1. Christina drew a scale model of an Olympic-size swimming pool using a

Ok don’t worry this is a very easy topic
It falls under “gradients of a straight line”
I’ll try my best to explain the question but u can find plenty of videos online (Fuse School or Cognito) explaining the topic in detail.

Gradient means slope or how steep a line is.
To find the gradient we use the formula

(Change in y) / (change in x)

*Step 1*
Choose any two coordinates (exact) of the line from the graph

For line 1 let’s take
(2,4) (-3,4)
Now from this
the change in y= (4-4) = 0
the change in x = (-3-2) = -5
So the gradient = 0/-5 = 0

*Now this makes sense because a straight horizontal line has no slope and thus has a gradient of zero. So even without all the calculation we can figure this out easily.

Now for line 2 let’s take the coordinates:
(-3,1) (-3,3)

The change in y= (3-1) = 2
The change in x = (-3- -3) = 0
So gradient = 2/0 = “Undefined”

*The gradient of vertical straight line is always undefined (no gradient)*
*The gradient of horizontal straight lines is always 0*

Hope this helped and best of luck for your exams!

3 0

3 years ago

Find the value of x, y, and z in the parallelogram below.

ANEK [815]

Answer:

X= 67

Y= 121

Z= 80

Step-by-step explanation:

To find Y:

(y-9) and 112 are congruent so

y-9=112

y=121

To find Z: (consecutive)

180=121+z+3

180=124+z (combine like terms)

subtract 124 to cancel and move to other side of equation

z= 80

To find X: (consecutive)

180=112+x+1

180=113+x (combine like terms)

subtract 113 to cancel out and move to their side of equation

x = 67

5 0

2 years ago

Two sides of a triangle measure 10 inches and 10.9 inches. The included angle between these sides is 65°. What is the approximat

fenix001 [56]

Answer:

9.9inches

Step-by-step explanation:

From the attachment, the opposite side is debited as "x" while the Hypotenuse is 10.9inches, we can find the third side by using trigonometry

From trigonometry, Sin(x)= opposite/Hypotenuse

Sin(65)=X/10.9

X= Sin(65) ×10.9

X=0.9063×10.9

=9.8688

Hence the third side of the triangle is approximately 9.9inches

CHECK THE ATTACHMENT FOR THE TRIANGLE

6 0

3 years ago

Step by step -5x-y=12 x+y=4 -6x+9y=11

romanna [79]

Answer:

1. x = -12+y / 5 , y = -12-5x

2. x = 4 - y , y = 4 - x

3. x = -11 - 9y / 6 , y = 11 + 6x / 9

( for the numbers in fractions such as the x value for #1 and x & y value for #3, put the negative sign in front of the fraction, not the number okay? )

Step-by-step explanation:

-5x - y = 12

---> -5x - y = 12 -5x - y = 12

= -5x - y = 12 = +5x +5x

+y +y ---------------------

--------------------- -y = 12 + 5x

-5x = 12 + y /-1 /-1

/-5 /-5 ----------------------

--------------------- y = -12-5x

x = -12+y / 5

-------------------------------------------------------------------------------------------

x + y = 4

---> x + y = 4 x + y = 4

= -y -y = -x -x

--------------------- ----------------

x = 4 - y y = 4 - x

--------------------------------------------------------------------------------------------

-6x + 9y = 11

-----> -6x + 9y = 11 -6x + 9y = 11

= -9y -9y = +6x +6x

------------------------------ ------------------------

-6x = 11 - 9y 9y = 11 + 6x

/-6 /-6 /9 /9

------------------------------- --------------------------

x = -11 - 9y / 6 y = 11 + 6x / 9

7 0

3 years ago

You are a carpenter and have a 3\16 inch piece of wood and a 5/16 inch piece of wood.If you glue the pieces together,what is the

Troyanec [42]

5/16 + 3/16 = 8/16 (Denominator is the same) 8/16 16 is divisible by 8 so answer is 1/2

5 0

3 years ago

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