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velikii [3]
3 years ago
8

Identify the first step when evaluating the expression 11 – 10 ÷ 2 + 6 × 1

Mathematics
1 answer:
notsponge [240]3 years ago
6 0
1st step when evaluating- 6 x 1
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What is the equation of the parabola with a directrix at y = 4 and focus (0, -4).
Svet_ta [14]
Given that the directrix is at y = 4 and the focus is at (0, -4), then the vertex is at (h, k) = (0, 0).
p is the distance between the vertex and the focus and between the vertex and the directrix = 4 and since the focus is below the directrix, p is negative, i.e. p = -4
Equation of a parabola is given by (x - h)^2 = 4p(y - k)
Therefore, the required equation is (x - 0)^2 = 4(-4)(y - 0)
x^2 = -16y
y = -1/16 x^2
3 0
3 years ago
Which expression is equivalent to 454•41/4 /1/2 4. 1/2
givi [52]

Answer:

2

Step-by-step explanation:

if you work inside parentheses first you get:

4^3/2 ÷ 4^1/2 which is 4

4^1/2 = \sqrt{4} which is 2

8 0
3 years ago
Simplifying an Expression with the Numerator and the Denominator Raised to a Power
slamgirl [31]

Answer:

The answer to your question is    the second option     \frac{1}{x^{48}y^{36}z^{6}}

Step-by-step explanation:

Expression

                       [\frac{(x^{2}y^{3})^{-2}}{(x^{6}y^{3}z)^{2}}]^{3}

Process

1.- Divide the fraction in numerator and denominator

a) Numerator  

 [(x²y³)⁻²]³ = (x⁻⁴y⁻⁶)³ = x⁻¹²y⁻¹⁸

b) Denominator

 [(x⁶y³z)²]²= (x¹²y⁶z²)³ = x³⁶y¹⁸z⁶

2.- Simplify like terms

a) x⁻¹²x⁻³⁶ = x⁻⁴⁸

b) y⁻¹⁸y⁻¹⁸= y⁻³⁶

c) z⁻⁶

3.- Write the fraction

        \frac{1}{x^{48}y^{36}z^{6}}

6 0
3 years ago
X^2-4x+1=0 . RESOLVE PLS
Mkey [24]

x^2-4x+1=0\\ x^2-4x+4-3=0\\ (x-2)^2=3\\ x-2=\sqrt 3\vee x-2=-\sqrt3\\ x=2+\sqrt 3\vee x=2-\sqrt3

4 0
4 years ago
Write an equation of the circle given its center and radius
BlackZzzverrR [31]

{(x + 4)}^{2}  +  {(y + 3)}^{2}  = 64

7 0
3 years ago
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