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4 years ago

12

How many and what type of solutions does the equation have?2c^2 = 16c − 32a. two nonreal solutionsb. one rational solutionc. two

rational solutionsd. two irrational solutions?

1 answer:

AnnZ [28]4 years ago

4 0

C² =16c-32
c²+16c-32=0
(c-4)²=0
c-4 =0
c-4 +4 =0+4
c = 4
b. one rational solution

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Please help me!! I'm not good at math ✌

Bezzdna [24]

I believe these are the answers.
A
i) (y=5) x=6
ii) (y = -1) x=0
iii) (y = -2) x = -1
B
i) (x = -4) y = -5
ii) (x=2) y=1
iii) (x=5) y=4
Sorry if these are wrong but I hope the help.

6 0

3 years ago

The profit, P, realized by a company varies directly as the number of products it sells. If a company makes a profit of $7800 on

Vikki [24]

Answer:

C) 120,000

Step-by-step explanation:

Let's use fractions.

7800 = x

---------- -------- . 325 5000 What we are going to do is multiply 325 times x and 7800 times 5000 . 7800 times 5000 equals 39,000,000. 325 times x equals 325x. The reason why we put the info this way is because we are trying to find the profit for a certain number of products . If we were trying the number of products we would put 5000 on top and the x on the bottom of the fraction the n croos multiply but this is not the case.

39,000,000 = 325x

----------------- --------

325 325

Next, we are going to divide 325 on both sides to get x ( in this case x equals the answer) by itself.

39,000,000 /325 = 120,000

325x / 325 = x

x = 120,000

4 0

3 years ago

3. The area of a rectangular deck, in square meters, is given by the polynomial 40p2 + 24p.

lorasvet [3.4K]

Answer:

Length = 5p + 3

Perimeter = 26p + 6

Step-by-step explanation:

Given

Area = 40p² + 24p

Width = 8p

Solving for the length of deck

Given that the deck is rectangular in shape.

The area will be calculated as thus;

Area = Length * Width

Substitute 40p² + 24p and 8p for Area and Width respectively

The formula becomes

40p² + 24p = Length * 8p

Factorize both sides

p(40p + 24) = Length * 8 * p

Divide both sides by P

40p + 24 = Length * 8

Factorize both sides, again

8(5p + 3) = Length * 8

Multiply both sides by ⅛

⅛ * 8(5p + 3) = Length * 8 * ⅛

5p + 3 = Length

Length = 5p + 3

Solving for the perimeter of the deck

The perimeter of the deck is calculated as thus

Perimeter = 2(Length + Width)

Substitute 5p + 3 and 8p for Length and Width, respectively.

Perimeter = 2(5p + 3 + 8p)

Perimeter = 2(5p + 8p + 3)

Perimeter = 2(13p + 3)

Open bracket

Perimeter = 2 * 13p + 2 * 3

Perimeter = 26p + 6

4 0

4 years ago

A. Using a protractor, draw a triangle that has two angles of 40°. Label all angle measures on your drawing and include your dra

PtichkaEL [24]

Answer:

Step-by-step explanation:

By terms of angle based conclusion triangle can be Obtuse angled triangle and by considering the sides as all angles are different It will be Scalene Triangle.

Step-by-step explanation:

Given:

Two angles of 40 degree

To Find :

How many triangles are possible Construct the triangle with given condition and Describe it.

Solution:

For Construction ,

Consider Triangle ABC with

∠A+∠B=40

So for 1st possibility as ∠A=10 then ∠B=30

2nd possibility as ∠A=20 then ∠B=20

3rd Possibility as ∠A=30 then ∠B =10

And angle c will remain the same for all three possibility i.e

Sum of all angles in triangle is 180

so angle c=140 degrees.

Hence there 3 Possibilities by which triangles can be made

So both angle A and B are acute angle since they measure less than 90 degree.

And angle C is Obtuse angle always

So angles in triangles are 2 acute and one Obtuse angle.

So One angle is Obtuse then triangle is Obtuse angled triangle

So triangle ABC is Obtuse angled triangle.

we can say that all three side will be different as all angles are different measures

So Triangle ABC is scalene triangle.

hope this helps =)

7 0

3 years ago

makvit [3.9K]

Answer:

New line =3*ZX

Step-by-step explanation:

It is given that the isosceles trapezoid is dilated using a scale factor of 1/3

and a line is drawn through the center of the new dilated figure, so

let us suppose that line is EF which is drawn and it will also pass through

the center in similar way the line ZX passes through so after considering this situation, we can come to this point

$\text{new Line EF}=\frac{ZX}{1/3} \\EF=3*ZX$

so new line will be 3 times longer than ZX.

3 0

3 years ago