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LekaFEV [45]
3 years ago
14

Can someone pls tell me how to do this?

Mathematics
1 answer:
gizmo_the_mogwai [7]3 years ago
3 0
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!
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Factorise x^2+11x+18
Semenov [28]

Answer:

(x + 9)(x + 2 )

Step-by-step explanation:

Sum =11

Product = 18

Factors = 9 , 2

When you multiply (9*2 = 18) and when you add (9 +2 = 11).

x² + 11x + 18 = x² + 9x + 2x + (9*2)

                   =x(x + 9) + 2(x + 9)

                  = (x + 9)(x + 2 )

4 0
3 years ago
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verbally explain how to obtain the graph of the quadratic function f(x)=-2(x+3)^2-4 from the graph of y=x^2.
Ksivusya [100]

Answer:

The graph f(x)=-2(x+3)^2-4 is a reflection over the x-axis, vertical stretch by a factor of 2, a horizontal translation left 3 units and a vertical translation 4 units down of the graph y=x^2.

Step-by-step explanation:

The graph f(x) is reflected over the x-axis because the negative is outside of the parenthesis.

it's a vertical stretch by a factor of 2 because 2 is outside of the parenthesis and is greater than 1.

(x+3) is a horizontal translation left 3 units because it is inside the parenthesis.

-4 is vertical translation 4 units down because it is outside of the parenthesis.

7 0
3 years ago
Round 5.955 to the nearest tenth.
I am Lyosha [343]

Answer:

6.

Step-by-step explanation:

To round 5.955 to the nearest tenth consider the hundredths’ value of 5.955, which is 5 and equal or more than 5. Therefore, the tenths value of 5.955 increases by 1 to 0.

6 0
3 years ago
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Each of the letters in the word APPLE is on separate cards, face down on the table. If you pick a card at random, what is the pr
Lina20 [59]
Probability =

         (number of possible ways to succeed)
divided by
         (total number of possible outcomes) .

Number of ways to succeed = 2  (pick the 'A' or the 'L')

Total number of possible outcomes = 5 (the cards on the table) .

Probability of success  =  2/5  =  40% .
5 0
3 years ago
Find all solutions to the equation sin2x+sinx-2cosx-1=0 in the interval [0, 2pi)
pshichka [43]
The solutions appear to be {π/2, 2π/3, 4π/3}.

_____
Replacing sin(2x) with 2sin(x)cos(x), you have
  2sin(x)cos(x) +sin(x) -2cos(x) -1 = 0
  sin(x)(2cos(x) +1) -(2cos(x) +1) = 0 . . . . factor by grouping
  (sin(x) -1)(2cos(x) +1) = 0

This has solutions
  sin(x) = 1
  x = π/2
and
  2cos(x) = -1
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  x = {2π/3, 4π/3}

6 0
3 years ago
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