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3 years ago

Please help me. The question is in the image.

Mathematics

2 answers:

Fiesta28 [93]3 years ago

6 0

Answer:

x = 16

Step-by-step explanation:

(whole secant) x (external part) = (tangent)^2

(x+2) *2 = 6^2

2(x+2) = 36

Divide by 2

x+2 = 18

Subtract 2

x = 18-2

x = 16

raketka [301]3 years ago

3 0

Answer:

x = 16

Step-by-step explanation:

6^2 = 2(2+x) (Tangent Secant Product)

36 = 4 + 2x

32 = 2x

x = 16

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A girl has 98 beads, and all but 14 were lost. how many beads did she loose?

castortr0y [4]

Answer:

84 beads

Step-by-step explanation:

She had 98 beads and lost all but fourteen. So it would be 98 - 14 which would get you 84 beads that the girl has lost

8 0

4 years ago

What is the standard form of this equation y=6x+13

Phoenix [80]

Answer:

- 6x + y = 13

Step-by-step explanation:

The standard form is:

ax + by = c

Convert the given into standard form:

y = 6x + 13
- 6x + y = 13

4 0

3 years ago

What's the answer to this question

frutty [35]

Step-by-step explanation:

there are several things to be considered to solve this.

the strategy is to caucuses the volume of the full "box", and then to deduct the 3-dimensional triangle that is "cut off" from the oil.

then we know the volume of the pool.

next step is to calculate the volume of a "box" with the same layout but is only 20 cm deep.

then we know how much volume can be pumped out in 30 minutes.

and then we divide the whole volume by that small volume to see how many 30-minues units are needed to empty the whole pool.

and then we transform the 30- minutes units into actual minutes or hours.

so, let's begin :

the whole box's volume is

2×1×1.4 = 2.8 m³

the volume of the 3-D triangle we need to subtract is the area of the triangle × width of the pool (this pool width is the height of the 3-D triangle).

2×(1.4 - 0.6) × 1 / 2 = 2×0.8 × 1 / 2 = 1.6/2 = 0.8 m³

so, the volume of the pool is

2.8 - 0.8 = 2 m³

now, how much volume can the pump eliminate in 30 minutes ?

the content of a box

1×2×0.2 = 0.4 m³

as 20 cm = 0.2 m

so, the pump pumps out 0.4 m³ in 30 minutes.

and we need to empty 2 m³.

that means we need

2 / 0.4 = 5

30-minues units = 5×30 = 150 minutes = 2.5 hours.

Colin has to wait 2.5 hours (150 minutes) to empty the complete pool.

6 0

3 years ago

What is the slope of the line that passes through (-2,7) and (4, 9)?

fredd [130]

Answer:

Step-by-step explanation:

(9 - 7)/(4 + 2) = 2/6 = 1/3 is the slope of the line

4 0

3 years ago

Company ABC produces widgets. They have found that the cost, c (x), of making x widgets is a quadratic function in terms of x. T

Dahasolnce [82]

The given function is a quadratic equation. Any quadratic equation can be written in the form :

$C(x)=ax^{2}+bx+c$

The given points can be taken as (2,23) ,(4,55) and(10,247)

We form three equations with the given points

For point (2,23 ) the equation is

23 = 4a + 2b + c

For point (4,55) the equation is

55 = 16a + 4b + c

For point (10,247) the equation is:

247 = 100a+10b+c.

Solving the three equations for a,b,c we have :

32 = 12a + 2b

16 = 6a + b

and,

192 = 84 a + 6b

32 = 14a + b

Solving for a,b,c we have:

a=2 b=4 c=7

The quadratic equation is c(x)= $2x^{2}+4x+7.$

When x=8

c(x)= $2(8)^{2}+4(8)+7= 167.$ ]

Option C. $167 is the right answer.

8 0

3 years ago

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