How can I find the missing values to complete the table? I am a bit confused.

Answers

Answer 1

Answer: To find the missing values, find the slope of the equations. Since both equations are linear, we know that the slope is linear. We can find the slope of the equations by using the equation for slope.

Slope for Y1:
m = (y2 - y1) / (x2 - x1) = (11 - 15) / (-3 - -5) = -4 / 2 = -2

Therefore, for Y1, you can subtract 2 from each previous answer to fill in the column. So underneath 15 would be 13, then 11, then 9, etc.

Slope for Y2:
m = (y2 - y1) / (x2 - x1) = (-12 - -15)) / (-4 - -5) = 3 / 1 = 3

Therefore, for Y2, you can add 3 from each previous answer to fill in the column. So underneath -15 would be -12, then -9, then -6, etc.

Related Questions

What polynomial identity should be used to prove that 16^2=(10+6)^2? (A. Difference of Cubes; B. Difference of Squares; C. Square of Binomial; D. Sum of Cubes)
If alpha and beta are the zeroes of the polynomial 6x2+x-2 find the value og alpha/beta + beta/alpha
in a bag of red and green sweets,the ratio of red sweets to green sweets is 3:4. if the bag contains 24 green sweets how many red sweets are there
Solve for xAx + B = C
I need help with this one I’m stuck on it.

48.6 is what percentage %? of 24.3 simplify

Answers

48.6 is 200% of 24.3

Divide:

48.6 / 24.3 = 2

Change to percentage:

2 × 100 = 200

It has doubled so 24.3 is 100%. 100%x2=200%. It is 200% of it.

What is the length of side s of the square shown below?

Answers

Answer:

3√2

Step-by-step explanation:

Pythagoras says s²+s²=6²

2s² = 36

s = √18 = √9·2 = √3²·2 = 3√2

Answer:

Step-by-step explanation:

The diagonal splits the square into 2 right triangles with hypotenuse 6

Using Pythagoras' identity in one of the right triangles.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

s² + s² = 6²

2s² = 36 ( divide both sides by 2 )

s² = 18 ( take the square root of both sides )

s = $√(18)$ = $√(9(2))$ = $√(9)$ × $√(2)$ = 3 $√(2)$ → C

If the diameter of a circle is 6 inches, how long is the arc subtended by an angle measuring 70°?

Answers

Answer:

Length of arc of a circle is given by:

$L = r \cdot \theta$ .....[1]

where

L is the length of an arc

r is the radius of the circle.

As per the statement:

Diameter of the circle(D) = 6 inches.

we know that:

D =2r

6 = 2r

Divide both sides by 2 we get;

3 = r

r = 3 inches

We have to find the long arc arc subtended by an angle measuring 70°.

Substitute the value of r = 3 inches and $\theta = 70^(\circ)$ in [1] we have;

$L =3 \cdot 70$

Simplify:

L = 210 inches

Therefore, 210 inches long is the arc subtended by an angle measuring 70 degree.

C = πD = π6in

Arc = D * 70°/360° = 3.1416*6*7/36=3.67 in

Given: x - 5 > -2. Choose the solution set.

{x | x R, x > -7}
{x | x R, x > -3}
{x | x R, x > 3}
{x | x R, x > 7}

Answers

first : x-5>-2
x-5+5>-2+5
x>3
{x l x R, x > 3}

{x | x R, x > -7} Is the answer

A pulley with a radius of 8 inches rotates three times every five seconds. Find the
angular velocity of the pulley in radians/sec (round to the nearest hundredth). Find the
linear velocity to the nearst ft/hr.

Answers

If the pulley rotates at a rate of 3 revolutions per second, then the period T of movement is $(1)/(3)s$

a) calculate the angular velocity:

$\omega=(2 \pi)/(T)\n \n \omega=(2 \pi)/((1)/(3))=6 \pi \ rad/s$

b) calculate the linear velocity:

$v=(2 \pi R)/(T)=(2 \pi.8)/((1)/(3))=24 \pi \ in/s \approx 75,36 \ in/s$

Remember: 1 in/s = 300 ft/h

So, 75,36 in/s = 22,608 ft/h

Equation 5d + 8 = 14 + 3d has o