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Scrat [10]
2 years ago
14

Plot triangle ABC on graph paper with points A(2,2). B(-2, -2) and C(8, -2).

Mathematics
1 answer:
bonufazy [111]2 years ago
4 0

9514 1404 393

Answer:

  a) The new triangle is a reflection of the original across the origin. All angles, segment lengths, and line slopes have been preserved: the transformed triangle is congruent with the original.

  b) The new triangle is a reflection of the original across the origin and a dilation by a factor of 2. Angles have been preserved: the transformed triangle is similar to the original. The transformation is NOT rigid.

Step-by-step explanation:

1. The transformed triangle is blue in the attachment. It is congruent with the original. The transformation is "rigid," a reflection across the origin. All angles and lengths have been preserved, as well as line slopes.

__

2. The transformed triangle is orange in the attachment. It is similar to the original, in that angles have been preserved and lengths are proportional. It is a reflection across the origin and a dilation by a factor of 2. Line slopes have also been preserved. A dilation is NOT a "rigid" transformation.

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Solve this quadratic equation using the quadratic formula. 5 - 10x - 3x2 = 0
horsena [70]

Answer:

x = (-5 ± 2√10) / 3

Step-by-step explanation:

5 − 10x − 3x² = 0

Write in standard form:

-3x² − 10x + 5 = 0

Solve with quadratic formula:

x = [ -b ± √(b² − 4ac) ] / 2a

x = [ -(-10) ± √((-10)² − 4(-3)(5)) ] / 2(-3)

x = [ 10 ± √(100 + 60) ] / -6

x = (10 ± 4√10) / -6

x = (-5 ± 2√10) / 3

4 0
3 years ago
Read 2 more answers
The intensity of a light source at a distance is directly proportional to the strength of the source and inversely proportional
jolli1 [7]

Answer:

x=\frac{16}{\sqrt[3]{2}+1 }

Step-by-step explanation:

Q= illumination

I = intensity

Q= I/d^2

Q_total = \frac{I_1}{d_1^2}+\frac{I_2}{d_2^2}

= \frac{I}{x^2}+\frac{2I}{(16-x)^2}

now Q' = 0

⇒I{-\frac{2}{x^3}}+\frac{4}{(16-x)^3}

x=\frac{16}{\sqrt[3]{2}+1 }

[/tex]\frac{1}{x^3} = \frac{2}{(16-x)^3}

x=\frac{16}{\sqrt[3]{2}+1 }

is the required point

5 0
2 years ago
Jovana is inviting 9 friends to a party each friend wants 7 cookies and each box has 12 cookies how many boxes should Jovana get
gulaghasi [49]

Answer:

3boxes

Step-by-step explanation:

1st we should know the number of cookies

7*5=35

Divide the total of cookies to cookies per box 35/12=2 11/12

2 boxes and 11 cookies remaning (they need an extra box)= 3 boxes

8 0
2 years ago
Question 2
frosja888 [35]

Answer:

(50,55,60,....)

Step-by-step explanation:

Given that a health insurance plan has a $50 enrollment fee and a copayment of $5 for each doctor visit.

The function f(x) = 5x + 50 gives the cost of x doctor visits

Here x is the no of visits.

No of visits is an independent variable while f(x) total cost is a dependent variable on x

slope = 5 which indicates for each visit extra, extra cost is 5 dollars

Enrollment fee = 50 = fixed cost

Hence domain would be

x =0,1,2,3.....

So range is

(50,55,60,....)

3 0
2 years ago
Is it possible for a composite number to have more than one prime factorization? Is it possible for a number to have no prime fa
Nitella [24]
Prime factors are factors of a composite number that are indivisible except by the number 1 or the number itself. The answers to your questions are the following:

1. Yes, it is possible especially for very large numbers. 
2&3. No, because as mentioned previously, the default prime factors of numbers are 1 and the number itself. For example, 2 is a prime number. Its factors are 1 and 2.
4. Prime factorization are useful in fields of encryption. They make use of the basic prime numbers for the arithmetic modulus with the general equation: n=pq.
3 0
3 years ago
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