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3 years ago

Why do I keep getting the answer: 35 11/16

Mathematics

1 answer:

Veronika [31]3 years ago

4 0

Answer:

see explanation

Step-by-step explanation:

The sum of the areas of the 2 rooms is

(1 $\frac{1}{4}$ )² + 6² ← change the mixed number to an improper fraction

= ( $\frac{5}{4}$ )² + 6²

= $\frac{25}{16}$ + 36

= 1 $\frac{9}{16}$ + 36

= 37 $\frac{9}{16}$

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Which transformation have been preformed on a graph of f(x)=x2 to obtained the graph of g(x) =-3(x+1)2-4?

avanturin [10]

Horizontal shift because g(x)=f(x+1) 1 unit left

Vertical shift because g(x)=f(x+1)-4 4 units down

Reflected across x-axis because g(x)=-f(x)

Vertically stretched because g(x)=3(f(x))

Step-by-step explanation:

We need to identify which transformation have been preformed on a graph of f(x)=x2 to obtained the graph of g(x) =-3(x+1)2-4?

Rules for transformation:

Horizontal shift: depends on the value h

if g(x)=f(x+h) then: the graph is shifted left h units

if g(x)=f(x-h) then: the graph is shifted right h units

Vertical Shift: depends on the value k

if g(x)=f(x)+k then: the graph is shifted up k units

if g(x)=f(x)-k then: the graph is shifted down k units

Reflection:

if g(x)=-f(x) then graph is reflected at x-axis

if g(x)=f(-x) then graph is reflected at y-axis

Vertical Stretch:

if g(x)=c.f(x) then graph is vertically stretched.

In the given question:

f(x)= x^2

g(x)=-3(x+1)^2-4

Applying the above rules of transformation:

The graph is:

Horizontal shift because g(x)=f(x+1) 1 unit left

Vertical shift because g(x)=f(x+1)-4 4 units down

Reflected across x-axis because g(x)=-f(x)

Vertically stretched because g(x)=3(f(x))

Keywords: Transformations

Learn more about Transformations at:

#learnwithBrainly

7 0

4 years ago

two circles are externally tangent to each other. One circle has a diameter of 62 yards and the distance between the centers of

maksim [4K]

Answer:

108 yards

Step-by-step explanation:

Let circle A be the circle with the 62 yard diameter

Let circle B be the circle whose diameter we are trying to solve for.

Externally tangent circles are circles which touch each other and share a common external tangent.
Circle A has a tangent of 62 yards and thus a radius ( half the diameter) of 31 yards.
The distance between the centers of the 2 circles is 85 yards. If you subtract the radius ( distance from the center of the circle to its circumference) of circle A then we'll only be left with the radius of circle B.
85 - 31= 54 yards which is the radius of circle B
To get the diameter: 54 x 2 = 108 yards

8 0

3 years ago

What is the first term of the geometric sequence whose fifth term is 1/24 and tenth term is 1/768

Neporo4naja [7]

An=a1r^(n-1)

given
a5=1/24
a10=1/768

we know that
a5=1/24=a1r^(5-1) and
a10=1/768=a1r^(10-1)

so
1/24=a1r^4
1/768=a1r^9

(a1r^9)/(a1r^4)=r^5=(1/768)/(1/24)=1/32

r^5=1/32
take 5th root of both sides
r=1/2

we have
a5=a1r^4=1/24
evaluate r^4 or (1/2)^4
1/16
a1(1/16)=1/24
times both sides by 16/1
a1=16/24
a1=2/3

the first term is 2/3

7 0

3 years ago

X2 - 12x + 32 = (x - 8)

LekaFEV [45]

Answer:
x=40/11 or 3 7/11

3 0

2 years ago

Read 2 more answers

A restaraunt has 1,600 milligrams and there’s gotta be 10 people how many grams do you need

natita [175]

You need 1.6 Grams. Hope this helped :P

8 0

3 years ago