Which properties were used to solve the following problem?

Mathematics

1 answer:

Stels [109]3 years ago

5 0

Step-by-step explanation:

25(2x) + 25(3y)

25 · (2 · x) + 25 · (3 · y)

(25 · 2) · x + (25 · 3) · y <em>Associative property </em><em>(a · b) · c = a · (b · c)</em>

(25 · 2)x + (25 · 3)y

(2 · 25)x + (3 · 25)y <em>Commutative property</em><em> a · b = b · a</em>

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X and y intercepts of y=3x-6

Slav-nsk [51]

Answer:

x intercept=2, y intercept= -6

Step-by-step explanation:

X Intercept is when the graph crosses the X Axis, point of intersection. To find it, just convert into standard form and solve for x by getting rid of y.

The Y-intercept is where the line crosses the y-axis, point of intersection. It is the constant in the slope-intercept form.

5 0

3 years ago

Read 2 more answers

The 2 main support rods for a barbeque grill are each 7.5 cm from the centre of the

sukhopar [10]

Answer:

58.1 cm

Step-by-step explanation:

The length of each support rod can be found using the Pythagorean theorem. The geometry can be modeled by a right triangle, such that the distance from centre is one leg and half the length of the rod is the other leg of a triangle with hypotenuse equal to the radius of the grill.

<h3>Pythagorean theorem</h3>

The theorem tells us that the sum of the squares of the legs of a right triangle is the square of the hypotenuse. For legs a, b and hypotenuse c, this is ...

c² = a² +b²

<h3>application</h3>

For the geometry of the grill, we can define a=7.5 and c=30. Then b will be half the length of the support rod.

30² = 7.5 +b²

b² = 900 -56.25 = 843.75

b = √843.75 ≈ 29.0473

The length of each support rod is twice this value, so ...

rod length = 2b = 2(29.0473) = 58.0947

Each support rod is about 58.1 cm long.