All categories

3 years ago

Which equation represents the data in this function table?

Mathematics

1 answer:

Rudiy273 years ago

3 0

Answer: The answer is B. Because 3 multiplied by x and add it by 3 equates to y. example: (x=2) 3x2+3= y. y=9 .

You might be interested in

From base camp, a hiker walks 3.5 miles west and 1.5 miles north. Another hiker walks 2 miles east and 0.5 miles south. To the n

levacccp [35]

Answer:

The hikers are 5.9 miles apart.

Step-by-step explanation:

Let O represents the base camp,

Suppose after walking 3.5 miles west, first hiker's position is A, then after going 1.5 miles north from A his final position is B,

Similarly, after walking 2 miles east, second hiker's position is C then going towards 0.5 miles south his final position is D.

By making the diagram of this situation,

Let D' is the point in the line AB,

Such that, AD' = CD

In triangle BD'D,

BD' = AB + AD' = 1.5 + 0.5 = 2 miles,

DD' = AC = AO + OC = 3.5 + 2 = 5.5 miles,

By Pythagoras theorem,

$BD^2 = BD'^2 + DD'^2$

$BD = \sqrt{2^2 + 5.5^2}=\sqrt{4+30.25}=\sqrt{34.25}\approx 5.9$

Hence, the hikers are 5.9 miles apart.

8 0

3 years ago

This figure consist of a rectangle a semi circle and a quarter circle what is the perimeter of this figure use 3.14 for pi

alexandr402 [8]

Answer:

37.55 m

Step-by-step explanation:

To find the perimeter, we have to add the lengths of each part of the figure.

We start from the circle on top. We see that its diameter is 10 m, therefore its radius is

r = 5 m

(because the radius is half the diameter). The perimeter of a circle is given by

$p=2 \pi r$

However, here we have half a circle, so its perimeter is

$p_1 = \pi r=(3.14)(5)=15.7 m$

Then continuing in a clockwise direction, we have to add the length of the side of 2 m:

$p_2 = 2 m$

Then we have two sides of a square of side 5 m, so:

$p_3 = 5 m + 5 m= 10 m$

Then we have a quarter of a circle of radius r = 5 m, so its perimeter is:

$p_4 = \frac{\pi r}{2}=\frac{\pi (5)}{2}=7.85 m$

Finally, we have one more side of length 2 m:

$p_5 = 2m$

Therefore, the total perimeter is:

$p=p_1+p_2+p_3+p_4+p_5=15.7+2+10+7.85+2=37.55 m$

4 0

4 years ago

In a survey of 100 Phoenix high school students, 40 were

melomori [17]

Answer:

40 part-time male students were in the survey.

Step-by-step explanation:

Given:

Total number of students in the Phoenix high school = 100

Number of female student = 40

Number of male student who went to Phoenix Full time = 20 students

Total number of full time students = 50 students

To Find:

Number of part time male students in the survey = ?

Solution:

we know that the total number of students = 100

Now total number of male students = total number of students - total number of female student

Now total number of male students = 100 - 40 = 60 students

Now among these 60 students, 20 males went to Phoenix

Full time

So the remaining male students = 60-20 =40 students

Hence these 40 students are part-time male students

3 0

4 years ago

Solve 5m − 3h = 45 for h.

iren [92.7K]

5m-3h=45
/5 = /5
m-3h=9
-3 = -3
m+h=6
-m = -m
h=6-m

6 0

3 years ago

Write an equation for an ellipse centered at the origin, which has foci at (\pm\sqrt{8},0)(± 8 ,0)(, plus minus, square root o

Alchen [17]

Answer:

The equation of ellipse centered at the origin

$\frac{x^2}{18} +\frac{y^2}{10} =1$

Step-by-step explanation:

given the foci of ellipse (±√8,0) and c0-vertices are (0,±√10)

The foci are (-C,0) and (C ,0)

Given data (±√8,0)

the focus has x-coordinates so the focus is lie on x- axis.

The major axis also lie on x-axis

The minor axis lies on y-axis so c0-vertices are (0,±√10)

given focus C = ae = √8

Given co-vertices ( minor axis) (0,±b) = (0,±√10)

b= √10

The relation between the focus and semi major axes and semi minor axes are $c^2=a^2-b^2$

$a^{2} = c^{2} +b^{2}$

$a^{2} = (\sqrt{8} )^{2} +(\sqrt{10} )^{2}$

$a^{2} =18$

$a=\sqrt{18}$

The equation of ellipse formula

$\frac{x^2}{a^2} +\frac{y^2}{b^2} =1$

we know that $a=\sqrt{18} and b=\sqrt{10}$

Final answer:-

The equation of ellipse centered at the origin

$\frac{x^2}{18} +\frac{y^2}{10} =1$

8 0

3 years ago

Read 2 more answers