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3 years ago

6

In a scale drawing of an apartment 1 centimet represents 2 3/4 feet. If the length of the kitchen is 4 1/2cm on the scale drawin

g, what is the actual length in feet, of the kitchen?

1 answer:

weeeeeb [17]3 years ago

3 0

Answer:

12 3/8 feet

Step-by-step explanation:

Because 4 1/2 times 2 3/4 equals 99/8, then 99 divided by 8 equals 12 3/8.

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Create a graph showing the equations y=1/4x and y=1/4x-5. Explain how the graphs are the same and how their different

Eduardwww [97]

Answer:{y=1/4x-5 [-10, 10, -5, 5]}

Step-by-step explanation:

The

−

5

part says that the

y

-intercept of this line is

−

5

. The

y

-intercept is the point at which a line crosses the

y

axis. Therefore,

x

is always

0

for the

y

intercept.

The

1

4

x

is implying that the slope or the gradient (same thing) of this line is

1

4

. Therefore,

R

i

s

e

R

u

n

=

1

4

.

R

i

s

e

R

u

n

can be expanded to

y

2

−

y

1

x

2

−

x

1

.

Since we already know that the point

{

0

,

−

5

}

lies on this line, let's substitute

x

2

for

0

and

y

2

for

−

5

.

−

5

−

y

1

0

−

x

1

=

1

4

Now, if you choose a point for

x

1

, you can simply work out

y

1

. For example, let's say I chose

4

.

−

5

−

y

1

0

−

4

=

1

4

=

−

5

−

y

1

−

4

=

1

4

Now, what makes

1

4

when divided by

−

4

? The answer is

−

1

.

Therefore, we need

−

1

on the numerator. We already have

−

5

, and

y

1

is negative, so the number

−

4

fits. So the coordinates for the 2nd point is

{

4

,

−

4

}

−

5

−

−

4

−

4

=

1

4

=

−

1

−

4

=

1

4

Now, with the points we have,

{

0

,

−

5

}

and

{

4

,

−

4

}

, we can graph this by plotting the points and joining them.

You should get this graph{y=1/4x-5 [-10, 10, -5, 5]}

7 0

3 years ago

I need help plzzzzzzzzzzz

Inessa [10]

Answer:

D. infinite

Step-by-step explanation:

4 0

3 years ago

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Heidi solved the equation 3(x + 4) + 2 = 2 + 5(x – 4). Her steps are below: 3x + 12 + 2 = 2 + 5x – 20 3x + 14 = 5x – 18 14 = 2x

saveliy_v [14]

step 1: distributive property.

step 2: combine like terms.

step 3: subtraction property of equality.

step 4: addition property of equality.

step 5: division property of equality.

hope this helps.

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3 years ago

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How do I evaluate log 1/32?

stira [4]

On a graphing calculator, hit Math, Alpha, Math. Then input your logarithmic function. Hope this helped! Good luck :)

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3 years ago

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The vertices of a parallelogram are A(x1, y1), B(x2, y2), C(x3, y3), and D(x4, y4). Which of the following must be true if paral

Iteru [2.4K]

The answer is really none of the above, because all of these have divisions by difference in x, and there are perfectly fine rectangles where those will mean dividing by zero.

To do the problem the way they want us to, we note segments with the same slope are parallel (or collinear); segments with slopes which multiply to -1 are perpendicular.

Let's figure out what each choice is trying to tell us by translating it into parallel and perpendicular. Remember A is point 1, ...

A. ((y_4-y_3)/(x_4-x_3)= (y_3-y_2)/(x_3-x_2)) and ((y_4-y_3)/(x_4-x_3)×(y_3-y_2)/(x_3-x_2))=-1

translated, that's CD║BC and CD⊥BC - contradictory; second half right

B. (y_4-y_3)/(x_4-x_3)= (y_2-y_1)/(x_2-x_1) and ((y_4-y_3)/(x_4-x_3)×(y_2-y_1)/(x_2-x_1))=-1

CD ║ AB and CD ⊥ AB - only the parallelogram half is right

C. (y_4-y_3)/(x_4-x_3)= (y_2-y_1)/(x_2-x_1) and (y_4-y_3)/(x_4-x_3)×(y_3-y_2)/(x_3-x_2)=-1

CD║AB and CD⊥BC - that's TRUE

D. (y_4-y_3)/(x_4-x_3)= (y_3-y_1)/(x_3-x_1) and (y_4-y_3)/(x_4-x_3)×(y_2-y_1)/(x_2-x_1)=-1

CD║AC and CD⊥AB - nope

Answer: C

The way I'd get the proper expression is with the dot product.

A parallelogram is a rectangle when adjacent sides are perpendicular. It only takes one right angle to make them all right.

Two sides are perpendicular when the dot product of their direction vectors is zero. All the answers have $y_4 - y_3$ so one side is CD. The other side must be BC or AD; AD would give $y_4 - y_1$ terms which don't appear among the answer, so let's go with BC.

The direction vectors are

$D-C = (x_4 - x_3, y_4 - y_3)$

$C-B = (x_3 - x_2, y_3 - y_2)$

For perpendicularity we need a zero dot product:

$0 = (D-C)\cdot(C-B) = (x_4 - x_3)(x_3 - x_2) + (y_4 - y_3)(y_3 - y_2)$

$- (x_4 - x_3)(x_3 - x_2) = (y_4 - y_3)(y_3 - y_2)$

That's the correct expression, given it's a parallelogram, to demonstrate it's a rectangle. The divisions make it iffy.

8 0

3 years ago