A line segment is drawn from (1, 9) to (4, 9) on a coordinate grid. Which answer explains one way that the length of this line segment can be determined? A. Add 9 + 4. B. Add 4 + 1. C. Subtract 9 – 4. D. Subtract 4 – 1.

Answers

Answer 1

Answer: One way that the length of this line segment can be determined is by
D. Subtract 4 - 1

Or the distance formula can be used
d = √( (9 - 9)² + (4 - 1)² )
d = √( 0² + 3² )
d = √3²
d = 3

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The prime factorization of
is 24 x 5

Answers

Answer:

Step-by-step explanation:

Answer:

5 x 24 = 120

120 pf= 2 x 2 x 2 x 3 x 5

or the answer is

2^3 x 3 x 5

Step-by-step explanation:

2. Explain how the order of operations determines how you simplify a numeric expression. Be sure to explain the rules for addition, subtraction, multiplication, division, and the use of grouping symbols. Use examples to illustrate your points.

Answers

P-paratheses (do any math that has parentheses around the numbers) y=(2x5)+25
E-exponents (do the exponents next) y=(2x5)+5^2
M-multiplying. (Basically everything is self explanatory from here to then cuz im lazy to list examples)
Just basically if you don't use PEMDAS, you'll get the wrong answer

In a circle an arc length 10 is intercepted by a central angle of 2/3 radius

Answers

We have been given that in a circle an arc length 10 is intercepted by a central angle of 2/3. We are supposed to find the radius of the circle.

We will use arc-length formula to solve our given problem.

$l=r\theta$ , where,

$l$ = Arc length,

$r$ = Radius,

$\theta$ = Central angle corresponding to arc length.

Upon substituting our given values in arc-length formula, we will get:

$10=r\cdot (2)/(3)$

$10\cdot (3)/(2)=r\cdot (2)/(3)\cdot (3)/(2)$

$5\cdot (3)/(1)=r$

$15=r$

Therefore, the radius of the given circle would be 15 units.

Is this triangle
ASA
SSS
HL
AAS
SAS
or Not Congruent

Answers

Step-by-step explanation:

With the GIVEN information ( without having to deduce any more information about the triangles)

SAS says the triangles are congruent ..... two equal sides with an equal included angle between the sides

Answer:

SAS

Step-by-step explanation:

Angle ABC = Angle ECD

AC = DC

BC = CE

What is the area of a rectangle with a height of 3X and a width of 2X -3

Answers

Answer:6x^2 -9x

Step-by-step explanation:

6x2-9x would be the correct answer

The high school is hosting an event for seniors but will also allow some juniors to attend. The principal approved the event for 200 students and decided the number of juniors should be 25% of the number of seniors. How many juniors will be allowed to attend?