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lesya [120]
4 years ago
5

The steps needed to find the slope

Mathematics
1 answer:
Degger [83]4 years ago
7 0
I hope this helps you




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Find the value of each expression using the given information cot∅=8, csc&lt;0<br> find sin ∅
Oksana_A [137]

9514 1404 393

Answer:

  sin(∅) = -√65/65

Step-by-step explanation:

The identities that relate the cotangent, the cosecant, and the sine are ...

  csc² = 1 +cot²

  sin = 1/csc

_____

For the given values, we find ...

  csc(∅)² = 1 +cot(∅)² = 1 +8² = 65

  csc(∅) = -√65 . . . . . . . . . . . . . . . . square root with attention to sign

  sin(∅) = -1/√65 = (-√65)/65

6 0
3 years ago
Solve the simultaneous equation y-2x+1=0 and 4x^2+3y^2-2xy=7
Lapatulllka [165]

The first equation is y-2x+1=0

y=2x-1 (Equation 1)

The second equation is 4x^{2}+3y^{2}-2xy=7 (Equation 2)

Putting the value of x from equation 1 in equation 2.

we get,

4x^{2}+3(2x-1)^{2}-2x(2x-1)=7

4x^{2}+3(4x^{2}+1-4x)-4x^{2}+2x=7

by simplifying the given equation,

12x^{2}-10x-4=0

6x^{2}-5x-2=0

Using discriminant formula,

D=b^{2}-4ac

D=25-4 \times 6 \times -2 = 73

Now the formula for solution 'x' of quadratic equation is given by:

x=\frac{-b+\sqrt{D}}{2a}  and  x=\frac{-b-\sqrt{D}}{2a}

x=\frac{5+\sqrt{73}}{12}  and x=\frac{5-\sqrt{73}}{12}

Hence, these are the required solutions.

8 0
3 years ago
If f(x) = |-3x - 61 - 10, find f(5)
german

Answer:

f(5)= -85

Step-by-step explanation:

f(x)= 1-3x-61-10

now,

f(5)= 1-3×5-61-10

=1-15-71

=--85

hope u want this..

3 0
3 years ago
Betty is baking cakes to sell slices in her bakery. Each cake has 8 slices. She carefully adds an icing design, using 1/3 cup of
vfiekz [6]

Answer: 12 cups

Step-by-step explanation:

Number of slices in a cake = 8 slices

Number of cups of icing used by each slice = 1/3

Number of cups of icing for each cake will then be:

= 1/3 × 8

= 8/3

= 2 2/3 cups of icing

If she plans to bake 4 1/2 cakes, the number of cups of icing will she use will be:

= 4 1/2 × 2 2/3

= 9/2 × 8/3

= 72/6

= 12 cups of icing

8 0
3 years ago
Kite ABCD has a longer diagonal AC with a length of 14 in. and a shorter diagonal BD with a length of 8 in. The diagonals inters
mash [69]
Hello,
The longer diagonal is an axis of symmetry of the  Kite.
So E is the middle of BD and BE=8/2=4

Answer A: 4in.
7 0
4 years ago
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