Identify the like terms in the algebraic expression.

Want 39 points?/ simple question! check image!!!!!!!!

sp2606 [1]

this is an explanation!

hope.it helped

6 0

3 years ago

PLEASE HELP!! Being timed need help asap.

ivanzaharov [21]

If points D, E, F and G make a rectangle with the given coordinates for each point then the area of the rectangle is 150 sq. units

How to find distance between two points?

Distance between two points is the length of the line segment that connects the two points in a plane.

The formula to find the distance between the two points is usually given by D = √((x₂ – x₁)² + (y₂ – y₁)²)

This formula is used to find the distance between any two points on a coordinate plane or x-y plane.

According to the given question:

The four vertices are D(-1,-3), E(-9, -9), F(-18, 3) and G(-10, 9) check the attachment below.

Distance between two points D = √((x₂ – x₁)² + (y₂ – y₁)²)

Side DE = √((-9 – (-1))² + (-9 – (-3))²) = √100 = 10 units

Side EF = √((-18 – (-9))² + (3 – (-9))²) = √225 = 15 units

Side FG = √((-10 – (-18))² + (9 – 3)²) = √100 = 10 units

Side GD = √((-1 – (-10))² + (-3 – 9)²) = √225 = 15 units

∴ Area of rectangle = l x b = DE . EF

Area = 10 x 15 = 150 sq. units

Hence the area of rectangle with the given coordinates is 150 sq. units

To learn more about distance between two points visit

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6 0

1 year ago

If dy/dx = x(y-1), find the equation of the tangent line at x=-2 with f(-2)=3

Lapatulllka [165]

Answer:

The equation of the tangent line passing through the point (-2,3) is

4 x + y +5 =0

Step-by-step explanation:

Step(i):-

Given that the slope of the tangent

$m = \frac{dy}{dx} = x(y-1)$

m = -2( 3-1) = -4

Given point x = -2

y = f(-2) =3

∴The given point ( x₁ , y₁) = ( -2 ,3)

Step(ii):-

The equation of the tangent line passing through the point (-2,3)

$y - y_{1} = m(x-x_{1} )$

$y -3 = -4(x-(-2))$

y -3 = -4( x+2)

y-3 = -4x -8

4x + y -3+8=0

4x +y +5=0

Step(iii):-

The equation of the tangent line passing through the point (-2,3) is

4 x + y +5 =0

3 0

3 years ago

3) k(a)= a + 4; Find K(0) ; k(2x - 7)

Westkost [7]

Answer: k(0) = 4; k (2x - 7) = 2x -3

Step-by-step explanation:

If k(a) = a + 4

K(0) will be 0 + 4

K(0)= 4

Then, k (2x - 7) = 2x -7 +4

K (2x - 7) = 2x - 3

3 0

3 years ago

"Tongue Piercing May Speed Tooth Loss, Researchers Say" is the headline of an article. The article describes a study of 51 young

Paul [167]

Answer:

The 95% confidence interval for the proportion of young adults with pierced tongues who have receding gums is (0.24, 0.506).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

For this problem, we have that:

$n = 51, \pi = \frac{19}{51} = 0.373$

95% confidence level

So $\alpha = 0.05$ , z is the value of Z that has a pvalue of $1 - \frac{0.05}{2} = 0.975$ , so $Z = 1.96$ .

The lower limit of this interval is:

$\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.373 - 1.96\sqrt{\frac{0.373*0.627}{51}} = 0.24$

The upper limit of this interval is:

$\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.373 + 1.96\sqrt{\frac{0.373*0.627}{51}} = 0.506$

The 95% confidence interval for the proportion of young adults with pierced tongues who have receding gums is (0.24, 0.506).

3 0

4 years ago