTS, WILL MARK BRAINLIEST! pls show working!!!!!

sp2606 [1]

Answer: ΔTAU ≈ ΔUAV ≈ ΔTUV

Step-by-step explanation:

I'm not really sure what "work" you really need; this is a problem that can be solved easily by simply looking at the triangles and seeing which sides have the same ratio of distances for each side.

Best of luck with your assignment. :) Feel free to give me Brainliest if you feel this helped. Have a good day.

8 0

2 years ago