All categories

2 years ago

Complete table of values with working out

Mathematics

1 answer:

mrs_skeptik [129]2 years ago

3 0

Assume an x-value, substitute it in the equation where you find "x" and solve to find y

x = 0
y = -18

x = 1
y = -14

x = 2
y = -8

x = 3
y = 0

x = 4
y = 10

You might be interested in

What is the midpoint of 0 1000

ruslelena [56]

I think it might be 500

hope this helped =3

5 0

2 years ago

Read 2 more answers

Determine the angles made by the vector v = (67)i + (-15)j with the positive x- and y-axes. write the unit vector n in the direc

vivado [14]

Consider the picture attached.

From right triangle trigonometry:

tan(α)=(opposite side)/(adjacent side)=15/67=0.2239

using a scientific calculator we find that arctan(0.2239)=12.62°

thus α=12.62°, is the angle that the vector makes with the positive x-axis.

The angle made with the + y-axis is 12.62°+90°=102.62°.

The length of the vector v can be determined using the Pythagorean theorem:

$|v|= \sqrt{ 67^{2} + 15^{2} }= \sqrt{4489+225}= \sqrt{4714}=68.8$

Thus, to make v a unit vector, without changing its direction, we need to divide v by |v|=68.8.

This means that the x and y components will also be divided by 68.8, by proportionality.

So, the unit vector in the direction of v is:

<span>(67/68.8)i + (-15/68.8)j=0.97 i + (- 0.22)j
</span>

Answer: 12.62°; 102.62°; 0.97 i + (- 0.22)j

6 0

2 years ago

Find The value of x, y and z

Ratling [72]

Answer:

x = 18 ; y = 10 ; z = 102°

Step-by-step explanation:

The triangle in the pic is an isosceles triangle.

As it is an isosceles triangle , it's two sides will be equal .

$= > 3x - 42 = 12$

$= > 3x = 42 + 12 = 54$

$= > x = \frac{54}{3} = 18$

Also, both the base angles will be equal.

$4y - 1 = 39$

$= > 4y = 39 + 1 = 40$

$= > y = \frac{40}{4} = 10$

According to angle sum property of a triangle , sum of measure of all the angles of a triangle is equal to 180°. So,

$z + 39 + 39 = 180$

$= > z + 78 = 180$

$= > z = 180 - 78 = 102$

5 0

2 years ago

Express the terms of the following geometric sequence recursively.

BabaBlast [244]

Answer:

The most correct option for the recursive expression of the geometric sequence is;

4. t₁ = 7 and tₙ = 2·tₙ₋₁, for n > 2

Step-by-step explanation:

The general form for the nth term of a geometric sequence, aₙ is given as follows;

aₙ = a₁·r⁽ⁿ⁻¹⁾

Where;

a₁ = The first term

r = The common ratio

n = The number of terms

The given geometric sequence is 7, 14, 28, 56, 112

The common ratio, r = 14/7 = 25/14 = 56/58 = 112/56 = 2

r = 2

Let, 't₁', represent the first term of the geometric sequence

Therefore, the nth term of the geometric sequence is presented as follows;

tₙ = t₁·r⁽ⁿ⁻¹⁾ = t₁·2⁽ⁿ⁻¹⁾

tₙ = t₁·2⁽ⁿ⁻¹⁾ = 2·t₁2⁽ⁿ⁻²⁾ = 2·tₙ₋₁

∴ tₙ = 2·tₙ₋₁, for n ≥ 2

Therefore, we have;

t₁ = 7 and tₙ = 2·tₙ₋₁, for n ≥ 2.

4 0

3 years ago

Each one of four pies were cut into 8 pieces for dinner. After dinner there remained 1/2 of a pie, o pie, 3/8 of a pie and 5/$of

Marizza181 [45]

Answer: What you would have left is 12 pieces of pie

Step-by-step explanation: As stated in the question, one pie has been sliced into 8 pieces, and there are three pies in all. That means we had at the beginning 3 x 8 slices of pie which equals 24 pieces.

Also if each pie had been sliced into 8 pieces then each can be represented as 8/8. Therefore eating one slice would leave you with 7/8 (that is 8/8 minus 1/8).

So, each of the three pies now have the following left overs;

1/2, 3/8 and 5/8.

Adding them all together would give,

1/2 + 3/8 + 5/8

Using 8 as the common denominator

4/8 + 3/8 + 5/8

(4 + 3 + 5)/8

12/8.

Therefore, there would be 12 pieces left altogether, which can also be expressed as one pie and 4 pieces.

8 0

2 years ago