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3 years ago

7

Factor completely 5y²-2y-3

1 answer:

Vlada [557]3 years ago

7 0

$5y^2-2y-3 = 0\\(5y+3)(y-1)=0\\$

Good day and hoped that helped!

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Find the value of X,Y and Z

Alex

Answer:

If sin y = sin 35, y≠35, what is the value of y? 2. If cos y = cos z = - cos 35, y≠z≠35, what are the values of y and z? 3. If sin y = sin x and x<90, y≠x, what is the value of y in terms of x? 4. If sin y = sin z = -sin x and x<90, y≠z≠x, what are the values of y and z in terms of x? 5. If cos y = cos x and x<90, y≠x, what are the value of y and z in terms of x? 6. If cos y = cos z = - cos x and x<90, y≠z≠x, what are the values of y and z in terms of x?

Step-by-step explanation:

Because I know

3 0

3 years ago

)The number of elements in power set {1, 2, 3} is<br> (a) 4<br> (b) 6<br> (c) 8<br> (d) 9

barxatty [35]

Answer:

<h2>(c) 8</h2>

Step-by-step explanation:

The number of elements in a power set = the number of subsets of a set

Formula:

Let S be a sent ,the number of elements of the power set of S =

$2^{\text{card(S)} }$

Where card(S) = number of element of S itself.

=======================================

In this case :

Card(S) = 3

Then

the number of elements of the power set of S =

$2^{3}=8$

5 0

3 years ago

This figure is made up of a quadrilateral and a semicircle.

Arturiano [62]

Answer:

The correct option is B. The area of the figure is 40.4 units².

Step-by-step explanation:

The line AB divides the figure in two parts one is a rectangle and another is semicircle.

The distance formula is

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

The length of AB is

$AB=\sqrt{(2+3)^2+(4-2)^2}=\sqrt{25+4}=\sqrt{29}$

The length of AD is

$AD=\sqrt{(-1+3)^2+(-3-2)^2}=\sqrt{4+25}=\sqrt{29}$

Since AB=AD, therefore ABCD is a square. The area of the of square is

$A_1=a\times a=\sqrt{29}\times \sqrt{29} =29$

The area of square is 29 units².

The area of a semicircle is

$A_2=\frac{\pi}{2}r^2$

Since AB is the diameter of the semicircle, therefore the radius of the semicircle is

$r=\frac{d}{2}=\frac{\sqrt{29}}{2}$

The area of the semicircle is

$A_2=\frac{3.14}{2}(\frac{\sqrt{29}}{2})^2=40.3825$

The area of the figure is

$A=A_1+A_2=29+11.2825=40.3825\approx 40.4$

Therefore the area of the figure is 40.4 units². Option B is correct.

5 0

4 years ago

Miles is planning to spend 2/3 as many hours Bicycling this week as he did last week is Miles going to spend more hours were few

Firlakuza [10]

Answer: Yes, He bicycled fewer in this week than last week.

Step-by-step explanation:

Let he bicycled x hours in the last week,

Then, According to the question,

$\text{ He bicycled in this week} = \frac{2}{3} \text{ of the hours he bicycled last week} = \frac{2x}{3}$

$\text{ Since, }1 > \frac{2}{3}$

$\implies x > \frac{2x}{3}$

$\text{ He bicycled in the last week} > \text{ he bicycled in this week}$

Hence, He bicycled fewer in this week than last week.

3 0

3 years ago

The sum of two times a number and 11 is negative 7

slavikrds [6]

|2 • x| + 11 = -7
x = -9

4 0

4 years ago

Read 2 more answers