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Novay_Z [31]
3 years ago
5

Ni Hua is an adventurous traveler. He skydives twice in every island he visits and skydives thrice in every peninsula he visits.

In the last decade, Ni Hua went skydiving a total of 454545 times in the 191919 islands and peninsulas that he visited. How many islands and peninsulas did Ni Hua visit?
Mathematics
2 answers:
Anit [1.1K]3 years ago
6 0

Answer: He visited 12 island and 7 peninsulas.

Step-by-step explanation:

Let x be the number of island he visited and y be the number of peninsulas he visited,

Since, He visited 19 islands and peninsulas,

⇒ x + y = 19, ------(1)

Also, He went skydiving a total of 45 times in which he skydived twice in every island and skydived thrice in every peninsula,

⇒ 2x + 3y = 45 ------(2),

Equation (2) - 2 × Equation (1),

We get,

y = 45 - 38 = 7

By substituting this value in equation (1),

We get, x = 12

Hence, He visited 12 island and 7 peninsulas.

solniwko [45]3 years ago
3 0
Let x and y be islands and peninsulas respectively
x+y=191919
2x+3y=454545

y = 191919- x

2x + 3 (191919 - x) = 454545
2x + 575757 - 3x = 454545
2x-3x = 454545 - 575757
-x = -121212
x = 121212

121212 + y = 191919
y = 191919 - 121212
y = 70707

Ni Hua visited 121212 islands and 70707 peninsulas
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inessss [21]

Answer:

The Function rule for line is: \mathbf{y=-\frac{13}{5}x}

Option A is correct option.

Step-by-step explanation:

Find a function rule for the line that passes through the origin (0,0) and the point (5, - 13)

The function rule is of form: \mathbf{y=mx+b}

where m is slope and b is y-intercept

Finding slope:

The formula used to find slope is: Slope=\frac{y_2-y_1}{x_2-x_1}

We have x_1=0, y_1=0, x_2=5, y_2=-13

Putting values and finding slope

Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{-13-0}{5-0}\\Slope=\frac{-13}{5}\\Slope=-\frac{13}{5}

Finding y-intercept

We will use point(0,0) to find y-intercept

y=mx+b\\0=-\frac{13}{5}(0)+b\\0=0+b\\b=0

So, y-intercept is 0

The Function rule for line having slope m=-13/5 and y-intercept b=0:

y=mx+b\\y=-\frac{13}{5}x+0\\y=-\frac{13}{5}x

So, The Function rule for line is: \mathbf{y=-\frac{13}{5}x}

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3 years ago
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We can conclude that the complete factorization of x^{2} b^2-xb^2-6b^2 is b^2(x+2)(x-3).

PART 2. Here we just have a quadratic expression of the form a x^{2} +bx+c. To factor it, we are going to find <span>two numbers that will multiply to be equal the </span>c<span>, and will also add up to equal </span><span>b. Those numbers are 2 and 2:
</span>x^{2} +4x+4=(x+2)(x+2)
Since both factors are equal, we can factor the expression even more:
x^{2} +4x+4=(x+2)^2

We can conclude that the complete factorization of x^{2} +4x+4 is (x+2)^2.

PART C. Here we have a difference of squares. Notice that 4, can be written as 2^2, so we can rewrite our expression:
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