The artistic crop isn't helpful; it cuts off some vertex names.
The circumcenter H is the meet of the perpendicular bisectors of the sides, helpfully drawn. We have right triangle ELH, right angle L, so
EH² = HL² + EL²
EL = √(EH² - HL²) = √(5.06²-2.74²) ≈ 4.2539393507665339
Since HL is a perpendicular bisector of EF, we get congruent segments FL=EL.
Answer: 4.25
Answer:
d = 10.5, a₁ = - 3.5
Step-by-step explanation:
The n th term of an AP is
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Given a₂ = 7 and a₄ = 28 , then
a₁ + d = 7 → (1)
a₁ + 3d = 28 → (2)
Subtract (1) from (2) term by term to eliminate a₁
2d = 21 ( divide both sides by 2 )
d = 10.5 ← common difference
Substitute d = 10.5 into (1)
a₁ + 10.5 = 7 ( subtract 10.5 from both sides )
a₁ = - 3.5 ← first term
Answer:
Step-by-step explanation:
The Greatest Common Factor (GCF) of a polynomial is defined as the largest monomial that is a factor of all the terms of the polynomial.
In this case, given this polynomial:
You can factor out the Greatest Common Factor applying this procedure:
1. Write the terms of the polynomial in prime factor form:
2. Identify the factors the terms have in common (this will be the Greatest Common Factor). In this case this is:
3. Finally, rewrite the expression in factor form:
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Add sides 9
This is the slope-intercept form.
<h2><u>Remember from now on</u> ,</h2>The coefficient of x is the slope of the line in slope-intercept form of the linear functions.
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Thus ,
Slope = 1 / 5
And the correct answer is (( D )) .
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