In the equation 2x - y = 4, the x-intercept is 2 and the y-intercept is -4.

Answers

Answer 1

Answer: Graph c best represents that statement

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What are the coordinates of the vertex for f(x) = x2 + 4x + 10? (1 point) (−2, 2) (2, 2) (−2, 6) (2, 6)

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You have to complete the square to get it into vertex form. Do this by setting the function equal to zero and at the same time moving the constant over to the other side of the equals sign so you have this: . Now we can complete the square on the polynomial by taking half the linear term, squaring it, and adding it to both sides. Our linear term is 4. Half of 4 is 2, and 2 squared is 4, so we add 4 to both sides: and simplify to get . In this process we have created a perfect square binomial on the left, which happens to be . Now move the -6 back over by addition to get . The vertex is found at (-2, 6), the third choice down.

Answer:

A or C

Step-by-step explanation:

x = x2 + 4x + 10

x = 6x + 10

-5x = 10

x = -2

Pls helppppp 25 pt and brainiest for whoever answers it right. Find the longest side of a parallelogram with a perimeter of 66ft., If the sides measure 3x + 1 and 2x - 3.

Answers

Given:-

Perimeter of parallelogram = 66 ft

One side,a = 3x + 1

Other side,b = 2x - 3

Tofindout:-

Find the longest side of a parallelogram.

Formulaused:-

Perimeter of parallelogram = 2 ( a + b )

Solution:-

We know that,

Perimeter of parallelogram = 2 ( a + b )

★ Substituting the values in the above formula,we get:

⇒ 66 = 2 ( 3x + 1 + 2x - 3 )

⇒ 66 = 2 ( 5x - 2 )

⇒ 66/2 = 5x - 2

⇒ 33 = 5x - 2

⇒ 5x - 2 = 33

⇒ 5x = 33 + 2

⇒ 5x = 35

⇒ x = 35/5

⇒ x = 7 ft

Now,

One side,a = 3x + 1

★ Putting the value of x

⇒ 3 × 7 + 1

⇒ 21 + 1

⇒ 22 ft

Other side,b = 2x - 3

★ Putting the value of x

⇒ 2 × 7 - 3

⇒ 14 - 3

⇒ 11 ft

Hence,thelongestSideofgivenparallelogramis22ft(3x+1).

Help on logarithmic equation

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Answer and workings in the attachment below.

Find x pleaseeeee help

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Answer:

x=4

Step-by-step explanation:

Answer:

x = 4

Step-by-step explanation:

Its been awhile since I have done geometry but I believe its correct:

1) 4(4) + 8 = 24

2) Since it is an equilateral triangle all sides are equal.

A moving company had one seven of a ton of a weight to move across town. If they wanted to split it equally amongst 8 trip,how much weight they have on each trip?

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so 1/7 divided by 8

equals to 1/ 56 tons per trip

A ten foot long ladder leans against a wall, with the top of the ladder being eight feet above the ground. What is the approximate angle that the ladder makes with the ground?

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Answer:

The angle that the ladder made with the ground = 53.13010235°

Step-by-step explanation:

The ladder has a length of 10 ft and it leaned against a wall to form a right angle triangle. The height from the top of the ladder to the ground is given as 8 ft. The triangle formed from the illustration can be represented with the picture below.

The angle A is the angle the ladder made with the ground.

Length of ladder = c

height from the top of the ladder to the ground = a

The distance of the foot of the ladder and the wall = b

c = 10 ft

a = 8 ft

Using SOHCAHTOA

sin A = a/c

sin A = 8/10

sin A = 0.8

A = sin-1 0.8

A = 53.13010235°

so we got hypotenuse and opposite side so to find the angle we use the trig function
sin = opposite/hypotenuse
¢=angle
sin¢=8/10
sin¢= 0.8

arcsin¢=arcsin(0.8)
¢= 53.13 degrees