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yuradex [85]
2 years ago
13

Marcy's breakfast table has a square top

Mathematics
2 answers:
andrew11 [14]2 years ago
7 0

Answer:

scroll

Step-by-step explanation:

√36 = 6

a^2 + b^2 = c^2

6^2 + 6^2 = c^2  

36 + 36 = c^2

72 = c^2  

√72 = c    

6√2 = c  

6√2 = V

(Estimate rounded = 8.49)

Mrrafil [7]2 years ago
5 0
Answer: 6

As your figure is a square all sides must be the same so it would be 6 squared which comes out to 36
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Write the equation in slope-intercept form through the point (-4, -7) and is perpendicular to the line y = -(7/4)x + 4 and graph
Scilla [17]

You have to write the equation for a line that crosses the point (-4, -7) and is perpendicular to the line

y=-\frac{7}{4}x+4

When you have to determine a line that is perpendicular to a known line, you have to keep in mind that the slope of the perpendicular line will be the negative inverse of the first one.

If for exampla you have two lines, the first one being:

y_1=mx+b

And the second one, that is perpedicular to the one above:

y_2=nx+c

The slope of the second one is the negative inverse of the first one:

n=-\frac{1}{m}

The slope of the given line y=-7/4+4 is m=-7/4

So the slope of the perpendicular line has to ve the inverse negative of -7/4

\begin{gathered} n=-(-\frac{4}{7}) \\ n=\frac{4}{7} \end{gathered}

Considering it has to pass through the point (-4,-7) and that we already determined its slope, you can unse the point slope formula to determine the equation of the perpendicular line:

y-y_1=m(x-x_1)

replace with the coordinates of the point and the slope and calculate:

\begin{gathered} y-(-7)=\frac{4}{7}(x-(-4)) \\ y+7=\frac{4}{7}(x+4) \\ y+7=\frac{4}{7}x+\frac{16}{7} \end{gathered}

Subtract 7 to both sides of the equation to write it in slope-intercept form:

\begin{gathered} y+7-7=\frac{4}{7}x+\frac{16}{7}-7 \\ y=\frac{4}{7}x-\frac{33}{7} \end{gathered}

Now you can graph both lines

8 0
1 year ago
Triangle RST is shown. What is the y-coordinate of the final image of vertex T after the triangle is reflected over the x-axis f
gavmur [86]

Answer:

R¹(-7, -3) ,  S¹(-2, -1),  T¹(-5, 4)

Step-by-step explanation:

<u><em>Step(i):-</em></u>

From the graph, the points are R(-4,5), S(1,3),T(-2,-2)

First, the points are reflected over the x-axis then  transform in to

(x,y)→(x,-y)

R(-4,5)→R¹(-4,-5)

S(1,3)→S¹(1,-3)

T(-2,-2)→T¹(-2,2)

<u><em>Step(ii):-</em></u>

Next, The points are shifted to 3 units left then the transform

(x,y)→ (x -3 ,y)

R¹(-4,-5)→ R¹(-4-3, -5) → R¹(-7, -5)

S¹(1,-3)   →   S¹(1-3, -3) →  S¹(-2, -3)

T¹(-2,2)  →   T¹(-2-3, 2)→ T¹(-5, 2)

<u><em>Step(iii):-</em></u>

Now again the points are shifted to '2' units up then transform to

(x,y) )→ (x  ,y+2)

R¹(-7, -5+2) →  R¹(-7, -3)

 S¹(-2, -3+2) →  S¹(-2, -1)

 T¹(-5, 2+2)  →  T¹(-5, 4)

4 0
3 years ago
What is the distance between Point A: (-4, -3) and Point B (1, 4) ?
Sholpan [36]

Answer:

sq rt 74 which is approx 8.6

Step-by-step explanation:

use distance formula

6 0
3 years ago
Choose the correct graph of the function y= VX-2.
schepotkina [342]
Subscribe 2 ECLIPZZY on Yt
7 0
3 years ago
Find the sum of (6d+5)-(2-3d)
devlian [24]
I think you have to combine like terms to solve this one. (6d - 3d) + (5 - 2) = 3d + 3
7 0
3 years ago
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