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zheka24 [161]
2 years ago
15

A model of a 39 foot tall building was made by using the scale 1 in : 4.5 feet. What is the height of the model? Round your answ

er to the nearest tenth
Mathematics
1 answer:
Gnom [1K]2 years ago
7 0
1 / 4.5 = x / 39....1 inch to 4.5 ft = x inches to 39 ft
cross multiply
(4.5)(x) = (1)(39)
4.5x = 39
x = 39 / 4.5
x = 8.7 inches <==

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Look at these sets of ordered pairs.
laila [671]

Answer:

It's D.

Step-by-step explanation:

There are no repetitions of the x values in the ordered pairs so they are all functions.

8 0
3 years ago
1-69.
timofeeve [1]

The question above was not written properly

Complete Question

Lacey and Haley are rewriting expressions in an equivalent, simpler form.

a. Haley simplified x³⋅ x² and got

x⁵

Lacey simplified x³ + x² and got the same result! However, their teacher told them that only one simplification is correct. Who simplified correctly and how do you know?

b. Haley simplifies 3⁵⋅ 4⁵ and gets the result 12^10, but Lacey is not sure.

Is Haley correct? Be sure to justify your answer.

Answer:

a) Haley is correct, Lacey simplified wrongly.

b) Haley is incorrect

Step-by-step explanation:

a. Haley simplified x³⋅ x² and got

x⁵

Lacey simplified x³ + x² and got the same result! However, their teacher told them that only one simplification is correct. Who simplified correctly and how do you know?

For Question a, when it comes to simplifying algebraic expression that has to do with powers, there are certain rules that should be followed.

For example

x^a × x^b = x^(a + b)

For Haley, she simplified x³⋅ x² and got

x⁵

She is correct because this follows the product rule of powers or exponents above

= x³⋅ x² = x³+² = x⁵

For Lacey she is wrong because:

x³ + x² ≠ x⁵

x³ + x² when simplified as quadratic equation = x²(x + 1)

b. Haley simplifies 3⁵⋅ 4⁵ and gets the result 12^10, but Lacey is not sure.

Is Haley correct? Be sure to justify your answer.

For question b, when we have two distinct or different numbers with the same power(exponents) the rule states that:

x^a × y^a = (x × y)^a = (xy)^a

Haley is simplified wrongly. She did not apply the rule above

Haley simplified 3⁵⋅ 4⁵ = (3 × 4) ⁵+⁵

= 12^10, this is wrong.

The correct answer according to the rule =

3⁵⋅ 4⁵ = (3 × 4) ⁵ = 12⁵

Therefore,

3⁵⋅ 4⁵ ≠ 12^10

3⁵⋅ 4⁵ = 12⁵

Haley is wrong.

3 0
3 years ago
Please answer this question I need it i. Vertex and standard form.
Brums [2.3K]

Equation :

This parabola is facing downwards and highest point of the parabola is it's vertex.

Highest point is (-2,2)

so the vertex is (-2,2)

The graph is passing through (-1,0)

Equation in vertex form is

y = a(x - h) {}^{2}  + k

0 = a( - 1 + 2) {}^{2}  + 2 \\ 0 =a (1) {}^{2}  +2 \\  0 = a + 2 \\ a =  - 2

Substitute back in Equation

y =  - 2(x  + 2) {}^{2}  + 2

the graph has two x intercepts -1 and -3

that means (x+1) and (x+3) are the factors

multiply factors to get the equation in standard form

-2(x + 1)(x + 3) = 0 \\ -2(x {}^{2}  + x + 3x + 3) = 0 \\  -2( x {}^{2}  + 4x + 3) = 0

-2x^2-8x-6=0

4 0
2 years ago
Help me please thank you​
lilavasa [31]

Answer:

22 m^2

Step-by-step explanation:

The area of the bottom rectangle is A = l*w

The length is 8 and width is 2

A = 8*2 =16

The area of the top rectangle is A = l*w

The length is 3 and width is 2

A = 3*2 =6

Adding the areas together

A = 16+6 = 22

3 0
3 years ago
Can I have help I am stuck on this problem It would mean the world if u helped me and tysm!! =-)
Yuki888 [10]

Answer:

656.3844

Step-by-step explanation:

Area of squares = s^{2}

<em>s = measure of a side, all sides are the same. </em>

<em />25.62^{2}<em> use a calculator </em>

<em />

3 0
2 years ago
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