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2 years ago

Let g(x) = 2x and h(x) = x2 + 4. Evaluate (h ∘ g)(−5).

Mathematics

1 answer:

Zolol [24]2 years ago

6 0

Hi! the answer should be 104

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Formula: h(g(x))

1) First you want to take the -5 and plug that into the given equation for g(x)

• 2(-5)= -10

2) Next you want to take the -10 and plug it into the equation for h(x)

• (-10)²+4= 104

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A 52 foot ladder is set against the side of the house so that it reaches up 48 feet .if jevonte grabs the ladder at its base and

Vesnalui [34]

Answer:

Step-by-step explanation:

The way to approach this that makes the most sense to a student would be to find out how far from the house the ladder currently is, then add 3 feet to that and do the problem all over again. This is right triangle stuff...Pythagorean's Theorem in particular. The ladder is the hypotenuse, 52 feet long. The height of the rectangle is the distance the ladder is up the side o the house, 48 feet. We plug those into Pythagorean's Theorem and solve for the distance the ladder is from the house:

$52^2=48^2+x^2$ and

$2704=2304+x^2$ and

$x^2=400$ so

x = 20. Now if we add the 3 feet that the ladder was pulled away from house, the distance from the base of the ladder to the house is 23 feet, the ladder is still 52 feet long, but what's different is the height of the ladder up the side of the house, our new x:

$52^2=23^2+x^2$ and

$2704=529+x^2$ and

$2175=x^2$ so

x = 46.6 feet

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2 years ago

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Liono4ka [1.6K]

Answer:

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2 years ago

Which property can be justified using the ratios in triangle XYZ

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2 years ago

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Solve the following 3 × 3 system. Enter the coordinates of the solution below.

defon

9514 1404 393

Answer:

(x, y, z) = (-1, 0, -3)

Step-by-step explanation:

We notice that the coefficients of z are such that elimination of the z term from the equations is made easy.

Adding equations 1 and 2:

(2x -3y -2z) +(x +3y +2z) = (4) +(-7)

3x = -3

x = -1

Adding equations 2 and 3:

(x +3y +2z) +(-4x -4y -2z) = (-7) +(10)

-3x -y = 3

Substituting for x, we get ...

(-3)(-1) -y = 3

0 = y . . . . . . . . . . . add y-3 to both sides

Then z can be found from any equation. Substituting for x and y in the second equation gives ...

-1 +2z = -7

2z = -6 . . . . . add 1

z = -3 . . . . . .divide by 2

The solution is (x, y, z) = (-1, 0, -3).

3 0

3 years ago

PLEASE ANSWER THIS FAST Will the red square and the orange square always equal the blue square? What colored square is the hypot

Vikentia [17]

Step-by-step explanation:

The area of the blue square will always equal the sum of the area of the orange and red rectangles

The pythagorian theorem:

a²+b² = c²

now let a be the side of the red triangle and b the side of the orange one

so a² is the area of the red triangle and b² is the area of the orange one

Let c be the side of the blue rectangle

so c² is the area of it

then what we concluded is right

the hypotenuse is the blue side since it is the larger one

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2 years ago