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Burka [1]
3 years ago
13

Help i’m timed pllzzzzz

Mathematics
1 answer:
zhannawk [14.2K]3 years ago
7 0

Answer:

a = p*q\\b = (p*s)+(q*r)\\c = r*s

Step-by-step explanation:

The standard form of trinomial is given as:

ax^2+bx+c

And the factored form is:

(px+r)(qx+s)

In order to find the values of a,b and c in terms of p,q,r and s we will take the factored form, multiply it and then compare it with the standard form.

So,

(px+r)(qx+s)\\=px(qx+s)+r(qx+s)\\= pqx^2+psx+qrx+rs\\= pqx^2+(ps+qr)x+rs

Now comparing it with the standard form of trinomial

We will compare the co-efficients of x^2, x and the constant

By comparing, we get

a = pq = p*q\\b = ps+qr = (p*s)+(q*r)\\c = rs = r*s

Hence,

a = p*q\\b = (p*s)+(q*r)\\c = r*s

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5+2 root 3 / 7+4 root 3 =a-6root3
STALIN [3.7K]

Answer:

<h2>a = 11</h2>

Step-by-step explanation:

\dfrac{5+2\sqrt3}{7+4\sqrt3}\qquad\text{use}\ (a+b)(a-b)=a^2-b^2\\\\=\dfrac{5+2\sqrt3}{7+4\sqrt3}\cdot\dfrac{7-4\sqrt3}{7-4\sqrt3}=\dfrac{(5+2\sqrt3)(7-4\sqrt3)}{7^2-(4\sqrt3)^2}\qquad\text{use FOIL}\\\\=\dfrac{(5)(7)+(5)(-4\sqrt3)+(2\sqrt3)(7)+(2\sqrt3)(-4\sqrt3)}{49-4^2(\sqrt3)^2}\\\\=\dfrac{35-20\sqrt3+14\sqrt3-8(3)}{49-(16)(3)}=\dfrac{(35-24)+(-20\sqrt3+14\sqrt3)}{49-48}\\\\=\dfrac{11-6\sqrt3}{1}=11-6\sqrt3

8 0
3 years ago
Karma's brother was born
torisob [31]

Answer:

Basically just add 12 to the hour that you want

Step-by-step explanation:

I'm honestly not sure what you're asking...

but if it was 13 min after 8pm, then it would be 20:13

if it was 18 min after 8pm, then it would be 20:18

6 0
3 years ago
Pls answer A,B,and C. Pls tell me the correct answer for each part and explain how you got the answer.(step by step)
Nady [450]
A). The area of the shaded triangle is 64cm. This is because the formula for the area of a triangle is (b x h) / 2, and the base of this triangle is 16, and the height is 8. So, 16 x 8 is 128, and 128 / 2 = 64. The area is 64cm.
B). The area of each white triangle is 32cm because we can see that the two white triangles is equal to half of the shaded triangle, so we can take the base of the shaded triangle and divide it in two. Then we can use the formula for the area of a triangle and solve for the area: (b x h) / 2 = (8 x 8) / 2 = 32. The area of one of the white triangles is 32cm.
C). Since we have solved for the area of each of the triangles, we can add up all of these individual areas to get the area for the rectangle: White triangle + white triangle + shaded triangle = 32 + 32 + 64, which is equal to 128cm, the area of the rectangle.
4 0
3 years ago
A line through which two points would be parallel to a line with a slope of 3/4?
irga5000 [103]

Answer:

F. (0, 5) and (-4, 2)

Step-by-step explanation:

We need to calculate the slope of each of the given sets of points until we find the set associated with a slope of 3/4:

F. (0,5) and (-4,2)  As we go from (-4, 2) to (0,5), x increases by 4 and y increases by 3, so the slope is m = rise / run = 3/4.  This is the line with slope 3/4.

6 0
3 years ago
Find the population density of a city with an area of 598 square miles and a population of 21,500 people.
Pie

Answer: 35.12\text{ persons per square mile}

Step-by-step explanation:

Given: The area of a city = 598 square miles

The population of city = 21,500 people.

The population density for a city is given by :-

\text{Population density }=\frac{\text{Number of people }}{\text{Land area}}\\\\\Rightarrow\ \text{Population density }=\frac{21000}{598}\\\\\Rightarrow\ \text{Population density }=35.11705\approx35.12\text{ persons per square mile}

Hence, the population density of a city  = 35.12\text{ persons per square mile}

3 0
3 years ago
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