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erik [133]
3 years ago
11

Simplify -2(-6+5k)-1

Mathematics
1 answer:
vivado [14]3 years ago
5 0
<span>-2(-6+5k)-1
Use distributive property(Multiply the -2 by the -6 and 5k)*Note: When you multiply a negatavie number by another negative number, it creates a positive number.
12 - 10k - 1
Subtract 1 from 12.
Final Answer: 11 - 10k
This equation cannot be simplified down any longer.</span>
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Brain has 3 basketball cards and 5 baseball cards. What fraction of Brain’s cards are baseball cards?
Lyrx [107]

Total cards = 3 + 5 = 8 cards.

5 are baseball, the fraction is number of baseball cards over the total number of cards = 5/8


8 0
4 years ago
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Find the equation of the parabola with its focus at (5,0) and it’s directrix y=2
Verizon [17]

Answer:

Option A

Step-by-step explanation:

From the question given in the picture attached,

Directrix of the parabola → y = 2

Focus of the parabola → (-5, 0)

Since, focus is below the directrix, parabola will open open downwards.

Equation of the parabola will be in the form of,

y - k = -4p(x - h)²

Here, (h, k) is the vertex of the parabola

p = Distance between vertex and focus or distance between vertex and directrix

Since, distance between vertex and focus = Distance between vertex and directrix

Therefore, vertex of the parabola → (-5, 1)

Now distance (p) between vertex (-5, 0) and focus (-5, 1) = 1 unit

By substituting these values in the equation,

y - 1 = -4(1)[x - (-5)]²

y - 1 = -4(x + 5)²

y = -4(x + 5)² + 1

Option A will be the answer.

3 0
3 years ago
David buys a bicycle that is on sale for 20% off the original price. The discounted price is $80 less than the original price. W
Ludmilka [50]
The original price of the bicycle is $400.
6 0
4 years ago
HELP HELP HELP
kirill [66]

Answer: I think b=5

Step-by-step explanation:

3 0
3 years ago
Cos(0)=square root 3/3, sin 0&lt;0. what is the value of sin0​
abruzzese [7]

Answer:

sin θ = \frac{\sqrt{6} }{3}

Step-by-step explanation:

Given that,

cos θ = \frac{\sqrt{3} }{3}

From the trigonometric functions,

cos θ = \frac{adjacent}{hypotenus}

⇒ adjacent = \sqrt{3}, and the hypotenuse = 3

Let the opposite side be represented by x, applying the Pythagoras theorem we have;

/hyp/^{2} = /adj/^{2} + /opp/^{2}

/3/^{2} = (\sqrt{3} )^{2} + x^{2}

9 = 3 + x^{2}

x^{2} = 9 - 3

   = 6

x = \sqrt{6}

Thus, opposite side = \sqrt{6}

So that,

sin θ = \frac{opposite}{hypotenuse}

        = \frac{\sqrt{6} }{3}

Therefore,

sin θ = \frac{\sqrt{6} }{3}

6 0
3 years ago
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