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Elodia [21]
3 years ago
7

What is the equation of the line that passes through the point (-3,-4) and has a slope of 4?

Mathematics
1 answer:
lozanna [386]3 years ago
5 0
It would be c i think
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2x - 3y = -4 if x + 3y = 7
Anvisha [2.4K]
(2x-3y=-4)-2(x+3y=7)

2x-3y-2x-6y=-4-14

-9y=-18

y=2, making x+3y=7 become:

x+6=7

x=1

So the solution to the system of equations is the point (1,2)
4 0
3 years ago
Read 2 more answers
Please Help me with this Click to select the following graphic figure. A square circumscribed about a circle:
Sophie [7]

The answer would be the first image.

Step-by-step explanation:

From context, it appears that to be circumscribed is to be drawn about; thus the square circumscribed about the circle is the first graph.

3 0
3 years ago
What is the error due to using linear interpolation to estimate the value of sinxsin⁡x at x = \pi/3? your answer should have at
Bad White [126]
<h3>Answer:</h3>
  • using y = x, the error is about 0.1812
  • using y = (x -π/4 +1)/√2, the error is about 0.02620
<h3>Step-by-step explanation:</h3>

The actual value of sin(π/3) is (√3)/2 ≈ 0.86602540.

If the sine function is approximated by y=x (no error at x = 0), then the error at x=π/3 is ...

... x -sin(x) @ x=π/3

... π/3 -(√3)/2 ≈ 0.18117215 ≈ 0.1812

You know right away this is a bad approximation, because the approximate value is π/3 ≈ 1.04719755, a value greater than 1. The range of the sine function is [-1, 1] so there will be no values greater than 1.

___

If the sine function is approximated by y=(x+1-π/4)/√2 (no error at x=π/4), then the error at x=π/3 is ...

... (x+1-π/4)/√2 -sin(x) @ x=π/3

... (π/12 +1)/√2 -(√3)/2 ≈ 0.026201500 ≈ 0.02620

6 0
3 years ago
Which of the following statements could be used in the proof?
yulyashka [42]

Answer:

Option (3)

Step-by-step explanation:

To prove ΔULV ≅ ΔKLY,

                 Statements                    Reasons

1). VL ≅ LY                                1). Radii of a circle are equal

2). UL ≅ KL                              2). Radii of a circle are equal

3). ∠ULV ≅ ∠KLY                    3). Vertical angles are equal

4). ΔULV ≅ ΔKLY                    4). SAS property of congruence

Therefore, property (3) given in the options will be used to prove the triangles congruent.

5 0
3 years ago
What is the interest rate if a principal of $700 earns $196.00 in interest in seven years?
solniwko [45]

Answer:

4%

Step-by-step explanation:

To solve this problem we can use a modified version of the simple interest formula which is shown below:

r=\frac{I}{Pt}

<em>P = initial balance</em>

<em>I = interest</em>

<em>t = time</em>

<em />

Plug the values into the equation:

r=\frac{196}{(700)(7)}

r=.04

The last step is to convert 0.04 into a percent:

0.04(100) = 4

The interest rate is 4%.

6 0
3 years ago
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