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crimeas [40]
2 years ago
7

Express 3 to the powermof -2 as rational number

Mathematics
1 answer:
faltersainse [42]2 years ago
3 0

Answer:

(2/3)³

2³/3³

2³ × 3^(-3)

Step-by-step explanation:

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grigory [225]

height of mt.= 4000meters

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5 0
1 year ago
The perimeter of the kite is 134 cm. Find the value of x.
frez [133]

Answer:

x = 10 cm

Step-by-step explanation:

(3x + 2) + (3x + 2) + (4x - 5) + (4x - 5) = 134 cm

combine like terms:

14x - 6 = 134

add 6 to each side of the equation:

14x = 140

divide both sides by 14:

x = 10

3 0
3 years ago
Find the measure of <0
TEA [102]

answer is C

hope that helps^^

7 0
3 years ago
Please help! A-level maths.
astra-53 [7]

x+y=k\implies y=k-x

Substitute this into the parabolic equation,

k-x=6-(x-3)^2\implies x^2-7x+(k+3)=0

We're told the line x+y=k intersects C twice, which means the quadratic above has two distinct real solutions. Its discriminant must then be positive, so we know

(-7)^2-4(k+3)=49-4(k+3)>0\implies k

We can tell from the quadratic equation that C has its vertex at the point (3, 6). Also, note that

-1\le\sin t\le1\implies3\le3+2\sin t\le5\implies3\le x\le5

and

-1\le\cos2t\le1\implies2\le4+2\cos2t\le6\implies2\le y\le6

so the furthest to the right that C extends is the point (5, 2). The line x+y=k passes through this point for 2+5=k\implies k=7. For any value of k, the line x+y=k passes through C either only once, or not at all.

So 7\le k; in set notation,

\{k\mid 7\le k

4 0
3 years ago
Graph + > -1.
andrew-mc [135]

You have the right idea but the endpoint is at the wrong location. Instead, the green dot should go at -1. The shading is to the right. We use a closed filled in circle here (instead of an open hole) to tell the reader "include the endpoint". So -1 is part of the solution set.

In short, the graph consists of a closed filled in circle at -1 with shading to the right. This visually describes all values that are larger than -1, or equal to -1.

6 0
2 years ago
Read 2 more answers
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