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4 years ago

Find the values of k that make 2x^2 + kx + 5 factorable.. . A.. 1 or 10. . B.. 2 or 5. . C.. 7 or 11. . D.. 1 or 5

Mathematics

2 answers:

Damm [24]4 years ago

4 0

Test them
1 doesn't work, so cross out A and D
2 doesn't work cross out B
answer is C

andreev551 [17]4 years ago

4 0

The third term of the quadratic equation, also called the constant, is the product of the roots of the equations. Among the choices, only letter D. 1 or 5, will give a product of 5. All the rest of the choices do not satisfy the condition.

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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

Sam is planting a garden that measures

nikitadnepr [17]

Answer:

63.7 feet

Step-by-step explanation:

We can re-write the width and the length both as rational numbers:

- Width: $w=6.5=\frac{65}{10}$

- Length: $L=9.8=\frac{98}{10}$

So now we can find the area of the garden by multiplying width and length:

$A=wL=\frac{65}{10}\cdot \frac{98}{10}=\frac{65\cdot 98}{10\cdot 10}=\frac{6370}{100}=63.7$

7 0

3 years ago

A 3 diget number is written on paper .what is the probliblity it starts with 3

attashe74 [19]

Show us a picture of it

8 0

3 years ago

The change in the value of an account when given to the nearest dollar ? Identify the set of numbers that best describes .

AveGali [126]

When an account is rounded off to its nearest dollar will change based on the place value. For example, the given account of money if $ 56 730, then it will be rounded to its nearest ten thousands. Then the given amount will be rounded to $57,000 in where the given money rounded up and gain up to $300. But if the money will be rounded with its nearest hundreds, the money will become $ 56,700. Notice that the given money rounded down and lost $30 dollars.

7 0

3 years ago

Answer the photo below thanks <br> Question: What is the value of x in the diagram.

kaheart [24]

Answer:

A. X = 30º

Step-by-step explanation:

The angle labeled x & the right angle are vertical angles to the one labeled 120º.

Therefore:

X + 90 = 120

Solve for x:

X + (90-90) = 120 - 90

X = 30

Hope this helps! Have a great day!

6 0

3 years ago