Answer:
y =
x + 7
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y-intercept )
here m =
, hence
y =
x + c ← is the partial equation
to find c substitute (4, 9) into the partial equation
9 = 2 + c ⇒ c = 9 - 2 = 7
y =
x + 7 ← equation in slope-intercept form
The answer would be theorem Side angle side (aka SAS)
The number of passwords that would be allowed if users were allowed to reuse the letters and numbers is 30891577600
<h3>How to determine the number of passwords</h3>
The given parameters are:
Password length = 8
Letters = 6
Numbers = 2
There are 26 letters and 10 digits.
Since the letters and the numbers can be repeated, then the number of passwords is:
Count = 26^6 * 10^2
Evaluate
Count = 30891577600
Hence, the number of passwords that would be allowed if users were allowed to reuse the letters and numbers is 30891577600
Read more about combination at:
brainly.com/question/11732255
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Step-by-step explanation:
(1 - cos²A) (1 + tan²A) = tan²A
(sin²A)(sec²A) = tan²A
(sin²A)(1/cos²A) = tan²A
(sin²A)/(cos²A) = tan²A
tan²A = tan²A → <u>Proved</u>
Answer:
Please check the explanation below.
Step-by-step explanation:
Some of the properties are defined as:
- <em>Distributive property</em>
a(b+c) = ab+ac
For example,
suppose a=1, b=2, c=3
1(2+3) = 1(2) + 1(3)
5 = 2+3 = 5
- <em>Subtraction property of Equality</em>
if (a=b), then a-c = b-c
For example,
suppose a=1, b=1, c=3
if a = b ⇒ 1 = 1
then a-c = b-c ⇒ 1-3 = 1 - 3 ⇒ -2 = -2
- <em>Addition property of Equality</em>
if (a=b), then a+c = b+c
For example,
suppose a=1, b=1, c=3
if a = b ⇒ 1 = 1
then a+c = b+c ⇒ 1+3 = 1+3 ⇒ 4 = 4
- <em>Multiplicative property of Equality</em>
if (a=b), then a×c = b×c
For example,
suppose a=1, b=1, c=3
if a = b ⇒ 1 = 1
then a×c = b×c ⇒ 1×3 = 1 × 3 ⇒ 3 = 3
- <em>Division property of Equality</em>
if (a=b), then a÷c = b÷c
For example,
suppose a=1, b=1, c=3
if a = b ⇒ 1 = 1
then a÷c = b÷c ⇒ 1÷3 = 1 ÷ 3 ⇒ 1/3 = 1/3
Let's solve the given equation using the above properties.
5(x+10) = 20 Given
5x+50 = 20 1) Distriburive property ∵ a(b+c) = ab+ac
5x = -30 2) Subtraction property of Equality ∵ if (a=b), then a-c = b-c
x = -6 3) Division property of Equality ∵ if (a=b), then a÷c = b÷c