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3 years ago

Segments RT and SU are diameters of circle O.What is mSRT?

1 answer:

3 0

Angle SRT is undetermined by the question.

A diameter always subtends a right angle (Thales' Theorem, the first in geometry) so we can be assured SRU, STU, RUT and RST are right angles.

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If (x+5) is a factor of 3x^2+14x+k, what is the value of k?

kherson [118]

If (x+5) is a factor the equation will equal zero when x=-5 so

3(-5^2)+14(-5)+k=0

75-70+k=0

5+k=0

k=-5

7 0

4 years ago

What does x equal in this equation x−9.37+5.77=1.3x

avanturin [10]

Answer:

-12

Step-by-step explanation:

x-9.37+5.77=1.3x

8 0

3 years ago

3. Last year, the numbers of skateboards produced per day at a certain factory were normally distributed with a mean of 20,500 s

Oxana [17]

Let x be a random variable representing the number of skateboards produced
a.) P(x ≤ 20,555) = P(z ≤ (20,555 - 20,500)/55) = P(z ≤ 1) = 0.84134 = 84.1%

b.) P(x ≥ 20,610) = P(z ≥ (20,610 - 20,500)/55) = P(z ≥ 2) = 1 - P(z < 2) = 1 - 0.97725 = 0.02275 = 2.3%

c.) P(x ≤ 20,445) = P(z ≤ (20,445 - 20,500)/55) = P(z ≤ -1) = 1 - P(z ≤ 1) = 1 - 0.84134 = 0.15866 = 15.9%

4 0

3 years ago

Krutika and Gavin have played 41 tennis matches.

Neko [114]

Answer:

P(Kritika)= 27/41

P(Gavin)=1-(27/41)

= (41-27)/41

=14/41

5 0

3 years ago

2. Write the slope-intercept form of the equation for each graph described. Line passing through (-5, 12) and parallel to the li

Nostrana [21]

Answer: y = 2x+22

========================================================

Explanation:

The equation y = 2x+5 is in the form y = mx+b

m = 2 = slope

b = 5 = y intercept

Parallel lines have equal slopes, but different y intercepts. So the answer will be in the form y = 2x+c, where b and c are different numbers. Since b = 5, this means c must be some other number. If c = 5, then we'd have the exact same line.

Let's plug in (x,y) = (-5,12), along with the slope m = 2, and solve for c

y = mx+c

12 = 2(-5)+c

12 = -10+c

12+10 = c

22 = c

c = 22

Since m = 2 and c = 22, we go from y = mx+c to y = 2x+22

The equation of the parallel line is y = 2x+22

The graph is below.

7 0

3 years ago