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3 years ago

6

Which similarity statement is true for the triangle shown ?

1 answer:

Setler79 [48]3 years ago

6 0

Answer:

B

Step-by-step explanation:

A and D are the same spots on the triangles, B and E are the same spots, and C and F are the same spots.

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Grayson evaluated 4x2 + 2y for x = 3 and y = 2.

guajiro [1.7K]

Grayson did not simplify the question

5 0

2 years ago

Given the following three points, find by the hand the quadratic function they represent (0,6, (2,16, (3,33)

Lisa [10]

Answer:

$f(x) = 4x^2 - 3x + 6$

Step-by-step explanation:

Quadratic function is given as $f(x) = ax^2 + bx + c$

Let's find a, b and c:

Substituting (0, 6):

$6 = a(0)^2 + b(0) + c$

$6 = 0 + 0 + c$

$c = 6$

Now that we know the value of c, let's derive 2 system of equations we would use to solve for a and b simultaneously as follows.

Substituting (2, 16), and c = 6

$f(x) = ax^2 + bx + c$

$16 = a(2)^2 + b(2) + 6$

$16 = 4a + 2b + 6$

$16 - 6 = 4a + 2b + 6 - 6$

$10 = 4a + 2b$

$10 = 2(2a + b)$

$\frac{10}{2} = \frac{2(2a + b)}{2}$

$5 = 2a + b$

$2a + b = 5$ => (Equation 1)

Substituting (3, 33), and c = 6

$f(x) = ax^2 + bx + x$

$33 = a(3)^2 + b(3) + 6$

$33 = 9a + 3b + 6$

$33 - 6 = 9a + 3b + 6 - 6$

$27 = 9a + 3b$

$27 = 3(3a + b)$

$\frac{27}{3} = \frac{3(3a + b)}{3}$

$9 = 3a + b$

$3a + b = 9$ => (Equation 2)

Subtract equation 1 from equation 2 to solve simultaneously for a and b.

$3a + b = 9$

$2a + b = 5$

$a = 4$

Replace a with 4 in equation 2.

$2a + b = 5$

$2(4) + b = 5$

$8 + b = 5$

$8 + b - 8 = 5 - 8$

$b = -3$

The quadratic function that represents the given 3 points would be as follows:

$f(x) = ax^2 + bx + c$

$f(x) = (4)x^2 + (-3)x + 6$

$f(x) = 4x^2 - 3x + 6$

6 0

3 years ago

How many pieces 3 and three fifths in. long can be cut from 28 metal rods each 15 in. long? Disregard waste.

Murrr4er [49]

Answer: 112 pieces

Step-by-step explanation:

1. Rewrite $3^{\frac{3}{5}}$ as a decimal. Divide the numerator and the denominator of the fractional part and add it to the integer part:

$3+0.6=3.6in$

2. You know that each metal rod is 15 inches long. Then, you must divide the lenght of each one by 3.6:

$pieces=\frac{15in}{3.6in}4.16$

3. The waste is 0.16, therefore, you obtain 4 pieces from a metal rod. The total pieces obtained from 28 metal rods are:

$total=4pieces*28=112pieces$

8 0

2 years ago

Read 2 more answers

Match the items.

RideAnS [48]

Answer:

Step-by-step explanation:

a.4

KL is congruent to MN

b.2

AB is the length of segment AB

c.3

MN=7

d.1

KL is conguent to AB

8 0

3 years ago

2 ( a - c) = 4a solve for a

Nezavi [6.7K]

Divide both sides by 2
a-c=2a
minus a fromboth sides
-c=a

7 0

2 years ago