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3 years ago

Which line contains the point (1, -3)?

Mathematics

1 answer:

xz_007 [3.2K]3 years ago

4 0

Answer:

Step-by-step explanation:

Put the values of x = 1 and y = -3 to the equations of a line and check the equality:

1. 4x - y = 7

4(1) - (-3) = 4 + 3 = 7 CORRECT

2. 2x + 5y = 4

2(1) + 5(-3) = 2 - 15 = -13 ≠ 7

3. 7x - y = 15

7(1) - (-3) = 7 + 3 = 10 ≠ 15

4. x + 5y = 21

1 + 5(-3) = 1 - 15 = -14 ≠ 21

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kherson [118]

The answer is the first one 125

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3 years ago

Based on the drawing, Which can be used to prove PQR ≅ STV?

natta225 [31]

Answer:

Option (2) is correct.

Based on the drawing, SAS can be used to prove PQR ≅ STV

Step-by-step explanation:

We have to find the criterion by which the two given triangle can be prove similar from the given options.

Consider, the given triangles from the drawing given

ΔPQR and ΔSTV,

PR = VS (Given)

∠QRP = ∠TVS ( Given)

and, QR = TV (given)

Thus, PQR ≅ STV ( SAS CRITERION)

For SAS criterion , we need to show that two sides and the angle between those sides are equal .

Thus, option (2) is correct.

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3 years ago

The Haynes family is building an addition to their house that includes a new

elixir [45]

Answer:

Part A

$A_{t}=22(12+w)$

Applying Distributive property: $A_{t}=264+22w$

Part B

$A_{t}=660\ ft^2$

Step-by-step explanation:

 Attached is the model that belongs to this exercise (The model was missing)

The formula for calculate the area of a rectangle is:

$A=lw$

Where "l" is the lenght and "w" is the width.

Part A

Notice that the dimensions of the new bathroom are:

$l=22\ ft\\w=12\ ft$

We do not know the width of the new bathroom, but we know that both rooms will have the same length. Knowing this, we can write an expression for the total area of both rooms by using the Distributive Property:

$A_{t}=22(12+w)$

Applying Distributive property:

$A_{t}=264+22w$

Part B

If the width of the bedroom is 18 feet, you need to substitute this value into the expression $A_{t}=264+22w$ in order to find the total square footage of the two rooms:

$A_{t}=264+22w\\\\A_{t}=660\ ft^2$

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3 years ago

The number 1254 is divisible by all of the following, except?

Mashutka [201]

The answer should be 5

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3 years ago

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