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3 years ago

The graph of g(x) = x - hl+k is shown on the coordinate grid. What must be true about the signs of h and k

Mathematics

2 answers:

zalisa [80]3 years ago

8 0

Answer:

Option: The sign of h must be negative, and the sign of k must be positive.

stealth61 [152]3 years ago

3 0

Answer:

D.The sign of h must be negative and the signal of k must be positive *it’s for sure the answer

Step-by-step explanation:

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What is the length of AB? O A. 9 O B. 18 O C. 48 D. 6

insens350 [35]

<h3>Answer: A. 9</h3>

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

Explanation:

Draw in the segments AO and OC.

Triangle ABO is congruent to triangle CBO. We can prove this through the use of the HL theorem. HL stands for hypotenuse leg.

Since the triangles are congruent, this means the corresponding pieces AB and BC are the same length.

Then we can say:

AB+BC = AC .... segment addition postulate

AB+AB = AC .... plug in BC = AB

2*AB = AC

2*AB = 18

AB = 18/2 .... divide both sides by 2

AB = 9

In short, the chord AC is bisected by the perpendicular radius drawn in the diagram. So all we do is cut AC = 18 in half to get AB = 9.

6 0

2 years ago

Read 2 more answers

What is the measure of Zx?

Tatiana [17]

Answer:

x = 145

Step-by-step explanation:

x and 35 are adjacent angles and are supplementary, sum to 180° , then

x + 35 = 180 ( subtract 35 from both sides )

x = 145

6 0

2 years ago

Sheila, janice, and katen, working together at the same rate, can complete a job in 3 1/3 days. Working at the same rate, how mu

pychu [463]

Answer:

Janice and Karen could do in 1 day:

20% of the job.

Step-by-step explanation:

To identify how much of the job could janice and caren do in 1 day, first, we must find how much of the job make just 1 person at the same rate:

If three persons make a job in 3 1/3 days, 1 person make the job in x:

3 persons ⇒ 3 1/3 days or 10/3 days
1 person ⇒ x

Then:

$x=\frac{1 person*\frac{10}{3}days }{3 persons}$ (we cancel the unit "persons")
$x=\frac{\frac{10}{3}days }{3}$
x = 10 days

Just a person would need 10 days to complete a job, now, we're gonna divide this value in 2 to obtain the time that need two persons to complete a job:

Time to complete a job between 2 persons = $\frac{10}{2}days$
Time to complete a job between 2 persons = 5 days

How two persons need 5 days to complete a job (in this case, the two persons are Janice and Karen), we can make a simple rule of three to obtain the percentage made in 1 day: