The expression 36a+16b factored using the gcf is

Mathematics

2 answers:

Rzqust [24]2 years ago

7 0

36a+16b. The greatest common factor is 4
= 4(9a+4b)

zysi [14]2 years ago

7 0

Answer:

4(9a+4b)

Step-by-step explanation:

We have the expression 36a+16b, we can see that the greatest common factor (gcf) between 36 and 16 is 4.

The factors of 36 are : 1, 2, 3, 4, 6, 9, 12, 18, 36

The factors of 16 are: 1, 2, 4, 8, 16

Then,

$36a+16b=\\4.(9a)+4.(4b)=\\=4(9a+4b)$

The answer is 4(9a+4b)

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3 years ago

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Can someone please help me with this last one. I am totally lost and don’t understand

Ad libitum [116K]

Answer:

g(-4) = -1

g(-1) = -1

g(1) = 3

Explanation:

If you are given a function that is defined by a system of equations associated with certain intervals of x, just find which interval makes x true, and then substitute x into the equation of that interval.

For example, given g(-4), this is an expression which is asking for the value of the equation when x = -4. So -4 is not ≥ 2, so ¼x - 1 will not be used. -4 is also not ≤ -1 and ≤ 2, so -(x - 1)² + 3 will not be used either. So in turn, we will just use -1 which is always -1 so g(-4) will just be -1, right because there is no x variable in -1 so it will always be the same.

Using the same idea as before g(-1) is g(x) when x = -1 so -1 will not be a solution because -1 is not less than -1 (< -1). -1 is not ≥ 2 either so we will be using the second equation because -1 is part of the interval -1≤x≤2 (it is a solution to this inequality), therefore -(x - 1)² + 3 will be used.

As x = -1, -(x - 1)² + 3 = -(-1 - 1)² + 3 = -(-2)² + 3 = -4 + 3 = -1.

It is a coincidence that g(-1) = -1.

Now for g(1), where g(x) has an input of 1 or the value of the function where x = 1, we will not use the first equation because x = 1 → x < -1 → 1 < -1 [this is false because 1 is never less than -1], so we will not use -1.

We will use -(x - 1)² + 3 again because 1 is not ≥ 2, 1≥2 [this is also false]. And -1 ≤ 1 < 2 [This is a true statement]. Therefore g(1) = -(1 - 1)² + 3 = -(0)² + 3 = 3

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2 years ago

Which undefined term is used to define an angle ?

enyata [817]

Point.

<h3>Further explanation</h3>

This is one of the classic problems of Euclidean geometry.
The angle is determined by three points, we call it A, B, C, with A ≠ C and B ≠ C.
We express an angle with three points and a symbol ∠. The middle point represents constantly vertex. We can, besides, give angle names only with vertices. For example, based on the accompanying image, the angle can be symbolized as ∠BAC, or ∠CAB, or ∠A.

Types of Angles

The acute angle represents an angle whose measure is greater than 0° and less than 90°.
The right angle is an angle that measures 90° precisely.
The obtuse angle represents an angle whose measures greater than 90° and less than 180°.
The straight angle is a line that goes infinitely in both directions and measures 180°. Carefully differentiate from rays that only runs in one direction.

Undefined terms are the basic figure that is undefined in terms of other figures. The undefined terms (or primitive terms) in geometry are a point, line, and plane.

These key terms cannot be mathematically defined using other known words.

A point represents a location and has no dimension (size). It is marked with a capital letter and a dot.
A line represent an infinite number of points extending in opposite directions that have only one dimension. It has one dimension. It is a straight path and no thickness.
A plane represents a planar surface that contains many points and lines. A plane extends infinitely in all four directions. It is two-dimensional. Three noncollinear points determine a plane, as there is exactly one plane that can go through these points.

<h3>Learn more </h3>

Undefined terms are implemented to define a ray brainly.com/question/1087090
Definition of the line segment brainly.com/question/909890
What are three collinear points on a line? brainly.com/question/5795008

Keywords: the definition of an angle, the undefined term, line, point, line, plane, ray, endpoint, acute, obtuse, right, straight, Euclidean geometry