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3 years ago

Create a trinomial that can be factored and write it in standard form.

Mathematics

1 answer:

soldi70 [24.7K]3 years ago

8 0

The standard form is ax2 + bx + c = 0.)

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A builder was building a fence. In the morning, he worked for 25 of an hour. In the afternoon, he worked for 910 of an hour. How

Furkat [3]

9514 1404 393

Answer:

(9/10)/(2/5) = ratio of work times

2 1/4 times as long

Step-by-step explanation:

Given:

2/5 hours work in the morning

9/10 hours work in the afternoon

Find:

an equation for how many times as long was afternoon work compared to morning work

the equation solution

Solution:

a/m = r . . . . ratio of afternoon work to morning work

(9/10)/(2/5) = r . . . equation

(9/10)/(4/10) = r

9/4 = r = 2 1/4 . . . solution

The builder worked 2 1/4 times as long in the afternoon as in the morning.

8 0

2 years ago

How many 1/2’s are in 5 and 3/4’s

vekshin1

Answer:

11 and a 1/2

Step-by-step explanation:

I'm not sure if this is correct but here is my reasoning....

per every 1 there are two 1/2's so multiply 5x2 to get 10.

next, 1/2 is equivelent to 2/4 so subtract 3/4-2/4 (adding another 1/2 to our previous answer of 10 to get 11) and you have 1/4 left.

lastly, since 1/4 is half of 1/2, add 1/2 to 11 to get the final answer of 11 and a 1/2.

there are 11 and a half 1/2's in 5 and 3/4.

7 0

3 years ago

the isoceles triangle has a base that measures 14 units.the value of y, the length of each leg, must be

Lerok [7]

Answer:

greater than 7

Step-by-step explanation:

5 0

3 years ago

Suppose A = {2,5,7,9,13, 25, 26). (a) Find n(A). n(A) = (b) T/F: 7. A

charle [14.2K]

Answer:

a) n (A) = 7

Step-by-step explanation:

Here, set A = {2,5,7,9,13, 25, 26)

Noe, for any set A,

n (A) is defined as he total number of elements in the set A.

or, n(A) = CARNALITY OF SET A

Here,the number of elements in set A = 7

⇒ n (A) = 7

6 0

3 years ago

Use separation of variables to solve dy dx − tan x = y2 tan x with y(0) = √3. Find the value of c in radians, not degrees

a_sh-v [17]

Answer:

$y(x)=tan(-log(cos(x))+\frac{\pi }{3} )$

Step-by-step explanation:

Rewrite the equation as:

$\frac{dy(x)}{dx}-tan(x)=y(x)^{2} *tan(x)$

Isolating $\frac{dy}{dx}$

$\frac{dy}{dx} =tan(x)+tan(x)*y^{2}$

Factor:

$\frac{dy}{dx} =tan(x)*(1+y^{2} )$

Dividing both sides by $(1+y^{2} )$ and multiplying them by $dx$

$\frac{dy}{1+y^{2} } =tan(x)dx$

Integrate both sides:

$\int\ \frac{dy}{1+y^{2} } = \int\ tan(x) dx$

Evaluate the integrals:

$arctan(y)=-log(cos(x))+C_1$

Solving for y:

$y(x)=tan(-log(cos(x))+C_1)$

Evaluating the initial condition:

$y(0)=\sqrt{3} =tan(-log(cos(0))+C_1)=tan(-log(1)+C_1)=tan(0+C_1)$

$\sqrt{3} =tan(C_1)\\arctan(\sqrt{3} )=C_1\\60=C_1$

Converting 60 degrees to radians:

$60degrees*\frac{\pi }{180degrees} =\frac{\pi }{3}$

Replacing $C_1$ in the diferential equation solution:

$y(x)=tan(-log(cos(x))+\frac{\pi }{3} )$

3 0

2 years ago