Solve the equation and enter the value of x below. -1(4 + x) = 6

How many terms are in 2+4x+7y

likoan [24]

You Have To Move 2
4x+7y+2

4 0

3 years ago

25POINTS!!!

Anastasy [175]

i. Let t be the line tangent at point J. We know that a tangent line at a point on a circle, is perpendicular to the diameter comprising that certain point.

So t is perpendicular to JL

let l be the tangent line through L. Then l is perpendicular to JL

ii. So t and l are 2 different lines, both perpendicular to line JL.

2 lines perpendicular to a third line, are parallel to each other, so the tangents t and l are parallel to each other.

Remark. Draw a picture to check the steps

4 0

3 years ago

Read 2 more answers

I need help with this question. IT IS NOT MULTICHOICE. again, IT ISNT MULTICHOICE. (brainliest, 12 pts)

Rasek [7]

Answer:

Part A) The given enrollment numbers as a pair of points are (0,900) and (3,1,500)

Part B) The slope of the line is $m=200\ \frac{students}{year}$ (see the explanation)

Part C) $P=200t+900$

Part D) $P=2,500\ students$

Step-by-step explanation:

Part A) Write the given enrollment numbers as a pair of points in the form (t,P)

Let

t ----> the number of years since 2009 (independent variable or input value)

P ---->the high school's student enrollment (dependent variable or output value)

we know that

For t=0 (year 2009) ----> P=900 students

so

The first ordered pair is (0,900)

For t=2012-2009=3 years ----> P=1,500 students

so

The second ordered pair is (3,1,500)

therefore

The given enrollment numbers as a pair of points are (0,900) and (3,1,500)

Part B) Find the slope of the line passing though the pair of points

we know that

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

we have

(0,900) and (3,1,500)

substitute the values

$m=\frac{1,500-900}{3-0}$

$m=\frac{600}{3}$

$m=200\ \frac{students}{year}$

That means that the high school's student enrollment increase at rate of 200 students by year since 2009

Part C) Write an equation that relates the high school's student enrollment, P, to the number of years since 2009, t

we know that

The equation of a line in slope intercept form is equal to

$P=mt+b$

where

m is the slope

b is the P-intercept

In this problem we have

$m=200$

$b=900$ ---> represent the initial value ( value of P when the value of t is equal to zero)

substitute

$P=200t+900$

Part D) Predict the high school's enrollment in 2017

For t=2017-2009=8 years

substitute the value of t in the linear equation

$P=200(8)+900$

$P=2,500\ students$

3 0

3 years ago

F(x)=3x-1 and g(x)=x+2 find (f+g)(x)

DochEvi [55]

In this question, you're solving by adding the two expressions together.

(f+g)(x) is the same as:

3x - 1 + x + 2

Solve:

3x - 1 + x + 2

<em>combine like terms:</em>

4x - 1 + 2

4x + 1

Answer:

4x + 1

5 0

3 years ago

Residents of the town of Maple Grove who are connected to the municipal water supply are billed a fixed amount monthly plus a ch

Strike441 [17]

9514 1404 393

Answer:

$0.04 per cubic foot
c(w) = 0.04w +80
3400 cubic feet

Step-by-step explanation:

(a, b) We are given two pairs of values:

(w, c) = (1900, 156) and (2600, 184)

so we can write the equation of the relationship using the 2-point form of the equation of a line.

y = (y2 -y1)/(x2 -x1)(x -x1) +y1

c = (184 -156)/(2600 -1900)(w -1900) +156 . . . . . substitute given points

c = 28/700(w -1900) +156

c(w) = 0.04w +80

The charge per cubic foot is $0.04.

__

(c) For a bill of $216, the amount of water used is ...

216 = 0.04w +80

136 = 0.04w

3400 = w

Use of 3400 cubic feet of water would lead to a bill of $216.

4 0

3 years ago

Solve the equation and enter the value of x below. -1(4 + x) = 6​

Solve the equation and enter the value of x below. -1(4 + x) = 6