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almond37 [142]
3 years ago
9

The perimeter of a triangle is 30 units. If it is dilated with respect to origin by a scale factor of 0.5, what is the perimeter

of the resulting triangle?
Mathematics
1 answer:
il63 [147K]3 years ago
6 0
<span>Choices: 30 units ; 20 units ; 15 units ;  7.5 units

Given:
perimeter = 30 units
scale factor = 0.5

30 units * 0.50 = 15 units

The perimeter of the resulting triangle is 15 units.</span>
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sleet_krkn [62]

Answer:

Option B is the correct answer

Step-by-step explanation:

Hope it helps you in your learning process.

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6 0
1 year ago
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Complete the equations so that the solution of the system of equations is (−1, −4). y= ?X−11 6x− ? Y=10
eimsori [14]

Answer:

y = –7x – 11

6x – 4y = 10

Step-by-step explanation:

From the question given above, we obtained:

x = –1

y = –4

y = ?x – 11 ....... (1)

6x – ?y = 10b......... (2)

Let the two unknown be a and b. Thus the above equation becomes:

y = ax – 11 ......... (3)

6x – by = 10 .......(4)

Next, we shall determine the value of 'a' and 'b'. This can be obtained as follow:

For a:

y = ax – 11

x = –1

y = –4

–4 = a(–1) – 11

–4 = –a – 11

Collect like terms

–4 + 11 = –a

7 = –a

Multiply through by –1

a = –7

For b:

6x – by = 10

x = –1

y = –4

6(–1) – b(–4) = 10

–6 + 4b = 10

Collect like terms

4b = 10 + 6

4b = 16

Divide both side by 4

b = 16 / 4

b = 4

Finally, we shall substitute the value of a and be into equation 3 and 4 respectively.

y = ax – 11

a = –7

y = –7x – 11

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b = 4

6x – 4y = 10

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y = –7x – 11

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8 0
2 years ago
What do you add to 4 1/9 to make 6?
Tema [17]

Answer:

1 8/9

Step-by-step explanation:

4 1/9 + 1 8/9=6 ........

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2 years ago
A car travels along a hill inclined 12º with the horizontal for a distance of 1200 feet. What is the horizontal distance travele
ANTONII [103]

Answer:

the horizontal distance traveled by the car during this time is 812

Step-by-step explanation:

7 0
3 years ago
Factor completely x^8- 16.
Nataly_w [17]

Answer:

Step-by-step explanation:


So in this example we'll be using the difference of squares which essentially states that: (a-b)(a+b)=a^2-b^2 or another way to think of it would be: a-b=(\sqrt{a}-\sqrt{b})(\sqrt{a}+\sqrt{b}). So in this example you'll notice both terms are perfect squares. in fact x^n is a perfect square as long as n is even. This is because if it's even it can be split into two groups evenly for example, in this case we have x^8. so the square root is x^4 because you can split this up into (x * x * x * x) * (x * x * x * x) = x^8. Two groups with equal value multiplying to get x^8, that's what the square root is. So using these we can rewrite the equation as:

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So completely factored form is: (x^2-2)(x^2+4)(x^4+4)

I'm assuming that's considered completely factored but you can technically factor it further. While the identity difference of squares technically only applies to difference of squares, it can also be used on the sum of squares, but you need to use imaginary numbers. Because x^2+4 = x^2-(-4). and in this case a=x^2 and b=-4. So rewriting it as the difference of squares becomes: x^4+4 = x^4 - (-4) = (x^2-\sqrt{-4})(x^2+\sqrt{-4}) = (x^2-2i)(x^2+2i) just something that might be useful in some cases.

7 0
1 year ago
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