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marissa [1.9K]
4 years ago
13

1. Line L mapped onto line M by a dilation centered

Mathematics
1 answer:
Nonamiya [84]4 years ago
6 0

Answer:

y = 4x - 6

Step-by-step explanation:

The equation of line L is

4x - y = 2

We solve for y to get;

y = 4x - 2

This line is mapped onto line M by a dilation centered at the origin with a scale factor of 3.

Line M will also have the same slope as line L.

Only the y-intercept will change.

The y-intercept of L is (0,-2).

The y-intercept of M will be (0,-6) because we multiplied each by 3.

The equation of line M is

y = 4x - 6

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Hola me podrían ayudar por favor Convertir las fracciones a números decimales y colocar los decimales en la recta numérica: a. 2
Mila [183]

Answer:

a. 2/3 = 0.67

b. 8/5 = 1.6

c. -5/2 = -2.5

d. 7/4 = 1.75

e. 9/2 = 4.5

f. -11/3 = -3.67

g. 13/5 = 2.6

h. -7/4 = -1.75

Step-by-step explanation:

Convirtiendo las fracciones dadas a decimales, tenemos:

a. 2/3 = 0.67

b. 8/5 = 1.6

c. -5/2 = -2.5

d. 7/4 = 1.75

e. 9/2 = 4.5

f. -11/3 = -3.67

g. 13/5 = 2.6

h. -7/4 = -1.75

6 0
3 years ago
Need Explanation For This Asap! &lt;3<br> 528 cm2<br> 538 cm2 <br> 558 cm2
blsea [12.9K]

Answer:

528 cm²

Step-by-step explanation:

The surface area of this prism comprises:

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  • 2 congruent rectangles (rectangle 1 and 2) - since the triangle has 2 sides of equal length
  • 1 rectangle (rectangle 3)

Area of a triangle = 1/2 × base × height

                             = 1/2 × 16 × 6

                             = 48 cm²

Area of rectangle 1 / 2 = width × length

                                     = 10 × 12

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Area of rectangle 3 = width × length

                                = 16 × 12

                                = 192 cm²

Total Surface Area = 2 triangles + 2 rectangles + rectangle 3

                                = (2 × 48) + (2 × 120) + 192

                                = 96 + 240 + 192

                                = 528 cm²

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2 years ago
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Answer:

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Step-by-step explanation:

Recall the form of the difference of squares.

x^2 - y^2 = (x+y)(x-y)\\\\\\

Now let's apply it to your numbers:

85^2 - 15^2 = (85 + 15)(85 - 15)

Simplify:

(100)(70) = 7000

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jeka94

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