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3 years ago

15

Complete the table using the relationship between q and t.

1 answer:

kati45 [8]3 years ago

3 0

T will always be q + 20, because she always talks for 20 minutes.

Q = 2, T = 22
Q = 4 T = 24
Q = 6. T= 26
Q = 8, T=28

You might be interested in

What is HB? Triangle Mid-segment Theorem

Scorpion4ik [409]

Answer:

HB = 13

Step-by-step explanation:

In triangle GHJ, points A, B, C are mid points of the sides GH, HJ, GJ respectively.

Therefore by Mid-segment Theorem.

$AC = \frac{1}{2} HJ \\ \\ 3y - 5 = \frac{1}{2} (4y + 2) \\ \\ 3y - 5 = \frac{1}{2} \times 2 (2y + 1) \\ \\ 3y - 5 = 2y + 1\\ \\ 3y - 2y = 5 + 1 \\ \\ y = 6 \\ \\ HJ = 4y + 2 \\ \\ HJ = 4 \times 6 + 2 \\ \\ HJ = 24 + 2 \\ \\ HJ = 26 \\ \\ HB= \frac{1}{2} HJ \\ \\ HB= \frac{1}{2} \times 26 \\ \\ \huge \red{ \boxed{ HB= 13}}$

7 0

3 years ago

The triangle ABC and XYZ are similar in that order and AB:XY = 3:2. Find the ratio of the area of triangle ABC to that of triang

kotegsom [21]

Answer:

=9:4

Step-by-step explanation:

The relationship between area and side of triangle is

= (S1/S2)^2= (A1/A2)

=(3/2)^2=(A1/A2)

=9/4=(A1/A2)

=A1:A2=9:4

6 0

3 years ago

Rectangle ABCD has vertices at A(−3,1),B(−2,−1),C(2,1), and D(1,3). What is the area, in square units, of this rectangle?

lilavasa [31]

Answer:

B. 10

Step-by-step explanation:

To find the area of this rectangle, we will simply find the distance AB and then find the distance BC, then multiply both together.

First, we will find the distance AB

A(-3,1), B(-2, -1)

Using the distance formula;

|AB| = √(x₂ - x₁)² + (y₂ - y₁)²

x₁= -3 y₁ = 1 x₂ = -2 y₂ = -1

|AB| = √(-2 + 3)² + (-1 - 1)²

=√(1)² + (-2)²

= √1 + 4

= √5

Next, we will find the distance BC

B(-2, -1) C(2, 1)

Using the distance formula;

|BC| = √(x₂ - x₁)² + (y₂ - y₁)²

x₁= -2 y₁ =- 1 x₂ = 2 y₂ = 1

|AB| = √(2 + 2)² + (-1 - 1)²

=√(4)² + (-2)²

= √16 + 4

= √20

Area of the rectangle ABCD = |AB| . |BC|

= √5 × √20

= √5×20

=√100

=10

Area of the rectangle ABCD = 10 square units

6 0

3 years ago

Scale 1 in=8 feet<br> So 1.24 in =

zepelin [54]

Answer:

9.92 feet or 9 feet 11 1/16 inches

Step-by-step explanation:

1.24X8 feet=9.92 feet or 9 feet 11 1/16 inches

4 0

2 years ago

Select the correct answer from each drop-down menu.

Aleks [24]

Answer:

$6x^2+5x-6=(3x-2)(2x+3)$

Step-by-step explanation:

<u>Given expression</u>:

$6x^2+5x-6$

To factor a quadratic in the form $ax^2+bx+c$ , first find two numbers that multiply to $ac$ and sum to $b$ :

$\implies ac=6 \cdot -6=-36$

$\implies b=5$

Two numbers that multiply to -36 and sum to 5 are: 9 and -4

Rewrite b as the sum of these two numbers:

$\implies 6x^2+9x-4x-6$

Factorize the first two terms and the last two terms separately:

$\implies 3x(2x+3)-2(2x+3)$

Factor out the common term (2x + 3):

$\implies (3x-2)(2x+3)$

Therefore:

$6x^2+5x-6=(3x-2)(2x+3)$

3 0

2 years ago

Read 2 more answers