Step-by-step explanation:
a. y-y1/y2-y1=x-x1/x2-x1
y+9/-5+9=x-9/10-9
y+9/4=x-9/1
y+9/4=x-9
b. y+9=4(x-9)
y+9=4x-45
y-4x=-45-9
y-4x=-54
The quadratic equation for this would be f(x) = 5x^2 - 10x - 120.
In order to find that, we need to start by taking our x intercept values and setting them equal to zero.
x = 6 ----> subtract 6 from both sides
x - 6 = 0
x = -4 ----> add 4 to both sides
x + 4 = 0
Now that we have both of these zero terms, we can multiply them to get a standard form.
f(x) = (x - 6)(x + 4)
And while this will give us the zeros we need, it will no give us the lead coefficient. So we must multiply by the desired lead coefficient.
f(x) = 5(x - 6)(x + 4)
f(x) = 5(x^2 - 6x + 4x - 24)
f(x) = 5(x^2 - 2x - 24)
f(x) = 5x^2 - 10x - 120
Two conditionals from each biconditional are
- (1) A month has exactly 28 days (2) It is February
- (1)Two angels are complementary (2) The measures of the angles add up to 90
- (1) The area of square s^2 (2) The perimeter of the square is 4s
<h3>How to write two conditionals from each biconditional?</h3>
A biconditional statement is represented as:
if and only if p, then q
From the above biconditional statement, we have the following conditional statements
Conditional statement 1: p
Conditional statement 2: q
Using the above as a guide, the conditional statements from the biconditional statements are:
<u>Biconditional statement 30</u>
- A month has exactly 28 days
- It is February
<u>Biconditional statement 31</u>
- Two angels are complementary
- The measures of the angles add up to 90
<u>Biconditional statement 32</u>
- The area of square s^2
- The perimeter of the square is 4s
Read more about biconditionals at
brainly.com/question/27738859
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3. <u>Two angles and included side (ASA congruence theorem)</u>.
<u>Reason:</u> This is because, it is given that angle Q is congruent to angle T and line QR is congruent to line TR. Also, we proved in step 2 that
. Thus, we have two angles and the side included as congruent and thus, the two triangles are congruent.
4. <u>CSCT (Corresponding Sides of a Congruent Triangle)</u>
<u>Reason:</u> PR and SR are the corresponding sides of the congruent triangles
and
, therefore, by the CSCT these corresponding sides have to be congruent.
Answer:
n=0
Step-by-step explanation:
4(0) +5(0)=
0+0=
0