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ad-work [718]
3 years ago
13

A) Graph the following two lines on the same rectangular coordinate system. Show all your working. You need to use the slope-int

ercept method.
Graph A: 3x+2y=12 Graph B: 4x-y=5
B) Mark the point intersection of the two graphs M, and give coordinates.
C) What is the difference in units between the Y-coordinates of Graph A and Y-coordinates of Graph B?
E) Draw the graph x-=6 on the same set of axes. At which point does this line cut Graph A?

Mathematics
1 answer:
Oksanka [162]3 years ago
8 0
Graph a.

3x+2y=12
-3x -3x

2y=-3x+12
2/2y=(3x+12)/2

y=-1.5x+6

graph b.

4x-y=5
+y +y

4x=y+5
-5 -5

4x-5=y

c) 11 units is the difference between y-coordinates of graph a and y-coordinates of graph b.

e) at (6,-3) x=6 cuts into graph a

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PQR is a right-angled triangle. PQ = 16 cm. PR = 8 cm. Calculate the length of
vlada-n [284]
SOLUTION:

PQR is a right-angle triangle.

Therefore, to solve this problem, we will use Pythagoras theorem which is only applicable to right-angle triangles.

Pythagoras theorem is as displayed below:

a^2 + b^2 = c^2

Where c = hypotenuse of right-angle triangle

Where a and b = other two sides of right-angle triangle

Now we will simply substitute the values from the problem into Pythagoras theorem in order to obtain the length of QR.

c = PQ = 16cm

a = PR = 8cm

b = QR = ?

a^2 + b^2 = c^2

( 8 )^2 + b^2 = ( 16 )^2

64 + b^2 = 256

b^2 = 256 - 64

b^2 = 192

b = square root of ( 192 )

b = 13.8564...

b = 13.86 ( to 2 decimal places )

FINAL ANSWER:

Therefore, the length of QR is 13.86 centimetres to 2 decimal places.

Hope this helps! :)
Have a lovely day! <3
8 0
3 years ago
PLEASE HELP GEOMETRY QUESTION
tino4ka555 [31]

Answer:

Step-by-step explanation:

8 0
2 years ago
If ab and cd are congruent what is the measure of
sweet-ann [11.9K]

Answer:

25°

Step-by-step explanation:

the arcs are congruent, and the radii are the same length, as it would be from any other point in a circle. this means that the angle must be the same.

5 0
3 years ago
Simplify: (x - 8) (x + 8) *
padilas [110]

Step-by-step explanation:

(x - 8) (x + 8) = x² - 64

because

x² + 8x - 8x - 64

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that is the definition of a negative exponent. it means 1/...

3 0
2 years ago
Write an expression that is equivalent to 4n – 12 + 8y + (-3n).
Dimas [21]
It would be 1n - 12 + 8y.
4n - 3n = 1n
12 + 8y don’t mix so we can leave it.
Therefore: 1n - 12 + 8y
7 0
3 years ago
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