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laiz [17]
4 years ago
14

How do you make a decimal graph

Mathematics
1 answer:
GenaCL600 [577]4 years ago
7 0
If there is a decimal, you usually round when graphing. 
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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
4 years ago
What is the value of x in the equation x - ty = 30, when y = 15?
Ostrovityanka [42]
Idjdjdjsjdjdkksjdjdhxjdldjbsudodkjshdkdlsjdjsjfodjdbdjdofkfjdjfodkdbdbdkososjwbsjskzobsnsidjfhd
7 0
3 years ago
Read 2 more answers
2. Find mzR and mzS.<br> 89°<br> R<br> 157 T<br> Р
baherus [9]

Answer:

m∠R = 123°

m∠S = 91°

Step-by-step explanation:

The measure of an inscribed angle is 1/2 the measure of the intercepted arc

m of arc QRS = 2 m∠P = 2(57) = 114

Now m of arc SPQ = 360 - 114 = 246

So, m∠R = 1/2(246) = 123

m of arc RSP = 2 m∠Q = 2(89) = 178

m of arc PQR = 360 - 178 = 182

m∠S = 1/2(182) = 91

5 0
3 years ago
Using the slope formula, find the slope of (1,-5) and (3,-17) pls pls help pls
inysia [295]

Answer:

-6

Step-by-step explanation:

5 0
3 years ago
Stuck on this question because I left my calculator and the others aren’t working please help
Pavlova-9 [17]

Answer:

-94%, -0.925, -9/10, -8/9

Step-by-step explanation:

-94% = -0.94

-8/9 = -0.89

-9/10 = -0.90

Since the values are negative the order is opposite then if they were all positive.

8 0
3 years ago
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