Solve the system of linear equations using substitution. Show work please

How many variables are in this equation: 2y + 5 = 5n

pickupchik [31]

Answer:

There are 2 variables in the equation. The variables are y and n

5 0

2 years ago

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Which is a rule that describes the translation of a point from (4, -8) to (7, -10)

krok68 [10]

Cº b. Points on the x-axis ( Y. 0)-7 (6 2C) are mapped to points. --IN- on the y-axis. ... Describe the transformation: 'Reflect A ALT if A(-5,-1), L(-3,-2), T(-3,2) by the rule (x, y) → (x + 3, y + 2), then reflect over the y-axis, (x,-1) → (−x,−y). A C-2. L (0.0 tº CD + ... translation of (x,y) → (x–4,y-3)? and moves from (3,-6) to (6,3), by how.

8 0

2 years ago

Javier has four cylindrical models. The heights, radii, and diagonals of the vertical cross-sections of the models are shown in

Ronch [10]

The model in which the lateral surface meets the base at right angle is : Model 1.

<h3>What is a lateral surface?</h3>

The lateral surface of an object is all surfaces of that object excluding its base and top.

Analysis:

To know the exact model, we check for the models in which their dimensions form a Pythagorean triplet otherwise a right-angled triangle.

For Pythagorean triplet, the square of the diagonal must be equal to the sum of squares of the other two sides.

Model 1

Diagonal = 50cm, radius = 14cm, lateral height = 48cm

$(50)^{2}$ = $(14)^{2}$ + $(48)^{2}$

2500 = 196 + 2304

2500 = 2500. Forms Pythagorean triplet

Model 2

Diagonal= 37cm, radius = 6cm lateral height = 35cm

$(37)^{2}$ = $(35)^{2}$ + $(6)^{2}$

1369 = 1225 +36

1369 $\neq$ 1261

Model 3

Diagonal = 60cm, radius = 20cm lateral height = 40cm

$(60)^{2}$ = $(20)^{2}$ + $(40)^{2}$

3600 = 400 + 1600

3600 $\neq$ 2000

Model 4

Diagonal = 30cm, radius = 24cm, lateral height = 9cm

$(30)^{2}$ = $(24)^{2}$ + $(9)^{2}$

900 = 576 + 81

900 $\neq$ 657

Therefore the lateral surface model 1 meets the base at right angle

In conclusion, the lateral surface of model 1 meets the base at right angles as the dimensions form a right-angled triangle.

Learn more about Pythagorean triplet: brainly.com/question/20894813

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5 0

1 year ago

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Calculate the size of θ in the given diagram ( see image). O is the center of the circle.

mariarad [96]

Answer:

∅ = 42°

Step-by-step explanation:

90 - 48 = 42° because 48 and 42 are complimentary angles (add up to 90°)

because the radii lines form an isosceles triangle, ∠∅ also = 42°

3 0

2 years ago

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A Store is having two sales on popcorn. The original price of the popcorn is $10 for 10 oz. Sale A offers you 33% more popcorn f

11111nata11111 [884]

Answer:

33% off is the better deal

Step-by-step explanation:

1.33 times as much popcorn for the same price is equivalent to 1/1.33 ≈ 0.75 times the price for the original amount of popcorn. That price is equivalent to a sale of 1 - 0.75 = 0.25 = 25% off.

The sale price of 33% off is a better deal (if you don't want the extra popcorn).

7 0

3 years ago