H(x) = x - 7
g(x) = x^2
(g * h)(x) = x^2 (x - 7)
(g * h)(5) = 5^2 (5 - 7)
Answer:
- ABCD is a rhombus, and a parallelogram
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<h3>Given </h3>
- Points A(-6, - 1), B(4, - 6), C(2, 5), D(- 8, 10)
First, plot the points (see attached picture).
Then, connect all the points.
<h3>We see that:</h3>
- Opposite sides are parallel,
- Diagonals are perpendicular.
From our observation the figure is rhombus.
Let's confirm it with the following.
1) Find midpoints of diagonals and compare.
- AC → x = (- 6 + 2)/2 = - 2, y = (- 1 + 5)/2 = 2
- BD → x = (4 - 8)/2 = - 2, y = (- 6 + 10)/2 = 2
The midpoint of both diagonals is same (- 2, 2).
2) Find slopes of diagonals and check if their product is -1, this will confirm they are perpendicular.
- m(AC) = (5 - (-1))/(2 - (-6)) = 6/8 = 3/4
- m(BD) = (10 - (-6))/(-8 - 4) = - 16/12 = - 4/3
- m(AC) × m(BD) = 3/4 * (- 4/3) = - 1
<u>Confirmed.</u>
So this is a rhombus and also a parallelogram but <u>not</u> rectangle or square, since opposite angles are not right angles.
Answer:
x²+12x+35
Step-by-step explanation:
in factored form it would just be
(x+7)(x+5)=0
expand this
x²+12x+35=0
The equation 7x + 3x - 18 = 6(x+3) is 9
<h3>What is equation?</h3>
An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
given:
7x + 3x - 18 = 6(x+3)
7x + 3x - 18 = 6x+18 [Distributive Property]
10x-18= 6x+18 [Addition Property of Equality]
10x-6x= 18+18 [Combine Like Terms ]
4x=36 [Subtraction Property of Equality]
4*x=36 [Multiplication Property of Equality]
x=36/4 [Division Property of Equality]
x=9
Learn more about equation here:
brainly.com/question/10413253
#SPJ1
We can solve this problem by using the laws of exponents. The laws of exponents state:

=

We can use this law in our situation. The answer here, using the laws of exponents, is

or
5.