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andrezito
1 month ago
5

A circle is centered at the point (-7, -1) and passes through the point (8, 7).The radius of the circle is____ units. The point

(-15,___ ) lies on this circle.
( Fill in the blanks)

Mathematics
1 answer:
AnnZ [12.3K]1 month ago
8 0
Part 1) The radius of the circle is r=17 units. Part 2) The points (-15,14) and (-15,-16) are situated on this circle. Step-by-step explanation: Step 1 Find the radius of the circle. We know that the distance from the center of the circle to any point on its circumference equals the radius of the circle. The formula to determine the distance between two points is equal to......we have (-7, -1) and (8, 7) substitute... Step 2 Determine the y-coordinate of point (-15,y). The standard form of the circle's equation is given by... where (h,k) represents the center, and r is the radius. Replace the values, substituting x=-15 in the equation... square root both sides... ultimately, we find two solutions: point (-15,14) and point (-15,-16) refer to the attached figure for a clearer understanding of the problem.
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In Andrew’s Furniture Shop, he builds bookshelves and tables. Each type of furniture takes him about the same time to make. He f
babunello [11817]
A. The order in which you define the variables isn't fixed. For the sake of this discussion, let's define them like this:

x = Number of bookshelves
y = Number of tables

B. Due to the total number of items to produce, we have the following inequality based on those variables.

x + y > 25

Additionally, you can create a second inequality concerning your budget for materials.

20x + 45y < 675

Moreover, you should also add that both values must not be negative, since you can't produce negative tables.

C. By analyzing the constraints and solving the system, you will find that the feasible region contains 4 vertices.

(0,0)
(18, 7)
(0, 15)
(33.75, 0) or (33, 0) if you prefer to round it. 
8 0
1 month ago
If we collect experimental data on alcohol consumption from the same 100 individuals before and then after a course on the dange
zzz [12365]

Answer: D) randomized comparative design

Step-by-step explanation:

A randomized comparative design involves comparing two or more treatments and is characterized by an experiment intended to highlight differences between two groups or populations subjected to distinct conditions or treatments. In the scenario described, pre-existing data was juxtaposed with information collected after the alcohol dangers course.

5 0
2 months ago
Zaid has a peculiar pair of four-sided dice. When he rolls the dice, the probability of any particular outcome is proportional t
AnnZ [12381]

Answer:   a) \bold{\dfrac{3}{16}}     b) \bold{\dfrac{1}{36}}

Step-by-step explanation:

a) To achieve an even total, there are 3 possible combinations:

1) Even, Even, Even, Even     \dfrac{3\times 3\times 3\times 3}{6^4} \quad = \dfrac{3^4}{6^4}\quad =\dfrac{1}{16}

2) Even, Even, Odd, Odd   \dfrac{3\times 3\times 3\times 3}{6^4} \quad = \dfrac{3^4}{6^4}\quad =\dfrac{1}{16}

3) Odd, Odd, Odd, Odd   \dfrac{3\times 3\times 3\times 3}{6^4} \quad = \dfrac{3^4}{6^4}\quad =\dfrac{1}{16}

Order is irrelevant

Summing these yields your final result: \dfrac{1}{16}+\dfrac{1}{16}+\dfrac{1}{16}\quad =\large\boxed{\dfrac{3}{16}}

b) If one die shows a 2 and another a 3, while the remaining two can show any digits, there’s only one way to get a 2, one way for a 3, and six potential numbers for each of the other two dice.

\dfrac{1\times 1\times 6\times 6}{6^4}\quad =\dfrac{1}{6^2}\quad =\large\boxed{\dfrac{1}{36}}

3 0
2 months ago
The function f(x)=-x^2-2x+15 is shown on the graph. What are the domain and range of the function?
PIT_PIT [12445]

Réponse:

Le domaine est l'ensemble des nombres réels

y ≤ 16

Explication étape par étape:

Le domaine est l'ensemble des valeurs x que le graphe couvre. Il n'y a aucune restriction sur les valeurs x. Le domaine est l'ensemble des nombres réels.

La plage est l'ensemble des valeurs y que le graphe couvre. Les valeurs y atteignent au maximum 16 au sommet de la parabole. Ainsi, la plage est y ≤ 16.

3 0
1 month ago
Read 2 more answers
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