First, we determine that the given equation in this item is a linear equation. Thus, it should be a straight line. With this, we are left with the third and fourth choice. Then, we substitute the given data points to the equation and see if the points satisfy the given.

Choice 3:

(1,3) : (-5)(1) + (2)(3) = 1 TRUE

(3,8) : (-5)(3) + 2(8) = 1 TRUE

(-3,-7) : (-5)(-3) + (2)(-7) = 1 TRUE

Choice 4:

(4,-3) : (-5)(4) + (2)(-3) ≠ 1 FALSE

(-1,2) : (-5)(-1) + (2)(2) ≠ 1 FALSE

(-4,5) : (-5)(-4) + (2)(5) ≠ 1 FALSE

Thus, the answer is the third choice.

5 0

3 years ago

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In right triangle ABC, B = 51° and AB = 14. BC = _____

liq [111]

The final angle has an angle measure of 115 degrees.

4 0

3 years ago

Four friends are playing a game. They randomly choose a handful of marbles from a bag. The player with the highest ratio of blue

Monica [59]

We are given the number of Blue and Purple Marbles for each of the four friends. So first we have to find the ratio of blue marbles to purple marbles for each of them.

A) Rosa

Number of blue marbles = 10

Number of purple marbles = 12

Ratio of blue to purple marbles = $\frac{10}{12}=0.833$

B) Chi

Number of blue marbles = 5

Number of purple marbles = 6

Ratio of blue to purple marbles = $\frac{5}{6}=0.833$

C) Alberto

Number of blue marbles = 5

Number of purple marbles = 12

Ratio of blue to purple marbles = $\frac{5}{12}=0.417$

D) Pedro

Number of blue marbles = 10

Number of purple marbles = 6

Ratio of blue to purple marbles = $\frac{10}{6}=1.667$

From the above calculations we can see that Pedro has the highest value of ratio for blue marbles to purple marbles. Also we can see Pedro is the only one for whom the number of blue marbles is more than the number of purple marbles. So this confirms that our calculation is correct.

Thus, the player which gets to go first is Pedro.

4 0

3 years ago

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Find the 75th term of the following arithmetic sequence. 14, 22, 30, 38,

Charra [1.4K]

Answer:

Step-by-step explanation:

$a_1=14\\a_2=22\\\\d=a_2-a_1=22-14=8\\\\a_n=a_1+d(n-1)\\\\a_{75}=14+8(75-1)=14+8\cdot74=14+592=606$

7 0

3 years ago