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lilavasa [31]
3 years ago
14

Is x=-4 and y=3 a solution of the equation 2x -5y=-23

Mathematics
2 answers:
pishuonlain [190]3 years ago
7 0

Answer:

Yes

Step-by-step explanation:

First you pull them into the equation

2(-4)-5(3)=-23

Distribute

-8-15=-23

-23=-23

Mamont248 [21]3 years ago
4 0
Is x=-4 and y=3 a solution of the equation 2x -5y=-23

2x -5y=-23
2(-4) - 5(3) =-23
-8 - 15 = -23
-23 = -23

Therefore, x = 4 and y = 3 is a solution to 2x -5y=-23.

Hope that helps!
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If a line has a slope of 1/2 and a y-intercept of -6, what is the x-coordinate if the y-coordinate is 4
ivanzaharov [21]

Answer:

X=20. Our x coordinate is 20.

Step-by-step explanation:

Based from the given slope of 1/2 and a y-intercept of -6, our equation of a line is y=x/2 -6. To remove the fraction we can multiply the equation by 2 to get 2y=x-12. Using this substitute the value of y coordinate 4.

2(4)= x-12

8+12 =x

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7 0
4 years ago
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A school flag poll casts a 16 foot shadow on the lawn. A teacher stood at the shadows edge and measure the angle of elevation to
vovikov84 [41]

Answer:

30.1 feet.  

Step-by-step explanation:

We have been given that a school flag poll casts a 16 foot shadow on the lawn. A teacher stood at the shadows edge and measure the angle of elevation to the top of the poll at 62°. We are asked to find the height of the tall.

First of all, we will draw a diagram to represent our give scenario as shown in the attachment.

We can see that side length with 16 feet is adjacent side and height of the pole (h) is opposite side to angle of elevation.

We know that tangent relates opposite side of a right triangle to its adjacent side.

\text{tan}=\frac{\text{Opposite}}{\text{Adjacent}}

\text{tan}(62^{\circ})=\frac{h}{16}

h=16\cdot \text{tan}(62^{\circ})

h=16\cdot 1.880726465346

h=30.0916234\approx 30.1

Therefore, the poll is approximately 30.1 feet tall.

6 0
3 years ago
Can the triangles be proven similar by AA?
vekshin1

Answer:

No, similar triangles cannot contain a pair of parallel lines. Yes, because || . Yes, because ∠QUR ≅ ∠TUS (vertical angles) and ∠R ≅ ∠S (alternate interior angles).

Step-by-step explanation:

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A rope 40m long is used to form a rectangle. If the length of the rectangle formed is 4m longer than the width. Calculate the ar
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96 sq. m

Step-by-step explanation:

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3 years ago
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tatyana61 [14]
The answer is (4,-3.4)
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