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3 years ago

How much degrees turn in the hour hand from 4 to 8

Mathematics

1 answer:

Gala2k [10]3 years ago

4 0

Answer:

120°

I just used a protractor tool lol. I looked it up afterwards as well and 120° is correct.

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Create a system of equations with a solution of (5,-2)

VladimirAG [237]

<h3>5x - y = 27 and 2x + y = 8 are the system of equations with a solution of (5,-2) </h3>

Solution:

Given that,

create a system of equations with a solution of (5,-2)

The equation for a line in slope intercept form:

y = mx + b

Where, m is the slope and b is the y intercept

For (x, y) = (5, -2)

-2 = 5m + b

When m = 5

-2 = 5(5) + b

-2 = 25 + b

b = -2 - 25

b = -27

When m = -2

-2 = 5(-2) + b

-2 = -10 + b

b = 8

Thus equations are:

y = 5x - 27

y = -2x + 8

Rearranging to standard form,

5x - y = 27 --- eqn 1

2x + y = 8 ---- eqn 2

Thus the system of equations are found

<h3>Verify:</h3>

Solve eqn 1 and eqn 2

Add both eqn 1 and eqn 2

7x = 35

Substitute x = 5 in eqn 2

2(5) + y = 8

y = 8 - 10

Thus solution is (5, -2) and the found system of equations are correct

5 0

4 years ago

For his phone service John pays a monthly fee of $13 and he pays an additional $0.06 per minute of use the least he has been cha

Mamont248 [21]

Answer:

m ≥ 1016

Step-by-step explanation:

13+0.06M≥73.96

0.06M ≥ 60.96

m ≥ 1016

5 0

4 years ago

What is the 40th term of the sequence below? 14 9 4 -1

pshichka [43]

D = T2 - T1
d = 9 - 14
d = - 5

T40 = 14 + 39(-5)
= 14 - 195
= - 181

3 0

3 years ago

HELPPPP!!!! Need the answer ASAP!!

Greeley [361]

Given that the functions $f(x)=x+4$ and $g(x)=x^{3}$

We need to determine the value of the function $(g \ {\circ} f)(-3)$

First, we shall determine the composition of the function $(g \circ f)(x)$

Function $(g \circ f)(x)$ :

Let us determine the function $(g \circ f)(x)$

Thus, we have;

$(g \circ f)(x)=g[f(x)]$

$=g[x+4]$

$=(x+4)^3$

$(g \circ f)(x)=x^3+3x^2(4)+3x(4)^2+(4)^3$

$(g \circ f)(x)=x^3+12x^2+48x+64$

Thus, the function is $(g \circ f)(x)=x^3+12x^2+48x+64$

Value of the function $(g \ {\circ} f)(-3)$ :

The value of the function can be determined by substituting x = -3 in the function $(g \circ f)(x)=x^3+12x^2+48x+64$

Thus, we have;

$(g \circ f)(-3)=(-3)^3+12(-3)^2+48(-3)+64$

Simplifying the terms, we get;

$(g \circ f)(-3)=-27+12(9)+48(-3)+64$

$(g \circ f)(-3)=-27+108-144+64$

$(g \circ f)(-3)=1$

Thus, the value of the function $(g \ {\circ} f)(-3)$ is 1.

8 0

3 years ago

I need help w geometry

aniked [119]

What changes might help "Happiness is a charming Charlie Brown at orlando rep" to take on the general purpose of "You're a good man, Charlie Brown?

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3 years ago

How much degrees turn in the hour hand from 4 to 8​

How much degrees turn in the hour hand from 4 to 8