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solmaris [256]
3 years ago
15

Can someone help me with this problem? a + (b + 12) = (b + 12) + a

Mathematics
1 answer:
Aleksandr [31]3 years ago
7 0

Answer: True 12=12

a+(b+12)=(b+12)+a

a+b+12=b+12+a

Which equals each other

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What is the equation of the parabola in vertex form with vertex (2,-4) and directrix y=-6​
Pachacha [2.7K]

Answer:

y=\dfrac{1}{8}(x-2)^2-4

Step-by-step explanation:

The directrix y=-6 is parallel to the x axes, so parabola has equation of the form

(x-x_0)^2=2px(y-y_0),

where (x_0,y_0) is the vertex of parabola and p is parabola's parameter.

By the definition, \frac{p}{2} is the distance from the vertex to the directrix, so

\dfrac{p}{2}=2\Rightarrow p=4

Hence, the equation of parabola is

(x-2)^2=8(y+4)

See attached diagram for the graph of parabola and its directrix.

In vertex form this equation is

y=\dfrac{1}{8}(x-2)^2-4

8 0
4 years ago
(01.04 MC)The elevation of city A is 80 feet below sea level; the elevation of city C is 16 feet below sea level. The elevation
fomenos

A) The expression to represent the elevation in feet of city D is; ¹/₂ × (-16) ft

B) The solution to the expression of the elevation of City D is; -8 fr which is negative because it falls below sea level.

First of all, sea level is at 0 ft.

Thus;

If city A has an elevation of 80 ft below sea level, then;

Elevation of city A = -80 ft

The elevation of city C is 16 feet below sea level. Thus;

Elevation of city C = -16 ft

A) The elevation of city D is ¹/₂ of the elevation of city C. Thus;

Expression for Elevation of city D = ¹/₂ × (-16)

B) Solving the expression for elevation of city D gives;

Elevation of City D = -8 ft

The reason why the answer is negative is because any distance below sea level is considered to be negative and city C which is twice the elevation of city D is negative, and so city D must also have a negative elevation.

Read more about below sea level elevations at; brainly.com/question/14837848

6 0
3 years ago
6 hours more per week than Theodore studies
Flura [38]

Answer:

who is Theodore and what even is the question?

3 0
3 years ago
Question 4<br> 1 pts<br> Solve:<br> -(x-8)= -2<br> x = [a]
Ber [7]

Answer:

-[x-8]= -2

-x+8=-2

-x= -2-8

-x÷ -1=-10÷ -1

x=10√

7 0
3 years ago
Is 0.23 a rational number? choose the best explanation
Delvig [45]

Answer:

Yes it is a rational number. (There are no explanations)

Step-by-step explanation:

8 0
3 years ago
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