17.the diameter of a circle has endpoints p(–7, –10) and q(3, 2).

a.

find the center o...

Mathematics, 08.11.2019 12:31 mahmudabiazp3ekot

# 17.the diameter of a circle has endpoints p(–7, –10) and q(3, 2).

a.

find the center of the circle.

b.

find the radius. if your answer is not an integer, express it in radical form.

c.

write an equation for the circle.

Answers: 2

Mathematics, 21.06.2019 22:00

An engineer has designed a new light bulb to last longer than the old light bulbs her company makes now. the old light bulbs have a mean lifetime of 1200 hours. she is planning a hypothesis test to determine whether bulbs of her new design actually last longer than the bulbs of the old design. what is the null hypothesis for this study? h0: μ< 1200 h0: μ≠1200 h0: μ=1200 h0: μ> 1200 what is the alternative hypothesis for this study? ha: μ< 1200 ha: μ≠1200 ha: μ=1200 ha: μ> 1200

Answers: 2

Mathematics, 21.06.2019 23:30

Given: ad¯¯¯¯¯ is an altitude. prove: ab2+ac2=cb2 right triangle a b c with right angle a. point d lies on side b c and segment a d is drawn. angle a d c is a right angle. drag and drop a reason into each box to correctly complete the two-column proof. statement reason ad¯¯¯¯¯ is an altitude, and ∠bac is a right angle. given ∠adb and ∠adc are right angles. definition of altitude ∠bac≅∠bda ? ∠bac≅∠adc ? ∠b≅∠b ? ∠c≅∠c reflexive property of congruence △abc∼△dba ? △abc∼△dac aa similarity postulate abbd=cbab ? ab2=(cb)(bd) cross multiply and simplify. acdc=cbac polygon similarity postulate ac2=(cb)(dc) cross multiply and simplify. ab2+ac2=ab2+(cb)(dc) addition property of equality ab2+ac2=(cb)(bd)+(cb)(dc) substitution property of equality ab2+ac2=(cb)(bd+dc) ? bd+dc=cb segment addition postulate ab2+ac2=cb2 substitution property of equality

Answers: 1

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