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dimaraw [331]
3 years ago
8

Expand and simplify (x-4)(x-1)

Mathematics
2 answers:
andre [41]3 years ago
6 0

Step-by-step explanation:

(x - 4)(x - 1)

= x² - x - 4x + 4

= x² - 5x + 4.

ikadub [295]3 years ago
6 0

Answer:

\huge(x - 4)(x - 1) \\ \huge=  {x}^{2}  - x - 4x + 4  \\ \huge  =  {x}^{2}  - 5x + 4

<h2>(x^2-5x+4) is the right answer.</h2>
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Angle θ lies in the second quadrant, and sin θ = .
nata0808 [166]

Answer:

The coordinate axes divide the plane into four quadrants, labelled first, second, third and fourth as shown. Angles in the third quadrant, for example, lie between 180∘ and 270∘ &By considering the x- and y-coordinates of the point P as it lies in each of the four quadrants, we can identify the sign of each of the trigonometric ratios in a given quadrant. These are summarised in the following diagrams.  &In the module Further trigonometry (Year 10), we saw that we could relate the sine and cosine of an angle in the second, third or fourth quadrant to that of a related angle in the first quadrant. The method is very similar to that outlined in the previous section for angles in the second quadrant.

We will find the trigonometric ratios for the angle 210∘, which lies in the third quadrant. In this quadrant, the sine and cosine ratios are negative and the tangent ratio is positive.

To find the sine and cosine of 210∘, we locate the corresponding point P in the third quadrant. The coordinates of P are (cos210∘,sin210∘). The angle POQ is 30∘ and is called the related angle for 210∘.

Step-by-step explanation:

6 0
3 years ago
If you see these clouds in the sky, which type of weather might you expect?
UNO [17]
The answer to your question is thunderstorms.
The picture is filled with a lot of dark clouds, in which there will be a probability for thunderstorms to occur. We all know that when there is lightning, thunder will occur after it. With the photo given, there will be the probability of thunderstorm with heavy rain.
6 0
3 years ago
Kristen lives directly east of the park. The football field is directly south of the park. The library sits on the line formed b
klemol [59]

Imagine right triangle PHF, where P - park, H - home and F - football field, then PH, PF are legs and HF is hypotenuse . Denote point L to be library. You know that point L lies on the segment FH and FL=8, LH=2. Also you know that PL is an altitude to the hypotenuse.

Use the property of altitude drawn from the vertex of right angle to the hypotenuse (the length of the altitude is geometrical mean between legs' projections onto hypotenuse):

PL=\sqrt{HL\cdot LF},\\  PL=\sqrt{2\cdot 8}=\sqrt{16} =4 mi.

This means that the distance between park and libriry is 4 miles.

Consider right triangle PLF ( angle L is right angle and PF - hypotenuse). By the Pythagorean theorem,

PF^2=PL^2+LF^2,\\ PF^2=4^2+8^2,\\ PF^2=16+64=80,\\ PF=\sqrt{80} =4\sqrt{5} mi. The distance between park and football field is 4\sqrt{5} miles.

Answer: the distance between park and libriry is 4 miles and the distance between park and football field is 4\sqrt{5} miles.

6 0
3 years ago
In Ms.Williams class, 60% of the students are boys. There are 18 boys in the class. ha is the total number of students in Ms.Wil
aalyn [17]

Answer:

The total amount of students in the class would be 30. The total amount of girls would be 12.

Step-by-step explanation:

60% * x = 18

(60/100) * x = 18

6x/10 = 186x = 18 * 10

6x = 180x = 180/6   = 30

The total number of students in the class is 30.

Number of girls in the class = 30 - 18 = 12

So there are 12 girls in the class.

5 0
4 years ago
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mafiozo [28]
The third one is the answer
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