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Elan Coil [88]
4 years ago
9

Given the coordinates for the function below, which of the following are

Mathematics
1 answer:
lianna [129]4 years ago
4 0

Answer:

g(x) = 0.8x  gal/dollar

Step-by-step explanation:

This is a direct relation, each gallon costs 1.25, 20 gal. costs 25.00, etc.

so

f(x) = 1.25x  where x = number of gal.  f(x) is the cost

The inverse relation is the reciprocal,

for each $1.00, we can buy 1/1.25 = 0.8 gal.

or

g(x) = 0.8x  where x = amount, g(x) is number of gallons

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Point B is a point of tangency. Find the radius r of OC.<br> А 9<br> B<br> r<br> n
insens350 [35]

Answer:

Radius, r, is 3.75

Step-by-step explanation:

From the given diagram,

AB = 9

AC = 6 + r

BC = r

Thus applying the Pythagoras theorem, we have;

/AC/^{2} = /AB/^{2} + /BC/^{2}

(6 + r)^{2} = 9^{2} + r^{2}

36 + 12r + r^{2} = 81 + r^{2}

collecting like terms,

12r = 81 - 36

12r = 45

r = \frac{25}{12}

   = 3.75

r = 3.75

The radius is 3.75.

3 0
3 years ago
What is the slope of the line whose equation is 12=4x−6y?
Damm [24]

Answer:

slope =4

Step-by-step explanation:

from, y=mx + c

where m is slope

8 0
3 years ago
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If the perimeter of a square is 68 feet, find the approximate length of its diagonal.A. 17 feet B. 24 feet C. 38 feet D.
Elanso [62]

Find the side length:

Side = 68/4 = 17

Now use Pythagorean theorem:

Diagonal = sqrt(17^2 + 17^2)

Diagonal = sqrt(289 + 289)

Diagonal = sqrt(578)

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The answer is B. 24 feet

8 0
3 years ago
Which of the following absolute value equations has no solutions?Group of answer choices
Amiraneli [1.4K]

The absolute value measures the distance a number is away from the origin (zero) on the number line. A number can be to the left or right of zero on the number line, but the distance away from zero is always positive. Graphically:

In other words:

• If d is positive and

\begin{gathered} |x|=d \\ \text{ then} \\ x=d\text{ or }x=-d \end{gathered}

• If d is negative and

\begin{gathered} |x|=-d \\ \text{then} \\ \text{ No solution, because distance (d) can not be negative.} \end{gathered}

Therefore, the equation that has no solutions is:

\boldsymbol{|x|=-3}

3 0
1 year ago
Need the answer to 2. 3. 7. 8. please help! Really confused on how to do this.
Oduvanchick [21]
2. \overline{SV}||\overline{TU} (this is given in the first sentence)

3. \angle XSV\cong\angle XUT and \angle XVS\cong\angle XTU due to ...

7. ... the alternate interior angles theorem (which holds because \overline{ST} and \overline{TU} are parallel)

8. Because the above establishes that \Delta SXT\cong\Delta UXV, which means \overline{ST}||\overline{UV}, which in turn means VUTS is a parallelogram.
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