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swat32
2 years ago
6

A line segment has endpoints at (–4, –6) and (–6, 4). Which reflection will produce an image with endpoints at (4, –6) and (6, 4

)?

Mathematics
2 answers:
Natasha2012 [34]2 years ago
7 0
Reflection on the -x axis
Musya8 [376]2 years ago
3 0

Answer:

Reflection on x - axis.

Step-by-step explanation:

A line segment has two endpoints at A ( -4, -6 ) and B ( -6, 4 ).

Here point A lies in third quadrant and B lies in second quadrant.

Now we have to find the kind of reflection was done so that new points became A' (4, -6) and B' (6, 4)

a' is lying in fourth and B' is in first quadrant.

Therefore, segment AB which is parallel to y axis when reflected on x-axis, became A' B'.

So reflection about y-axis is the answer.

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It is 4.7 km from Lighthouse A to Port B. The bearing of the port from the lighthouse is N73°E. A ship has sailed due west from
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Answer:

correct option is  C. 3.7 km

Step-by-step explanation:

given data

A to Port B = 4.7 km

lighthouse = N73°E

lighthouse = N31°E

solution

we get here first  \angle B and  

here

\angle A = 90 - 73 = 17°

\angle B =  73 - 31 = 42°

and

sum of all angle 180° so

\angle A +  

17° + 42° +  \angle C = 180°  

solve it we get

\angle C = 121°

Now we use here sin law that is

\frac{b}{sinB} = \frac{c}{sinC}   ........................2

put here value and we get

\frac{b}{sin42} = \frac{4.7}{sin121}  

solve it we get

b = 3,7 km

so correct option is  C. 3.7 km

7 0
2 years ago
How much profit was generated by the sales of gold label and black label combined?
blsea [12.9K]

The<u> profit</u> genereted  by the <u>sales of gold label and black label combined</u> is <u>the sum</u> of the profits generated by the sales of gold label and of the profits generated by the sales of black label.

1. From the table

\begin{array}{ccc}&\text{Number of bottles sold}&\text{Average profit (per bottle)}\\\text{Gold label}&1,000&\$2.75\end{array}

you can find the profits generated by the sales of gold label:

1,000\cdot \$2.75=\$2,750.

2. From the table

\begin{array}{ccc}&\text{Number of bottles sold}&\text{Average profit (per bottle)}\\\text{Black label}&2,000&\$1.50\end{array}

you can find the profits generated by the sales of black label:

2,000\cdot \$1.50=\$3,000.

In total

\$2,750+\$3,000=\$5,750.

Answer: correct option 5

8 0
2 years ago
Read 2 more answers
erin has $50. she wants to purchase a cell phone ($20) and spend the rest in music cds each cd costs $8. write an inepuality for
HACTEHA [7]
She can buy 3 because 50-20=30  30/8=3.75 so u round down cause you don't have enough money to buy 4
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2 years ago
In order to produce 100 oatmeal cookies, Goodie Cookie Co. incurs an average total cost of $0.25 per cookie. The company’s margi
amm1812

Answer:

Option D : $20

Step-by-step explanation:

The average total cost to produce 100 oatmeal cookie = $0.25 per cookie.

So, total cost for 100 cookies will be = 0.25\times100=25 dollars

The company’s marginal cost is constant at $0.10 for all oatmeal cookies produced.

When 50 cookies are produced, the marginal cost will be = 0.10\times50=5dollars

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8 0
2 years ago
A fish tank is three-quarters (3/4) full. two-thirds (2/3) of the water leaks out, leaving 10 gallons of water in the tank. what
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To solve this problem, all we have to do is to thoroughly analyze the situation step by step.

First let us work on the remaining 10 gallons of water in the tank. We are given that 2 / 3 of the water initially in the tank leaked out. Therefore this means that we are left with 1 / 3 the original amount of water which is 10 gallons, hence:

(1 / 3) Vi = 10 gallons

where Vi is the initial volume of water inside the tank, calculating for Vi:

Vi = 3 (10 gallons)

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We are also given that this initial volume of water is just 3 / 4 of the total capacity of the tank, therefore:

(3 / 4) Vc = Vi

where Vc is the volume capacity of the tank, calculating for Vc:

Vc = 4 Vi / 3

Vc = 4 (30 gallons) / 3

Vc = 40 gallons

 

Answer:

<span>Capacity of the fish tank is 40 gallons</span>

3 0
2 years ago
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