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grigory [225]
2 years ago
9

Can someone pls help with these geometry questions, it’s urgent.

Mathematics
1 answer:
Phantasy [73]2 years ago
7 0

Answer:

6. x + x + 14 = 90

   2x + 14 = 90

   2x = 76

   x = 38

angle b = 38 + 14 = 52°

7. angles on a straight line add up to 180°

   x + x - 32 = 180

   2x = 212

    x = 106°

angle d = 106 - 32 = 74°

8. vertically opposite angles are equal

   7x - 80 = 3x

    -80 = -4x

     20 = x

angle 1 = 7(20) - 80 = 60°

angle 2 = 3(20) = 60°

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If f(x) = kx^3+ x^2 − kx + 2, find a number k such that the graph of f contains the point (k, -10)
Elina [12.6K]

If we write k where we see x in the equation and set the result equal to -10, we get the result.

  • f(k)=k(k)^3+k^2-k(k)+2
  • =k^4+k^2-k^2+2
  • =k^4+2=-10
  • k^4=-12
  • k_{1}=\sqrt[4]{3}(-1-i)
  • k_{2}=\sqrt[4]{3}(-1+i)
  • k_{3}=\sqrt[4]{3}(1-i)
  • k_{4}=\sqrt[4]{3}(1+i)

4 0
1 year ago
4 kitchen assistants can prepare 10kg of vegetables in 45 minutes. How long would it take 25 assistants to prepare
Otrada [13]
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3 0
3 years ago
Is it true that:
Margarita [4]

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5 0
4 years ago
2. Write a quadratic function that has -intercepts (- 3, 0) and (4, 0) and passes through the point (5, 8)
Reptile [31]

Answer:

f(x)=x^2-x-12

Step-by-step explanation:

<u>Quadratic Function</u>

Standard Form of Quadratic Function

The standard representation of a quadratic function is:

f(x)=ax^2+bx+c

where a,b, and c are constants.

When the zeros of f (x1 and x2) are given, it can be written as:

f(x)=a(x-x1)(x-x2)

Where a is a constant called the leading coefficient.

We are given the two roots of f: x1=-3 and x2=4, thus:

f(x)=a(x+3)(x-4)

We also know that f(5)=8, thus:

f(5)=a(5+3)(5-4)=8

Operating:

a(8)(1)=8

Solving:

a=1

The function is:

f(x)=1(x+3)(x-4)

Operating:

\boxed{f(x)=x^2-x-12}

5 0
3 years ago
I really don't understand and need help
koban [17]
Well this is -5-9 basically this is integers case 3 of subtraction
7 0
4 years ago
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