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V125BC [204]
3 years ago
10

Find the equation of the line that contains the point (21,27) and is parallel to the x-axis.

Mathematics
1 answer:
Stells [14]3 years ago
8 0

Answer:

y - 27 = 0 (x - 21) or y = 27

Step-by-step explanation:

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Use the point-slope formula to write an equation of the line that passes through (-4, 4) and has a slope of m=0. Write the answe
Len [333]

Step-by-step explanation:

the point-slope form is

y - y1 = m(x - x1)

with (x1, y1) being a point on the line.

so, we have here

y - 4 = 0×(x - -4) = 0

therefore, the resulting equation (which is automatically in slope-intercept form) is

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2 years ago
Mark all true statements. Group of answer choices
laiz [17]

Answer:

True

False

Step-by-step explanation:

a) The first statement is the basis for Euclid's algorithm to compute the gcd of two nonnegative integers a,b. You can prove this as follows.

Let G=gcd(a,b). Since r=a-bq and G divides a and G divides b, then G divides r. Now, G divides a and G divides r, hence G divides gcd(b,r).

On the other hand, since a=bq+r, and gcd(b,r) divides b and r, then gcd(b,r) divides a. Therefore gcd(b,r) divides a and b, which implies that gcd(b,r) divides G.

x divides y and y divides x implies that |x|=|y|. The GCD's are nonnegative, therefore G=gcd(b,r).

b) It is false. In general, to test for primality of N, you have to check that all primes smaller than N do not divide N. In this case, we have to check for 2,3,5,7,11,13,17,19,23,...

101 is prime, but this may be false in general. For example, consider N=13*11=143. N is not prime, and n is not divisible by 2,3,5, or 7.

5 0
3 years ago
Helppp meee plssss
Volgvan

Answer:

  • Cost of fish = Php. 60, amount of fish = x kg
  • Cost of chicken = Php. 120, amount of chicken = y kg
  • Budget = at most Php. 1200

a) <u>Required inequality (not a system as only one condition is given):</u>

  • 60x + 120y ≤ 1200

<u>Simplified:</u>

  • x + 2y ≤ 20
  • <em>The graph is attached</em>

b) <u>Verify ordered pair (10, 7):</u>

  • 10 + 2*7 ≤ 20
  • 24 ≤ 20

False inequality, so this pair is out of solution set

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