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3 years ago

Dilations PLEASE HELP ME PLEASE

Mathematics

1 answer:

AURORKA [14]3 years ago

6 0

Answer:

D' (6, - 6 )

Step-by-step explanation:

Assuming the dilatation is centred at the origin then multiply the coordinates of D by 3, that is

D (2, - 2 ) → D'(3 × 2, 3 × - 2 ) → D' (6, - 6 )

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At most jasmine can spend $45 on bread and ham to make sandwiches. She already bought the loaves of bread for $13 and will buy h

Andrews [41]

Answer:

45-13= 32

32/8= 4

she can buy 4 lbs ham

Step-by-step explanation:

4 0

3 years ago

The vertices of a square CDEF are C(1,1), D(3,1), E(3,-1) and F(1,-1). What formulas prove that the diagonals are congruent perp

Oxana [17]

To prove that the diagonals are congruent, you need to formula to compute the distance between two points:

$d(A,B) = \sqrt{(A_x-B_x)^2 + (A_y-B_y)^2}$

Using that formula, you may prove that $d(C,E) = d(D,F)$ , which means that the two diagonals have the same length.

To prove that they are perpendicular, you need the formula to compute the slope of a segment. The slope, knowing the enpoints, is given by

$m = \cfrac{\Delta y}{\Delta x} = \cfrac{A_y-B_y}{A_x-B_x}$

You can use this formula to prove that

$m_{CE} = -\cfrac{1}{m_{DF}}$

In fact, if one slope is the opposite of the reciprocal of the other, the two segments are perpendicular.

Finally, to prove that they bisect each other, you first need to find the point where they meet. First of all, you need to find the line the segments lie on: the formula is

$y-y_0 = m(x-x_0)$

where $(x_0,y_0)$ is one of the points belonging to the line, and you already know how to find the slope. Then, you find the point of intersection, say A, by solving the system involving the two lines:

$\begin{cases} y= m_{CE}x+q_{CE}\\ y = m_{DF}x+q_{DF} \end{cases}$

And use again the formula for the distance between two points to prove that

$d(A,C) = d(A,D) = d(A,E) = d(A,F)$

4 0

3 years ago

Find the image of (-7,-3) reflected across the x-axis

Korvikt [17]

IF USING GEOMETRY...

x-axis = (x, -y)

Because the x does not have a negative sign the number DOES NOT change to its opposite form, but because the y has a negative sign the number DOES changes to its opposite form (from negative number to positive.)

So... if we use the formula of x-axis, which is (x, -y), the coordinates (-7,-3) would change to (-7, 3)

ANSWER (-7, 3)

3 0

3 years ago

Whats -3u + 5 if u=2

ivann1987 [24]

Answer:

-1

Step-by-step explanation:

-3(2) = -6 + 5 = -1

4 0

2 years ago

Read 2 more answers

Help my grade depends on it

Veseljchak [2.6K]

Lily made $75.36 more than Layla did. If Layla raised her price to $1.00, she would still not make more money than Lily.

Use a proportion to find the number of cupcakes Lily makes in 8 hours. She bakes 7 cupcakes in 10 minutes; we want to know how many she makes in 8(60)=480 (since there are 8 hours and each hour is 60 minutes):

7/10 = x/480

Cross multiply:
7*480 = 10*x
3360 = 10x

Divide both sides by 10:
3360/10 = 10x/10
336 = x

Lily bakes 336 cupcakes.

She sells 2/3 of these; 2/3(336) = 2/3(336/1) = 672/3 = 224 cupcakes sold.

Each cupcake is sold for $1.29; 224(1.29) = 288.96

To find the number of cupcakes Layla makes in 8 hours, we set up a different proportion. We know she bakes 8 cupcakes in 12 minutes; we want to know how many she bakes in 8(60) = 480 minutes:

8/12 = x/480
8*480 = 12*x
3840 = 12x

Divide both sides by 12:
3840/12 = 12x/12
320 = x

She bakes 320 cupcakes. She sells 75% of those; 75% = 75/100 = 0.75:
0.75(320) = 240

Each of those 240 cupcakes sells for $0.89:
0.89(240) = 213.60

This means Lily makes 288.96-213.60 = 75.36 more than Layla.

If Layla raised her price to $1.00, she would make 1(240) = $240; this is still less than Lily.

6 0

4 years ago