All categories

2 years ago

The scale factor, k, is 2. How does the size of the image relate to the pre-image?

Mathematics

2 answers:

Doss [256]2 years ago

4 0

Answer:

it's d on edg

Step-by-step explanation:

solong [7]2 years ago

3 0

Given a scale factor of 2, it is easy to envision a small sized shape that has been enlarged or that has been made twice the size of the original shape.

The size of the resulting image with a scale factor of 2 is twice the size of the pre-image or the original image.

You might be interested in

The length of a rectangle is 3 cm longer than its width.

pochemuha

Answer:

108 cm²

Step-by-step explanation:

Area of a rectangle, A = length, l × width, w

Perimeter of a rectangle = (2 × length) + (2 × width)

42 cm = 2l + 2w

<em>but</em><em> </em>length = w + 3cm

42 cm = 2(w + 3cm) + 2w

42 cm = 2w + 6cm + 2w

42 cm = 6cm + 4w

4w = (42 - 6) cm

4w = 36 cm

》w = 9cm

》l = w + 3cm = 9cm + 3cm

l = 12 cm

Area = 12 × 9 = 108 cm²

7 0

2 years ago

Write the sum, and then write an equivalent expression by collecting like terms and removing parentheses whenever possible.

Yanka [14]

Answer:

The sum is $t$ .

Step-by-step explanation:

Consider the provided information.

The given expression are - 10t and t - 10t

We need to find the sum of the opposite of -10 t and t - 10t.

The opposite of -10 t is 10 t.

$10t+(t-10t)$

Remove the parenthesis.

$10t+t-10t$

Simplify the number

$10t-10t+t$

Use Additive inverse.

$t$

Hence, the sum is $t$ .

4 0

2 years ago

Simplify the expression below.

Mashutka [201]

Answer:

D. 10^10

Step-by-step explanation:

Multiplying numbers with exponents rule : $a^b*a^c=a^b^+^c$

explanation of rule : we simply keep the bases the same and add the exponents.

10^3 • 10^7

keep the base as 10 and add the exponents

$10^3 * 10^7 =10^3^+^7=10^1^0$

Keep in mind that this only works when the bases are the same.

7 0

2 years ago

Read 2 more answers

A family built a house and wanted to put down in their rectangular yard. The sod costs $0.32 per square foot plus 10 per square

sammy [17]

Answer:

The total cost of purchasing and laying sods in the rectangular yard is $2,146.67

Step-by-step explanation:

We are given the following in the question:

Dimensions of rectangular yard:

Length = 50 feet

Width = 30 feet

Area of rectangular yard =

$A = \text{Length}\times \text{Width}\\A = 50\times 30\\A = 1500\text{ square feet}$

Cost of sod = $0.32 per square foot

Total cost of sod =

$C_1 = \text{Unit cost of sod}\times \text{Area of yard}\\C_1 = 0.32\times 1500\\C_1 = 480\$$

Cost of laying sods = $10 per square yard

Total cost of laying sod =

$C_2 = \text{Unit cost of laying sod}\times \text{Area of yard}\\\\\text{1 square yard}=\dfrac{1}{9}\text{Square foot}\\\\C_2 = 10\times \dfrac{1500}{9}\\\\C_2 = 1666.67\$$

Total cost of purchasing and laying the sod =

$C = C_1 + C_2\\C = 480 +1666.67\\C = \$2,146.67$

Thus, the total cost of purchasing and laying sods in the rectangular yard is $2,146.67

3 0

2 years ago

p is a polynomial of degree 5. p has roots of multiplicity 2 at t=4 and t=0, a root of multiplicity 1 at t=-4, and p(1)=2025. Fi

DENIUS [597]

P(x) = (x^2)(x - 4)^2(x + 4) + some constant(b)
2025 = (1^2)(1 - 4)^2(1 + 4) + b
2025 = 45 + b
b = 1980

Complete Equation:

p(x) = (x^2)(x - 4)^2(x +4) + 1980

or expanded form

p(x) = x^5 - 4x^4 - 16x^3 + 64x^2 + 1980

5 0

2 years ago