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3 years ago

Which of these describes the system of linear equations below?

Mathematics

1 answer:

myrzilka [38]3 years ago

4 0

Answer:

The answer is going to be A

Step-by-step explanation:

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What is the value of X

Ulleksa [173]

Answer:

B. 8

Step-by-step explanation:

The sum of all exterior angles of pentagon is equal to 360°. There are such exterior angles: 62°, 66°, 77°, 59°, (12x)°. Thus, the sum

$62^{\circ}+66^{\circ}+77^{\circ}+59^{\circ}+(12x)^{\circ}=360^{\circ},\\ \\264^{\circ}+(12x)^{\circ}=360^{\circ},\\ \\(12x)^{\circ}=360^{\circ}-264^{\circ},\\ \\(12x)^{\circ}=96^{\circ},\\ \\x^{\circ}=8^{\circ}.$

7 0

3 years ago

Which expressions are equivalent to <br><br> 2 ln a + 2 ln b - ln a?

ycow [4]

Answer:

Choices 2, 3, and 5 are correct.

Step-by-step explanation:

Complete question is:

Check all that apply.

1. ln ab² - ln a

2. ln a + 2 ln b

3. ln a² + ln b² - ln a

4. 2 ln ab

5. ln ab²

ANSWER:

The given expression is : 2 ln a + 2 ln b - ln a

It simplifies to: ln a + ln b² = ln ab²

Checking the given options.

1. ln ab² - ln a = ln (ab²)/a = ln b²

FALSE

2. ln a + 2 ln b = ln ab²

TRUE

3. ln a² + ln b² - ln a = ln (a²b²)/a = ln ab²

TRUE

4. 2 ln ab = ln a²b²

FALSE

5. ln ab²

TRUE

4 0

3 years ago

Given that the first step of the sequence of transformations that maps ABCD to PQRST is a reflection, identify the the transform

olga55 [171]

Answer:

Step-by-step explanation:

4 0

3 years ago

What are the solutions of the inequality (x-3)(x+5)<=0

GarryVolchara [31]

Assuming that the inequality you were going for was a ≤, set both polynomials less than or equal to 0.

x - 3 ≤ 0

x + 5 ≤ 0

For the first equation add 3 to both sides of the inequality. For the second, subtract 5 from both sides.

x ≤ 3

x ≤ - 5

These would be your solutions I guess, however, if you want to expand upon that, your actual answer is (- ∞, - 5] because if you were to plot these two inequalities on a number line, that is where the overlap would occur.

4 0

3 years ago

Please help thank you.

marusya05 [52]

This problem can be completed in 2 ways. Both are acceptable.

Option 1:

This is an isosceles trapezoid that can be divided into a rectangle and two congruent triangles.

The area of the rectangle is the base times the height.

$9 \times 4=36$

The area of one of the triangles is half the base times the height.

$\dfrac{1}{2} \times 5 \times 4 = 10$

The other triangle must have that area too.

$36+10+10=56$

The area is 56 square centimeters.

Option 2:

We can use the area formula for the trapezoid.

$A=\dfrac{b_1+b_2}{2} \times h$

Where $b_1$ is the length of the shorter base
and $b_2$ is the length of the longer base
and $h$ is the height.

The length of the shorter base is 9.
The length of the longer base is 9+5+5, or 19.

The height is 4.

$A=\dfrac{9+19}{2} \times 4$

$=56$

Same answer. The area is 56 square centimeters.

Both options are two acceptable ways the problem can be tackled.

7 0

3 years ago