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Llana [10]
3 years ago
15

Solve the equation for all real solutions in simplest form. 4y² - 5y-3 = 0

Mathematics
1 answer:
zheka24 [161]3 years ago
8 0

Answer:

y = 5 - \sqrt{x}73/8 = -0.443 or y = 5 + \sqrt{x}73/8 = 1.693

Step-by-step explanation:

step 1: Equation

step 2: Trying to factor by splitting the middle term

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Answer:

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8 0
3 years ago
Please help me with this
Len [333]

Answer:

60 degrees

Step-by-step explanation:

To first solve this problem, we need to figure out the size of an interior angle for a regular hexagon.

This can be done with the formula :

angle = \frac{(n-2)*180}{n} , with n being the number of sides

A hexagon has 6 sides so here is how we would solve for the interior angle:

\frac{(6-2)*180}{6}=120 , with n= 6 sides

Now that we know that each interior angle in the hexagon is 120 degrees, we can now turn our attention to the rhombus.

The opposite angles of the rhombus are congruent, so the two larger obtuse angles are congruent, and so are the two smaller acute angles.

It is also important to note that a rhombus is a quadrilateral, so all of its interior angles add up to 360 degrees.

Looking at the rhombus, we already know one of the angles because it is shared by the interior angle of the hexagon, so the two larger angles in the rhombus are both 120 degrees.

But what about the smaller angles? All we need to do is subtract the two larger angles form 360 and divide by 2 to find the angle.

\frac{360-2(120)}{2} = 60 , so the smaller angle in the rhombus is 60 degrees.

Now that we know both the interior angle and smaller angle of the rhombus, we can find x.

Together, angle x and the angle adjacent to it makes up an interior angle of the hexagon, so x plus that angle is going to equal to 120 degrees.

All we need to do is solve for x:

x+60=120

x=120-60

x = 60 degrees

3 0
3 years ago
Factor the polynomial 8x² − 24x − 224 completely. help now!
IgorLugansk [536]

Answer:

8 ( x  −  7 )  ( x  +  4 )

Step-by-step explanation:

7 0
3 years ago
Beverley has quarters and dimes in her pocket. She has 21 coins with a total value of $3.00. How many of each type of coin does
forsale [732]

Answer:

6 quarters and 15 dimes

Step-by-step explanation:

6 quarters = $1.50

15 dimes = $1.50

6 quarters + 15 dimes = $3.00

8 0
3 years ago
Set up a linear system and solve.
liubo4ka [24]

Answer:

The two integers are 23 and 12

Step-by-step explanation:

Let the two integers be f and g

Let f be the biggest and g the smallest integer

From the first statement, the sum of the two integers is 35 i.e

f + g = 35. (1)

From second statement, we were told that when the smaller integer is subtracted from twice the larger, the result is 34 i.e

2f — g = 34. (2)

Now we'll solve by elimination method as follows:

Add equation (2) and (1) together:

2f — g = 34

+ f + g = 35

3f = 69

Divide both side by the coefficient of f i.e 3

f = 69/3

f = 23

Substituting the value of f into equation(1)

f + g = 35

23 + g = 35

Collect like terms

g = 35 — 23

g = 12

The two integers are 23 and 12

4 0
3 years ago
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