3 years ago

Which model represents a factor of 4x^2-9

Mathematics

2 answers:

Gnom [1K]3 years ago

6 0

Answer:

The top is 4x^2 -9

Step-by-step explanation:

The blue squares are negative and the orange squares are postive

The top has 4x^2 +9x -9x -9

The bottom has 4x^2 +3x-3x+3x-3x +9

lina2011 [118]3 years ago

4 0

The second square is the answer

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The formula for the hypotenuse of a right triangle with legs of length a and b is shown.

fomenos

Answer: $b=\sqrt{c^{2}-a^{2}}$

Step-by-step explanation:

To solve the exercise you must solve for b from the formula for the hypotenuse, as you can see below:

- Square both sides of the equation as following:

$c^{2}=(\sqrt{a^{2}+b^{2}})^{2}$

- Now you must subtract a² from each side of the equation, then you obtain:

$c^2-a^{2}=a^{2}-a^{2}+b^{2}$

$c^2-a^{2}=b^{2}$

- Apply square root to both sides:

$\sqrt{b^{2}}=\sqrt{c^{2}-a^{2}}$

Then:

$b=\sqrt{c^{2}-a^{2}}$

6 0

3 years ago

Read 2 more answers

The average weight of a midsize car is 1 3/4 tons. The average weight of a compact car is 6/7 of the weight of a midsize car. Ho

Alborosie

6/7 of 1 3/4......turn the mixed number to an improper fraction...and " of " means multiply
6/7 * 7/4 = 42/28 = 1 1/2...so a compact car weighs 1 1/2 tons or 1.5 tons

7 0

3 years ago

20 POINTS An electrician charges a set fee for every house call and then charges an hourly rate depending on how long the job ta

tatuchka [14]

Answer:

$the \: slope \: is \to \boxed{60}$

Step-by-step explanation:

$if \to C=65+60t \\ C=60t + 65 \\ but \: the \: \boxed{ c - intercept} \: is \: in \: the \: form \to \\ c = mt + b \\ hence \to \\ 60t = mt \\ m = \frac{60t}{t} \\ m = 60 \\ the \: slope \: is \to \boxed{60}$