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3 years ago

F(5, 0) is the focus of a parabola whose vertex is

Mathematics

2 answers:

Gemiola [76]3 years ago

7 0

Answer:

Step-by-step explanation:

vertex (0,0) and focus (5,0) are horizontally aligned, so the directrix is vertical.

Vertex is halfway between focus and directrix. Directrix: x=-5

Goshia [24]3 years ago

4 0

You can use M a t h w a y . c o m

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1] If 221ₓ= 25₁₀ find X<br> 2] if 3ₓ + 34ₓ - 40ₓ = 0 find x<br> 3] if 23ₓ = 1111₂ find x

Olin [163]

$2\cdot x^2+2\cdot x^1+1\cdot x^0=25\\2x^2+2x+1=25\\2x^2+2x-24=0\\x^2+x-12=0\\x^2+4x-3x-12=0\\x(x+4)-3(x+4)=0\\(x-3)(x+4)=0\\x=3 \vee x=-4$

The base can't be negative, therefore $x=3$ .

$3\cdot x^0+3\cdot x^1+4\cdot x^0-4\cdot x^1+0\cdot x^0=0\\3+3x+4-4x=0\\x=7$

$2\cdot x^1+3\cdotx^0=1\cdot 2^3+1\cdot2^2+1\cdot2^1+1\cdot2^0\\2x+1=8+4+2+1\\2x=14\\x=7$

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2 years ago

Leon bought trail mix that cost $0.78 per pound. He paid $6.24 for the trail mix. How many pounds of trail mix did he buy?

12345 [234]

If Leon bought trail mix worth of $ 6.24, and he paid 0.78 per pound,

6.24/0.78= 8 lbs

3 0

3 years ago

Read 2 more answers

Doyle Company issued $500,000 of 10-year, 7 percent bonds on January 1, 2018. The bonds were issued at face value. Interest is p

mezya [45]

Answer:

Step-by-step explanation:

6 0

3 years ago

If (2,0) is a solution of the linear equation 2x+3y=k,then the value of k is

Margarita [4]

Answer:

k = 4

Step-by-step explanation:

Plug in the values of 2 for x and 0 for y, and solve for k.

2x + 3y = k

2(2) + 3(0) = k

4 = k

k = 4

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3 years ago

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System OT<br> W + b =13<br> 6.5w + 2b = 57.5

mixer [17]

Answer: w = 7, x = 6

Step-by-step explanation: Solve by substitution

W + b = 13

rewrite as b = 13 - w and substitute that value for b in the second equation

6.5w + 2b = 57.5 Then solve for w

6.5w + 2(13-w) = 57.5 . Distribute

6.5w + 26 - 2w = 57.5 . Subtract 26 from both sides. Combine like terms and simplify

6.5w - 2w = 57.5 - 26

4.5w = 31.5 Divide both sides by 4.65

w = 7 . Substitute 7 for w in the first equation and solve for b

7 + b = 13 . Subtract 7 from both sides

b = 6

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3 years ago