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MakcuM [25]
2 years ago
9

Christian is training for a swimming competition He starts swimming 10 ft. from the shore to his boat The table below represents

the distance from the shore. f(z), as a function of time after z minutes of swimming.

Mathematics
2 answers:
ahrayia [7]2 years ago
8 0

Answer: it goes up by 60 each time

Step-by-step explanation:

Anna [14]2 years ago
6 0

Answer:

f(x) = 20x + 10

Step-by-step explanation:

(0 , 10) ; (3 , 70)

Slope = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}

          = \frac{70-10}{3-0}\\\\= \frac{60}{3}\\\\= 20

y- intercept = 10

f(x) = mx + c

     = 20x + 10

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X^2 + Y^2 +ax + 2y + 3 = 0<br><br> What number is this equation the equation of a circle?
Sav [38]

Answer:

Eq: (x+a/2)²+(y+1)²=(a²-8)/4

Center: O(-a/2, -1)

Radius: r=0.5×sqrt(a²-8)

Mandatory: a>2×sqrt(2)

Step-by-step explanation:

The circle with center in O(xo,yo) and radius r has the equation:

(x-xo)²+(y-yo)²=r²

We have:

x²+y²+ax+2y+3=0

But: x²+ax=x²+2(a/2)x+a²/4-a²/4= (x+a/2)²-a²/4

And

y²+2y+3=y²+2y+1+2=(y+1)²+2

Replacing, we get:

(x+a/2)²-a²/4+(y+1)²+2=0

(x+a/2)²+(y+1)²=a²/4-2=(a²-8)/4

By visual inspection we note that:

- center of circle: O(-a/2, -1)

- radius: r=sqrt((a²-8)/4)=0.5×sqrt(a²-8). This means a²>8 or a>2×sqrt(2)

6 0
3 years ago
At a conference, there are 121 math teachers and 11 science teachers. Write the ratio of math teachers to science teachers in si
scoundrel [369]

Answer:

It is A: 11 to 1 :)

It's true!

(edited my answer btw, you have to simply also welp)

7 0
3 years ago
Read 2 more answers
Indicate the answer choice that best completes the statemer
Troyanec [42]

Answer:

25

Step-by-step explanation:

-25 to 0 is 25 and 25 to 0 is 25

Opposite of -25 is 25

So lettter d

7 0
3 years ago
The doubling time of a population of flies is 4 hours. By what factor does the population increase in 24 hours
olga_2 [115]
The doubling time of a population of flies is 4 hours. By what factor does the population increase in 24 hours

6 0
3 years ago
Read 2 more answers
(-10) - |(-20) – (+30) |
myrzilka [38]

ANSWER: -60

EXPLANATION: To solve for (-10) - |(-20) – (+30) |, we need to do:

−10−| −20 − 30|, which equals −10−|−50|. Next, we do −10−50, which is -60.

−10−|−20−30|

= −10−|−50|

= −10−50

= −60

6 0
2 years ago
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