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VikaD [51]
3 years ago
10

Evaluate the following expressions given x=6 and y=-3

Mathematics
1 answer:
Nana76 [90]3 years ago
7 0

a.

\purple{5 \times 6 - 4 \times ( - 3)}

= 30 + 12

\blue{ =  \boxed{42}}

b.

\purple{ {6}^{2}  +  \frac{6}{ - 3} }

= 36 - 2

\blue{ =  \boxed{34}}

c.

\purple{(6 - 5 {)}^{3}  +  {( - 3)}^{2} }

=  {1}^{3} + 9

= 1 + 9

\blue{ =  \boxed{10}}

<h2>=============================</h2>

Hope it helps

<h2>=============================</h2>
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The altitude drawn to the hypotenuse of a right triangle divides the hypotenuse into segments of lengths 4 and 12. Find the leng
fomenos
The altitude will be the geometric mean of the lengths, so
h=\sqrt{4 \cdot 12}=4\sqrt{3}.  The smaller leg is the hypotenuse of a right triangle sides 4 and 4 \sqrt{3}, so the usual trig cliche, hypotenuse 8.

Answer: 8


3 0
3 years ago
Solve the system by substitution. Check your solution. <br> a-1.2b=-3 <br> 0.2b+0.6a=12
velikii [3]
A - 1.2b = - 3         ⇒ eq. 1
0.2b + 0.6a = 12   ⇒ eq. 2

a - 1.2b = - 3  
a = 1.2b - 3           ⇒ eq. 3

Substitute eq. 3 to eq. 2
0.2b + 0.6(1.2b - 3) = 12
0.2b + .72b - 1.8 = 12
Combine like terms
0.92b = 12 + 1.8
0.92b = 13.8   ⇒ divide both sides by 0.92 to get the value of b
<span>b = 15

</span>Substitute the value of b to eq. 3
a = 1.2b - 3
a = 1.2(15) - 3 
<span>a = 15

</span>to check: substitute the values of a and b to:
eq. 1
a - 1.2b = - 3 
15 - (1.2)(15) = -3 
15 - 18 = - 3 
- 3 = -3    ⇒ correct!

eq. 2 
0.2b + 0.6a = 12 
(0.2)(15) + (0.6)(15) = 12
3 + 9 = 12
12 = 12   ⇒ correct!
7 0
4 years ago
Read 2 more answers
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Answer:

sin^{-1}(x) = \frac{55}{73} \\\\cos^{-1}(x) = \frac{48}{73} \\\\tan^{-1}(x) = \frac{48}{55}

Step-by-step explanation:

Since you're finding the angle, you use the inverse of sin, cos, and tan.

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3 years ago
A cable TV company charges $28 for the basic service plus $8 for each movie channel. Let y be the total cost
erik [133]

Answer:

y= 28x+8

Step-by-step explanation:

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3 years ago
3. A store manager reports that the mean grocery bill at her store on a Saturday is between
Novay_Z [31]

Answer:

Hope you understand, and never stop striving to learn!

Step-by-step explanation:

The sample mean is both values added together then divided by 2.

$46.63

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