1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
makkiz [27]
4 years ago
7

Factorise these please someone thanks

Mathematics
1 answer:
Katyanochek1 [597]4 years ago
6 0

Answer:

12.

a.

i. (x-9)(x-3)

ii. x = 9 or 3

b. (y+10(y-10)

Step-by-step explanation:

12.

a.

i.

Two numbers that multiply to make 27 and add to make -12 are: -9 and -3.

Put into brackets so you have: (x-9)(x-3)

ii.

Consider each bracket as its own equation.

x-9=0

x=9

x-3=0

x=3

b.

Difference of two squares

You might be interested in
In the right triangle shown in the diagram below,
adelina 88 [10]

QUESTION :-

what is the value of x to the nearest whole number?

ANSWER :-

\cos( \theta)  =   \frac{base}{hypotenuse}  \\  \cos(30)  =  \frac{x}{24}  \\  \frac{ \sqrt{3} }{ \cancel2}  =  \frac{x}{ \cancel{24}}  =  \frac{x}{12}  \\ 1.732 =  \frac{x}{12}  \\ 12 \times 1.732 = x \\ x = 20.7

SO

the nearest whole number-->

20.7 --> approximately --> 21 units

5 0
3 years ago
Which answer is the approximate standard deviation of the data set?
Anna35 [415]

Answer:

3.4

Step-by-step explanation:

Standard deviation of a population is defined as:

σ² = ∑(xᵢ − μ)² / n

The standard deviation of a sample is defined as:

s² = ∑(xᵢ − x)² / (n - 1)

It's not clear which one we have, so let's calculate both.

First, we must find the mean.

μ = (5+12+15+10+12+6+8+8) / 8

μ = 9.5

Now we find the squares of the differences:

(5-9.5)² + (12-9.5)² + (15-9.5)² + (10-9.5)² + (12-9.5)² + (6-9.5)² + (8-9.5)² + (8-9.5)²

= 80

Divide by n:

σ² = 80 / 8

σ² = 10

And take the square root:

σ = √10

σ ≈ 3.2

That's not one of the answers, so let's try the standard deviation of a sample instead of a population.

Instead of dividing by n, we'll divide by n-1:

s² = 80 / 7

And take the square root:

s = √(80/7)

s ≈ 3.4

So that must be it.

6 0
4 years ago
Reg is visiting the united states and needs to convert 2,000 rupees to US dollars
Georgia [21]

Answer:

27.3 dollars

Step-by-step explanation:

8 0
3 years ago
Graph y = x2 + 2. Identify the vertex of the graph. Tell whether it is a minimum or maximum. (0, 2); maximum (0, 2); minimum (2,
miskamm [114]

Answer:

(0,2); minimum

Step-by-step explanation:

Given:

The function is, y=x^{2}+2

The given function represent a parabola and can be expressed in vertex form as:

y=(x-0)^{2}+2

The vertex form of a parabola is y=(x-h)^{2}+k, where, (h,k) is the vertex.

So, the vertex is (0,2).

In order to graph the given parabola, we find some points on it.

Let x=-2,y=(-2)^{2}+2=4+2=6

x=-1,y=(-1)^{2}+2=1+2=3

x=0,y=(0)^{2}+2=0+2=2

x=2,y=(2)^{2}+2=4+2=6

x=1,y=(1)^{2}+2=1+2=3

So, the points are (-2,6),(-1,3),(0,2),(1,3),(2,6).

Mark these points on the graph and join them using a smooth curve.

The graph is shown below.

From the graph, we conclude that at the vertex (0,2), it is minimum.

8 0
3 years ago
How do I do this????
olga_2 [115]

Answer:The formula is P=2 L=2 W or V= L x W X H

Step-by-step explanation:

3 0
4 years ago
Other questions:
  • Help with 12 ASAP!! Hehkehkyegykegktkbetkbwtkwvtkhtekethkhwtktbw I don’t understand!!
    14·1 answer
  • In still water Kevin and Virginia can paddle a canoe at 12mph.It takes them a total of 6hours to paddle 32 miles up a river and
    13·1 answer
  • Woodland Bicycles makes two models of off-road bicycles: the Explorer, which sells for $250, and the Grande Expedition, which se
    11·2 answers
  • Which is the mode of this data set?<br><br> 55, 78, 43, 39, 78, 61, 75, 50, 43, 78
    13·1 answer
  • You set up monthly recurring payments of $110.03, $45.66, and $22.87. How much will your recurring payments total over one year?
    14·2 answers
  • How do I find the intervals when it's set up as a fraction?
    7·1 answer
  • The mean height of a certain kind of plant is 171 centimeters. Suppose we want to carry out a hypothesis test to see if the mean
    6·1 answer
  • Please give me the correct answer.Only answer if you're very good at math.Please don't put a link to a website.​
    5·2 answers
  • Simplify the expression.<br> 4r + (4; +3j) + 4r
    8·1 answer
  • Here is a graph of a quadratic function f(x). What is the minimum value (y-value only) of f(x)?
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!