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2 years ago

Hexagon DEFGHI is translated on the coordinate plane below to create hexagon D′E′F′G′H′I′:

Mathematics

1 answer:

dalvyx [7]2 years ago

7 0

Answer:

Step-by-step explanation:

it goes down by 9 and left by 3

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A rectangular box has the dimensions shown in the diagram. The volume of the box is given by the function V(x) = x3 – 4x, where

marta [7]

Answer:

$Height =3$

Step-by-step explanation:

Given

$Length = x + 2$

$Width = x - 2$

$Height = x$

$Volume = 15$

Required

Find the height

The volume is calculated as thus:

$Volume = Length * Width * Height$

This gives

$15 = (x + 2) * (x - 2) * x$

Apply difference of two squares

$15 =(x^2 - 4 ) * x$

$15 = x^3 - 4x$

Subtract 15 from both sides

$x^3 - 4x - 15 = 0$

Using a calculator to factorize, we have:

$(x-3)(x^2+3x+5) = 0$

Split

$x - 3 = 0$ or $x^2 + 3x + 5 = 0$

$x = 3$ or $x^2 + 3x + 5 = 0$

x has complex roots for $x^2 + 3x + 5 = 0$

Hence:

$x = 3$

Recall that:

$Height = x$

$Height =3$

3 0

2 years ago

A sequence of digits has the property that each pair of successive digits, taken in the order written, forms a decimal numeral r

alex41 [277]

Answer:

Concept: Mathematical Sequences

Let An be 99 a double digit multiple
The sequence is finite.
Finite= restricted and not bounded to positive infinity
By that logic the last possible digit is 999999999999999999999999999999999999999999999

7 0

2 years ago

At 1 pm, there were 16 seagulls on the beach. At 3 pm, there were 40 seagulls. What is the constant rate of change?

beks73 [17]

<span>The answer is (change of amount) / (change of time). For the change of amount, the numerator is 40 seagulls - 16 seagulls, leaving a total of 24 seagulls. For the change of time, the denominator is 3 pm - 1 pm, leaving a total of a 2 hour difference. The answer becomes 24 seagulls / 2 hours, or 12 seagulls per hour when simplified.</span>

4 0

2 years ago

Fernando has $50 in a savings account that earns 10% interest per year. The interest is not

DENIUS [597]

Answer: $5

Step-by-step explanation:

i = 50 x .10 x 1

i = 5

6 0

3 years ago

Which equation is satisfied by all of the plotted points?

Lubov Fominskaja [6]

A. y=2x
because slope-intercept form is y=mx+b. m= slope & b= y-int. The y-int is at the origin, so therefore y=0. The slope is 2, so therefore the answer is y=2x

8 0

3 years ago