Answer:
a) (x/2 +3)^2
b) (5a -3b)^2
c) (x/3 +y/5)^2
d) (10b -3c)^2
e) (a/4 -2b)^2
Step-by-step explanation:
Assuming you can do that, write the terms of the quadratic in lexicographical order. (The square terms will be first and last.) Then the binomial is the "sum" of the square roots of the first and last terms with the sign of the middle term.
Using (e) as an example, the term are already in order. (In (d), they need to be rearranged.) The first term is 1/16a^2, and its square root is 1/4a = a/4. The last term is 4b^2 and its square root is 2b. The sign of the middle term is negative, so these two roots will be separated by a minus sign:
(a/4 - 2b)^2
The expression you want is the square of the binomial.
_____
As a check, you can make sure that double the product of these terms is the middle term of the trinomial you started with.
In this example, that double product is 2·a/4·(-2b) = -ab, which exactly matches the middle term you started with.
A² - 225 = (a-15)(a+15)
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<u>7.1 cm long is the arc</u><u> intersected by a central angle .</u>
What is length of an arc?
- The arc length of a circle can be calculated with the radius and central angle using the arc length formula.
- Length of an Arc = θ × r, where θ is in radian. Length of an Arc = θ × (π/180) × r, where θ is in degree.
Given,
Central angle = π / 2
radius = 4.5 cm
we apply formula of length of arc.
length of the arc = angle × radius
= (π/2) × (4.5 cm)
Now put value of π = 3.14
length of the arc = (3.14 / 2) × (4.5) cm
= 7.065 cm ≈ 7.1 cm
Therefore, 7.1 cm long is the arc intersected by a central angle .
Learn more about<u> </u> length of an arc
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Answer:
Step-by-step explanation:
To convert the percent into a fraction , divide it by 190 and remove the % symbol. Then , Simplify the fraction to its lowest term.
⇒
⇒
Divide 80 by 2
⇒
Hope I helped!
Best regards!!
Answer:
2 Miles
Step-by-step explanation:
1 2/3 x 6 = 10
( She needs to walk 2 more miles )
Tomorrow Anna should run 2 miles to reach her goal.
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