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Natalija [7]
3 years ago
10

Hello, look at the picture I established at the bottom I will be giving you thanks, 5 stars, and brain least, Thank you. Have a

nice afternoon!

Mathematics
1 answer:
baherus [9]3 years ago
5 0

Answer:

I think B 10 diamond and 12 circles

Step-by-step explanation:

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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
What is the surface area of the triangular prism?
Fofino [41]

Answer:

116.33

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Out of a class of 30 students, 24 were in class on Thursday. What percent were in class
snow_lady [41]

Answer:

24/30 = 0.8

0.8x100 = 80

Answer = 80%

8 0
3 years ago
Read 2 more answers
2) Simplify 675 divided (6+9 divided by 3)=
Volgvan

6+9=15

15 divided by 3=5

675 divided 5= 135

6 0
3 years ago
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Mrs. Hernandez is redesigning her craft room which is in the shape of a rectangular prism. She wants to add wainscoting, which i
maksim [4K]

Answer:

312

Step-by-step explanation:

T.S.A : ( 2 × L × w ) + ( 2 × h × w ) + ( 2 × L × h ) = Area

9 - 3 = 6 - 3 = 3

( 2 × 12 × 3 ) + ( 2 × 8 × 3 ) + ( 2 × 12 × 8 ) = Area

72 + 48 + 192 = 312

5 0
2 years ago
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