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2 years ago

Can someone help me quickly please

Mathematics

2 answers:

sergij07 [2.7K]2 years ago

5 0

We can use the slope formula to calculate the slope and then use point-slope form to compute the equation.

We are given two points in the line, and any two are sufficient to find the slope.

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

Given (-4, -6) and (2, 6):

(6 - (-6))/(2 - (-4)) = 12/6 = 2.

We can now plug in any point into point-slope form to calculate the line’s equation.

Slope: 2.
Point: (2, 6).

y - y1 = m(x - x1)

y - 6 = 2(x - 2)

Normally this would be sufficient as this IS a line. However, the question asks for y-intercept form. So let’s solve for y.

y - 6 = 2(x - 2)

y - 6 = 2x - 4

y = 2x + 2.

Hope this helps!

bazaltina [42]2 years ago

3 0

Answer:

The equation is $y=2x+2$

Step-by-step explanation:

The initial value or "b" is 2 and the slope is $\frac{2}{1}$ or just 2

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GARDEN Amanda is planting flowers in a rectangular garden. She wants to know the amount of space in her backyard the garden will

Andrew [12]

The function A(x) = 2x²-3x-2 represents the area of the garden.

Step-by-step explanation:

Given,

Length of rectangular garden is given by;

L(x) = 2x+1

Width of rectangular garden is given by;

W(x) = x-2

Area of rectangular garden;

A(x) = L(x) * W(x)

$A(x) = (2x+1)(x-2)\\A(x) = 2x(x-2)+1(x-2)\\A(x) =2x^2-4x+x-2\\A(x) = 2x^2-3x-2$

The function A(x) = 2x²-3x-2 represents the area of the garden.

Keywords: Area, rectangle

Learn more about area at:

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6 0

2 years ago

I’m the triangle shown below what is the approximate value of x

Dafna1 [17]

Answer:

The answer is choice B: 22.52 units.

Step-by-step explanation:

We use the Pythagoras's theorem which says for a right triangle with sides $x,y$ and hypotenuse $z$ :

$x^2+y^2=z^2.$

In our case

$z=26$

$y=13$

So we solve for $x:$

$x=\sqrt{z^2-y^2}=\sqrt{26^2-13^2} =\boxed{22.52\: units.}$

Which is choice B.

8 0

3 years ago

The probability distribution of the amount of memory X (GB) in a purchased flash drive is given below. x 1 2 4 8 16 p(x) .05 .10

Rama09 [41]

Answer:

a) $E(X) = 6.45$

b) $E(X^{2} )= 57.25$

c) $V(X) = 15.648$

d) E(3X + 2) = 21.35

e) $E(3X^{2} +2) = 173.75$

f) V(3X+2) = 140.832

g) E(X+1) = 7.45

h) V(X+1) = 15.648

Step-by-step explanation:

a) $E(X) = \sum xP(x)$

$E(X) = (1*0.05) + (2*0.10) + (4*0.35) + (8*0.40) + (16*0.10)\\E(X) = 6.45$

$E(X^{2} ) = (1^{2} *0.05) + (2^{2} *0.10) + (4^{2} *0.35) + (8^{2} *0.40) + (16^{2} *0.10)\\ E(X^{2} )= 57.25$

$V(X) = E(X^{2} ) - (E(X))^{2} \\V(X) = 57.25 - 6.45^{2} \\V(X) = 15.648$

$E(3X+2) = 3E(X) + 2\\E(3X+2) = (3*6.45) + 2 \\E(3X+2) = 21.35$

$E(3X^{2} +2) = 3E(X^{2} ) + 2\\E(3X^{2} +2) = (3*57.25) + 2 \\E(3X^{2} +2) = 173.75$

$V(3X+2) = 3^{2} V(X)\\V(3X+2) = 9*15.648\\V(3X+2) = 140.832$

$E(X+1) = E(X) + 1\\E(X+1) = 6.45 + 1\\E(X+1) =7.45$

$V(X+1) = 1^{2} V(X)\\V(X+1) = 15.648$

6 0

3 years ago

2x – 3y = -5

vampirchik [111]

Answer:

y = 3

Step-by-step explanation:

2x-3y = -5 --------- (1)

y = 2+x ------- (2)

substitute (2) into (1)

2x-3y = -5

2x-3( 2+x ) = -5

2x-6-x = -5

2x-x = -5+6

x = 1

substitute x = 1 into (2)

y = 2+x

y = 2+1

y = 3

4 0

2 years ago

I need help please.

Greeley [361]

Answer is C).

One way to find the answer is to multiply the $54 by .30 (which is 30%converted to a decimal). Doing this will give you what 30% of $54 is.
This gives you 16.2
Since the question is asking what 30% off the price is, subtract the 16.2 from the $54.

5 0

3 years ago