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Snowcat [4.5K]
3 years ago
7

Find the value of x, rounded to the nearest tenth.

Mathematics
1 answer:
Ludmilka [50]3 years ago
5 0

Answer:

<h2>4</h2>

Step-by-step explanation:

When two secants of a circle intersects at an exterior points, their sides segments product are proportional, that is

3 \times  8 = x \times 6\\\frac{24}{6}=x\\ x=4

Therefore, the right answer is the third choice.

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Using the pythagorean theorem, calculate the length of the missing sides (c1, c2, c3)​
katrin [286]

Answer:

the Pythagorean theorem states:  a^2 + b^2 = c^2  

1) in this case a=18 and b1=25

18^2 + 25^2 = c1^2  

324 + 625 = c1^2

949 = c1^2

√949 = c1

cca. 30.8 = c1

2) in this case a=18 and b' = b2 - b1 = 40 - 25 = 15

in the picture im attaching i highlighted the triangles we are working with, and there you can clearly see that b' (the horizontal line at the bottom of the red tr.) is the difference between the lines b2 and b1

now you can use the same technique as in the first case, and the final answer will be cca. 23.4 = c2

3) in this case a=18 and b'' = b4 - b3 = 75 - 55 = 20

same thing as number 2, final answer cca. 26.9 = c3

4 0
3 years ago
Find the hourly wage $70 for 9 hours<br><br> $71<br> $7.78<br> $17.78<br> $10.12
muminat
<span> $70 / 9 = $7.78

answer
</span><span>$7.78 hourly</span>
7 0
4 years ago
Read 2 more answers
If 170% of a number is 680, what is 50% of the number
Bumek [7]

Answer:

200

Step-by-step explanation:

170% of x = 680

Set up an equation:

170/100 • x/1 = 680

1.7 • x = 680

1.7x = 680

x = 400

50% of 400

1/2 • 400 = 200

8 0
4 years ago
What is the minimum percentage of gasoline stations that had prices between $3.37 and $3.61
Nata [24]

We'll get started on that as soon as you share the whole
table of other information that goes with that question.


3 0
4 years ago
Help with those three please!!
Scilla [17]

Answer:

Part 1) Option A. The axis of symmetry is x=4

Part 2) Option C. minimum

Part 3) Option A. (4,-4)

Part 4) Option B. (2,0) and (6,0)

Step-by-step explanation:

we have

f(x)=x^{2}-8x+12

Part 1) What is the axis of symmetry of the parabola described by the equation above?

we know that

The equation above is a vertical parabola open upward

The axis of symmetry is the x-coordinate of the vertex

Find the vertex of the parabola (convert the equation in vertex form)

f(x)-12=x^{2}-8x

f(x)-12+16=x^{2}-8x+16

f(x)+4=x^{2}-8x+16

f(x)+4=(x-4)^{2}

f(x)=(x-4)^{2}-4 ----> equation in vertex form

The vertex of the parabola is (4,-4)

so

The axis of symmetry is x=4

Part 2) The vertex of the equation above is also

we know that

The equation above is a vertical parabola open upward

therefore

The vertex is a minimum

Part 3) What is the vertex of the parabola described by the equation above

we know that

The equation of the parabola into vertex form is equal to

f(x)=(x-4)^{2}-4

therefore

The vertex of the parabola is (4,-4)

Part 4) What are the  x-intercepts of the parabola described by the equation above

we know that

The x-intercepts are the values of x when the value of y is equal to zero

so

f(x)+4=(x-4)^{2}

f)x)=0

so

4=(x-4)^{2}

take square root both sides

(x-4)=(+/-)2

x=4(+/-)2

x=4(+)2=6

x=4(-)2=2

therefore

The x-intercepts are

(2,0) and (6,0)

7 0
3 years ago
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