Answer:
(x + 9)(5x - 1)
Step-by-step explanation:
Given
5x² + 44x - 9
Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.
product = 5 × - 9 = - 45 and sum = + 44
The factors are + 45 and - 1
Use these factors to split the x- term
5x² + 45x - x - 9 ( factor the first/second and third/fourth terms )
= 5x(x + 9) - 1(x + 9) ← factor out (x + 9) from each term
= (x + 9)(5x - 1) ← in factored form
Answer:
Step-by-step explanation:
If all 21 coins were dimes, she'd have $2.10. But she has 90 more cents than that. Now for each coin that's a quarter, not a dime, she has 15 cents more. 90/15= 6. So there are 6 quarters, and 21-6 = 15 dimes.
Now we do it backwards to see if it's right. 6 quarters is $1.50, 15 dimes is $1.50, add those together and you get $3. So it's right. 6 quarters, 15 dimes.
the exact value of sin A to the nearest ten- thousandth is 0. 6625
<h3>Using the pythagorean theorem</h3>
a² + b² = c²
The opposite side is unknown, so use the pythagorean theorem to find it
c = hypotenuse = 4
a= opposite site = ?
b= adjacent side = 3
Substitute into the formula
4² = a² + 3²
16 = a² + 9
a² = 16 -9 = 7
Find the square root
a =√7 = 2. 65
To find Sin A, use
Sin A = opposite side ÷ hypotenuse
Sin A = 2. 65 ÷ 4 = 0. 6625
Thus, the value of sin A is 0. 6625
Learn more about pythagorean theorem here:
brainly.com/question/654982
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<u><em>Answer:</em></u>
One kilometer is miles
<u><em>Explanation:</em></u>
<u>To convert a decimal to a fraction:</u>
1- Write the decimal as a fraction whose denominator is 1
2- Multiply both numerator and denominator by multiples of 10 to eliminate the decimal point
3- Simplify the fraction you have
<u>Now, for the given problem:</u>
<u>The given decimal is 0.62, following the above steps:</u>
<u>Step 1: </u>
<u>Step 2:</u>
We have two digits after the decimal point, so to eliminate the decimal point, we will multiply the numerator and the denominator by 100
<u>Step 3:</u>
We can note that, in the fraction obtained from step 2, both the numerator and the denominator are divisible by 2, so we simplify as follows:
Hope this helps :)
The first question is D because if the
y-intercept is 1 then every point moves down three units.
The second question is J because a vertical line is not a function so it can’t be a linear function.