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3 years ago

Which of the following is equivalent to (2a + a)(3b + 1)?

Mathematics

1 answer:

yaroslaw [1]3 years ago

7 0

Answer:

9ab+3a

Step-by-step explanation:

(2a+a)(3b+1)=(3a)(3b+1)

3a(3b+1)

=(3a×3b)+3a×1

=9ab+3a

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The area of an isosceles right triangle is 121 ft squared. What is the approximate length of each of the two equal sides?

Trava [24]

Answer:

15.56 ft

Step-by-step explanation:

The formula for the area of a triangle is

A = ½bh

This is an isosceles triangle, so b = h.

Substitute the value of h

A = ½b² = 121

Multiply each side by 2

b² = 242

Take the square root of each side of the equation.

b = √242 ≈15.56 ft

The length of the two equal sides of the triangle is approximately 15.56 ft.

<em>Check: </em>

A = ½(15.56)² = ½× 242 = 121 ft²

4 0

3 years ago

Select all the equations that have the same solution as the equation 3x – 12 = 24

Stolb23 [73]

Your answer will be D and E

7 0

3 years ago

On a coordinate plane, a line has points (negative 2, negative 4) and (4, 2). Point P is at (0, 4). Which points lie on the line

NikAS [45]

Answer:

the correct options are:

(–1, 3), (–2, 2) and (–5, –1)

Step-by-step explanation:

Given that a line passes through two points

A(-2, -4) and B(4, 2)

Another point P(0, 4)

To find:

Which points lie on the line that passes through P and is parallel to line AB ?

Solution:

First of all, let us the find the equation of the line which is parallel to AB and passes through point P.

Parallel lines have the same slope.

Slope of a line is given as:

$m=\dfrac{y_2-y_1}{x_2-x_1}$

$m=\dfrac{2-(-4)}{4-(-2)} = 1$

Now, using slope intercept form ( $y = mx+c$ ) of a line, we can write the equation of line parallel to AB:

$y =(1)x+c \Rightarrow y = x+c$

Now, putting the point P(0,4) to find c:

$4 = 0 +c \Rightarrow c = 4$

So, the equation is $\bold{y=x+4}$

So, the coordinates given in the options which have value of y coordinate equal to 4 greater than x coordinate will be true.

So, the correct options are:

(–1, 3), (–2, 2) and (–5, –1)

8 0

3 years ago

Read 2 more answers

Choose the expression that best represents the phrase below.

Arada [10]

20 more than the price of the meal is 20+p. Option-B is correct.

Given that,

The expression we have to get from 20 more than the price of the meal is.

Mathematical statements are called expressions if they have at least two terms that are related by an operator and contain either numbers, variables, or both. There are four types of mathematical operations: addition, subtraction, multiplication, and division.

Take the price of the meal as p.

20 more than the price of the meal is 20+p.

Therefore, 20 more than the price of the meal is 20+p. Option-B is correct.

To learn more about price visit: brainly.com/question/13731474

#SPJ1

7 0

1 year ago

Pizzazz Publication is having some books printed. The printer charges $800 plus $5 per book. How many books can be printed for $

Airida [17]

Answer:

Step-by-step explanation:

800+5=805

4000÷805=4.9689441

5 0

3 years ago