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Ray Of Light [21]
3 years ago
8

Explain, in words, how you can identify a perfect square trinomial whose leading coefficient is 1

Mathematics
1 answer:
liberstina [14]3 years ago
4 0
When the leading coefficient is 1,
If the constant ( c term) is a perfect square and the b term is 2* the square root of the c term.
Ex.
x*2 + 10x + 25
2*5 = 10 5*5=25
Ex.
x^2 - 12x + 36
2 * -6 = -12 6*6=36
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In the triangles, and .
Ratling [72]

The <em><u>correct answers</u></em> are:

#1) Angle G is smaller than angle P; #2) The three sides have the same length; #3) The path along XY is longer than the path along ZY, and the path along ZY is longer than the path along AB.

Explanation:

#1) Since the measure of HK is smaller than the measure of MN, this means the angle opposite HK will be smaller than the angle opposite MN. This means ∠G is smaller than ∠P.

#2) Since all of the angles are congruent, all of the sides will be congruent as well.

#3) The side opposite the largest angle will be longest; the side opposite the smallest angle will be shortest. This means the side opposite the 36° angle, AB, will be smallest, and the side opposite the 79° angle, XY, will be largest. ZY will have a length between these two.

8 0
3 years ago
Read 2 more answers
36/ of what number is 27
Darina [25.2K]
I hope this helps you




36/?=27


36.?=27


?=27/36


?=3/4
5 0
3 years ago
Read 2 more answers
Evaluate Cot0 if sin0= square root of 6/5
Lina20 [59]
To evaluate cot θ given that sinθ=√6/5 we shall have:
sin θ=opposite/hypotenuse
hence
opposite=√6
hypotenuse=5
thus the adjacent will be found using the Pythagorean theorem
c²=a²+b²
plugging in the value we get:
5²=(√6)²+b²
b²=25-6
b²=19
b=√19
thus
adjacent=√19
but
cotθ=1/tanθ
tanθ=√6/√19
hence:
cotθ=√19/√6
6 0
3 years ago
A hot-air balloon is traveling at an altitude of 3,000 feet. It begins to descend at a rate of 80 feet per minute. Which equatio
german

Equation can be used to represent the altitude of the balloon, b, based on time, t be 3000-80x

<h3>What is equation?</h3>

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Given:

A hot-air balloon is traveling at an altitude of 3,000 feet.

It begins to descend at a rate of 80 feet per minute.

let x be the time in minutes.

let y be the altitude in feet.

Hence, equation will be = 3000-80x

Learn more about his concept here:

brainly.com/question/9181422

#SPJ1

7 0
2 years ago
Using the quadratic formula to solve 2x2=4x-7 , what are the values of x?
Firdavs [7]

Answer: no solution

Step-by-step explanation:

2x2=4x-7

4x=4x−7

0=−7

Since 0=−7 is false, the answer is no solution.

8 0
3 years ago
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