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2 years ago

Pls help im new so pls can u help me Factorise x^2+18x+80

Mathematics

1 answer:

sergejj [24]2 years ago

5 0

Answer:

(x + 10)(x + 8)

Step-by-step explanation:

Given

x² + 18x + 80

Consider the factors of the constant term (+ 80) which sum to give the coefficient of the x- term (+ 18)

The factors are + 10 and + 8 , since

10 × 8 = + 80 and 10 + 8 = + 18 , then

x² + 18x + 80 = (x + 10)(x + 8) ← in factored form

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A vector with magnitude 9 points in a direction 190 degrees counterclockwise from the positive x axis. Write in component form

Over [174]

Answer:

$\vec{v}= \text{ or } \approx$

Step-by-step explanation:

Component form of a vector is given by $\vec{v}=$ , where $i$ represents change in x-value and $j$ represents change in y-value. The magnitude of a vector is correlated the Pythagorean Theorem. For vector $\vec{v}=$ , the magnitude is $||v||=\sqrt{i^2+j^2$ .

190 degrees counterclockwise from the positive x-axis is 10 degrees below the negative x-axis. We can then draw a right triangle 10 degrees below the horizontal with one leg being $i$ , one leg being $j$ , and the hypotenuse of the triangle being the magnitude of the vector, which is given as 9.

In any right triangle, the sine/sin of an angle is equal to its opposite side divided by the hypotenuse, or longest side, of the triangle.

Therefore, we have:

$\sin 10^{\circ}=\frac{j}{9},\\j=9\sin 10^{\circ}$

To find the other leg, $i$ , we can also use basic trigonometry for a right triangle. In right triangles only, the cosine/cos of an angle is equal to its adjacent side divided by the hypotenuse of the triangle. We get:

$\cos 10^{\circ}=\frac{i}{9},\\i=9\cos 10^{\circ}$

Verify that $(9\sin 10^{\circ})^2+(9\cos 10^{\circ})^2=9^2\:\checkmark$

Therefore, the component form of this vector is $\vec{v}=\boxed{}\approx \boxed{}$

6 0

3 years ago

If R is the midpoint of TS, TR = 5x - 12, and RS = 3x + 8, find TS.

GenaCL600 [577]

Answer:

5x -12 = 3x +8 (set the two = each other because they are the same length)

2x- 12= 8 (subtract 3x from both sides)

2x = 20 (add 12 to both sides)

x=10 (what x= for both expressions)

5(10) -12 (plug it into the first one to see what the length is and to see they're =

50 - 12 ( I already multiplied, now subtract)

38 (what the length of TR is)

3(10) +8 (plug it in again but into the other expression)

30+8 (multiply and add)

38 (the two have the same answer, so the x-value is correct.)

38+38= 76 (add the lengths of RS and TR and you get the length of TS)

Step-by-step explanation:

I hope this helps :)

6 0

2 years ago

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The qestion is the picture

lianna [129]

Answer:

-2/9

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

5) $250 TV on sale for 25% off, but need to include 7% tax

Fed [463]

Answer:

$200.63

Step-by-step explanation:

so i did 7% tax first than i took away 25% and got $200.63

Before Tax Price ($): 250

Tax Rate (%): 7
Final Price Including Tax ($): 267.5

Sale Tax($): 17.5
New price: $267.5
Discount percentage: 25%
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hoped this helped lmk if it did

3 0

3 years ago

PLEASE HELP MEEE!!!!

Tresset [83]

Answer:

I would say Inductive reasoning.

Step-by-step explanation:

Inductive reasoning is defined as "A method of reasoning in which a body of observations is synthesized to come up with a general principle." and this is exactly what the doctor did to come up with his diagnosis.

Hope this helps you out a bit.

4 0

2 years ago