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Crank
3 years ago
5

What is the value of 3x² + 2y3 when x = -4 and y = -2

Mathematics
2 answers:
skad [1K]3 years ago
7 0
Ummmmmmm -26 ......... in
Sati [7]3 years ago
7 0

Answer:

80

Step-by-step explanation:

3x^2 + 2y^3 = (3 * (-4))^2 + (2 * (-2))^3 = (-12)^2 + (-4)^3 = 144 + (-64) = 80

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Point G is the centroid of the right △ABC with m∠C=90° and m∠B=30°. Find AG if CG=4 ft.
o-na [289]

Answer: \text{Length of AG=}\frac{2\sqrt{63}}{3}

Explanation:  

Please follow the diagram in attachment.  

As we know median from vertex C to hypotenuse is CM  

\therefore CM=\frac{1}{2}AB

We are given length of CG=4  

Median divide by centroid 2:1  

CG:GM=2:1  

Where, CG=4

\therefore GM=2 ft

Length of CM=4+2= 6 ft  

\therefore CM=\frac{1}{2}AB\Rightarrow AB=12

In \triangle ABC, \angle C=90^0

Using trigonometry ratio identities  

AC=AB\sin 30^0\Rightarrow AC=6 ft

BC=AB\cos 30^0\Rightarrow BC=6\sqrt{3} ft  

CN=\frac{1}{2}BC\Rightarrow CN=3\sqrt{3} ft

In \triangle CAN, \angle C=90^0  

Using pythagoreous theorem  

AN=\sqrt{6^2+(3\sqrt{3})^2\Rightarrow \sqrt{63}

Length of AG=2/3 AN

\text{Length of AG=}\frac{2\sqrt{63}}{3} ft


5 0
3 years ago
Given the trinomial x^2+bx+c where both the first and second signs are positive, the signs of the factors will be: A. both negat
Lunna [17]
The answer here is C. The sign of the factors are both positive. We can use the FOIL method as reference in determining the sign of the factors. The 3rd term C is positive; therefore our only option is either both negative or both positive. Looking the middle term, which is positive, we know that the middle term is the sum of the outer and inner in FOIL method, which means, signs of the factors must be both positive
7 0
3 years ago
Tickets to the basketball game can be ordered online for a set price per ticket plus a $5.50 service fee. The total cost in doll
Brilliant_brown [7]

Answer:

c= 20.5x+5.5

Step-by-step explanation:

Let us assume that the price per ticket for the 5 ticket purchase is x.  

Then by the condition, ticket price plus a service fee of $5.50 will be $108.00 as the total cost.  

Hence, 5x+5.5 =108, ⇒ 5x= 102.5, ⇒x= 20.5

So, the cost per ticket will be $20.5.

If the total cost is c and x number of tickets are purchased, then the linear function which represents the relation between c and x will be,

c = 20.5x +5.5 (Answer)

3 0
2 years ago
Read 2 more answers
Allen runs 8 miles in 3 hours at a steady pace. How long does it take him to run 3 miles?
Firdavs [7]
We know that she runs 8 miles in 3 hours and we have to find how much time it takes to run 3 miles.
Let time be x and now lets put in the numeric form.
\frac{8}{3} = \frac{3}{x}
now cross multiplying each other so we get
8 * x = 3 * 3
8x = 9  { dividing both sides by 8 }
x = 9/8
or
x = 1.125 hrs.

8 0
3 years ago
One reading at an Arctic research station showed that the temperature was -35 degrees C.What is this temperature in degrees Fahr
gulaghasi [49]
The answer is -31 degrees Fahrenheit
8 0
3 years ago
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