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3 years ago

Find the unknown angle

Mathematics

1 answer:

Svet_ta [14]3 years ago

5 0

Answer:

15) 54

16) 37

Step-by-step explanation:

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What is 47%as a fraction

ivolga24 [154]

Answer:

47/100

Step-by-step explanation:

47 -> 0.47 47/100 = 0.47

6 0

3 years ago

Read 2 more answers

Evaluate the function. f(x) = –2x2 – 10.0 Find f(-5) Answer: Submit Answer

Wittaler [7]

Answer:

f(-5) = 0

Step-by-step explanation:

Step 1: Define

f(x) = -2x² - 10x

f(-5) is x = -5

Step 2: Substitute and Evaluate

f(-5) = -2(-5)² - 10(-5)

f(-5) = -2(25) + 50

f(-5) = -50 + 50

f(-5) = 0

3 0

3 years ago

Y=-x^2+6x-4 Find the Axis of Symmetry and the Vertex, Also solve the whole equation.

Inessa [10]

Answer:

1. Axis of symmetry: x = 3

2. Vertex: (3,5)

3. Solution of the equation:

x-intercepts:

$(3-\sqrt{5},0) \\\\(3+\sqrt{5},0)$

y-intercept: (0, -4)

Explanation:

1. Equation:

$y=-x^2+6x-4$

2. Axis of symmetry:

That is the equation of a parabola, whose standard form is:

$y=ax^2+bx+c$

Where:

$a=-1;b=6;c=-4$

The axis of symmetry is the vertical line with equation:

$x=-b/2a$

Substitute $a=-1,\text{ and }b=6$

$x=-6/[(2)(-1)]=-6/(-2)=3$

Thus, the axis of symmetry is:

$x=3$

3. Vertex

The x-coordinate of the vertex is equal to the axys of symmetry, i.e x = 3.

To find the y-xoordinate, substitute this value of x into the equation for y:

$y=-x^2+6x-4\\\\y=-(3)^2+6(3)-4=-9+18-4=5$

Therefore, the vertex is (3, 5)

4. Find the x-intercepts

The x-intercepts are the roots of the equation, which are the points wher y = 0.

$y=-x^2+6x-4=0$

Use the quadratic equation:

$x=\frac{-b\pm \sqrt{b^2-4ac} }{2a} \\\\x=\frac{-6\pm\sqrt{(-6)^2-4(-1)(-4)} }{2(-1)}\\\\x_1=3-\sqrt{5} \\\\x_2=3+\sqrt{5}$

5. Find the y-intercept

The y-intercet is the value of y when x=0:

$y=-x^2+6x-4\\\\y=-(0)^2+6(0)-4=-4$

7 0

3 years ago

A 1.5m wire carries a 7 A current when a potential difference of 54 V is applied. What is the resistance of the wire?

borishaifa [10]

Answer:

R = 7.71 ohms

Step-by-step explanation:

By ohm's law: R= V/I

where, R = resistance of wire, V = potential difference, I = electric current

Given: V = 54 and I = 7 A

Plug in the above values in the ohm's law, we get

R = 54 V/7 A

R = 7.71 ohms

Hope this will helpful.

Thank you.

6 0

3 years ago

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Which number lines have points that represent additive inverses? Check all that apply.

jeka94

<h3>2 Answers: B and D</h3>

===================================================

Explanation:

Choice B is one answer because -2 and 2 are additive inverses that add to -2+2 = 0

Choice D is a similar story. We have -5+5 = 0

In general, if x is some number then -x is its additive inverse. So we can say x+(-x) = 0 or -x+x = 0. In short, additive inverses add to 0.

8 0

3 years ago

Read 2 more answers