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snow_tiger [21]
3 years ago
11

Athena hiked 6 miles in 2 hours . Which of the following can be represented by an equivalent ratio ? Explain your thinking

Mathematics
1 answer:
AnnZ [28]3 years ago
8 0
12 miles in 4 hours. Check photo for the work and explanation and please mark me as brainliest if you think i helped you!

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How do you express sin x + cos x in terms of sine only?
frez [133]

Answer:

\sin x + \sqrt{1-\sin^2x}

Step-by-step explanation:

Given: sin x + cos x

To change the given trigonometry expression in term of sine only.

Trigonometry identity:-

  • \sin^2x+\cos^2x=1
  • \cos x=\sqrt{1-\sin^2x}

Expression: \sin x+\cos x

We get rid of cos x from expression and write as sine form.

Expression: \sin x + \sqrt{1-\sin^2x}        \because \cos x=\sqrt{1-\sin^2x}

Hence, The final expression is only sine function.

4 0
4 years ago
What is the HCF of 54
Gemiola [76]

The HCF is the Highest Common Factor of a number in this case 54. This is the highest number times another number which = 54. The HCF for 54 is 18.

4 0
2 years ago
Let set C = {even numbers between 1 and 99} and set D = {numbers between 1 and 150 that are evenly divisible by 10}.
Alex
C=\{2;\ 4;\ 6;\ 8;\ ...;\ 98\}\\\\D=\{10;\ 20;\ 30;\ 40;\ 50;\ 60;\ ...;\ 140\}\\\\C\ \cap\ D=\{10;\ 20;\ 30;\ 40;\ 60;\ 70;\ 80;\ 90\}\\\\Answer:\boxed{A}
4 0
3 years ago
Find the answers to the following:
Mama L [17]

Answer:

A) y=mx+b

B) The slope of a line is a number that describes both the direction and the steepness of the line. The slope of the line is either increasing, decreasing, horizontal or vertical.

C) m= rise/run =y2-y1/x2-x1

D) A rate of change describes how one quanity changes with respect to the other. The rate of Change for a line is the slope, the rise over run, or the change in y over the change in x.

E)The y-intercept of the line is the value of y where the line crosses the y-axis.

F)The x-intercept of the line is the value of x where the line crosses the x-axis.

G) The point-slope formula is y-y1=m(x-x1)

H)HOY stands for Horizontal line, slope =0, their equations are in the form y= a constant

I)VUX stands for Vertical line, slope =Undefined, their equations are in the form x= a constant

J)If two lines are parallel, this means that the slopes are the same and the y-intercept are different.

K) The slope of perpendicular lines are the negative reciprocals of each other, and a pair of these lines intersects at 90 degrees

L) The similarities between parallel lines are they have the same steepness, or same angle from the horizontal. Since they have the same steepness they have the same slope.

M)The relationship between two lines that are perpendicular intersect at right angles. they are coplanar lines

8 0
3 years ago
Find an equation of the parabola with focus (2, −3) and directrix y = 1.
Likurg_2 [28]

Answer:

Step-by-step explanation:

The correct option is option (C).

The required equation of the parabola is

Step-by-step explanation:

Formula:

The distance of a point (x₁,y₁) from a line ax+by+c=0 is

.

The distance between two points (x₁,y₁) and (x₂,y₂) is

Given that, the focus of the parabola is (2,3) and directrix y= - 1.

We know that, a parabola is the locus of points that equidistant from the directrix and the focus.

Let any point on the parabola be  P(x,y)  .

The distance of P from the directrix is

           

=y+1

The distance of the point P from the focus (2,3) is

According to the problem,

 

The required equation of the parabola is

5 0
3 years ago
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