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White raven [17]
2 years ago
14

Evaluate if x = 2 and y = -4: x³ + y² *

Mathematics
1 answer:
Marta_Voda [28]2 years ago
8 0

Answer:

=24

Step-by-step explanation:

Evaluate for x=2,y=−4

23+(−4)2

23+(−4)2

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Please help me find the value of x the answer must be exact
jenyasd209 [6]

Answer:

x=11

Step-by-step explanation:

This is a 45°-45°-90° triangle. The two legs are the same length, and the hypotenuse is that length times the square root of two:

leg=x\\hypotenuse=x\sqrt{2}

Therefore, the value of x is 11.

You can double-check using the sine ratio:

sineX=\frac{opposite}{hypotenuse}

Insert the values:

sin45=\frac{x}{11\sqrt{2} }

Insert the equation into a calculator:

x=11

:Done

*It's important to know that, when working with trigonometry ratios, the hypotenuse is never considered the adjacent or opposite side, and the 90° angle is never used in the ratios.

6 0
3 years ago
Given the diagram below. If G is the circumcenter of ABC. DC = 16, GB = 21 and AZ = 19, find each measure.​
Jlenok [28]

Answer:

Step-by-step explanation:

Properties of a circumcenter;

1). Circumcenter of a triangle is a point which is equidistant from all vertices.

2). Point where perpendicular bisectors of the sides of a triangle meet is called circumcenter of the triangle.

From the picture attached,

9). AG = GB = GC = 21

10). BC = 2(DC)

            = 2×16

            = 32

11). By applying Pythagoras Theorem in ΔGFB,

     GB² = GF² + FB²

     (21)² = GF² + (19)²

     441 = GF² + 361

     GF² = 441 - 361

     GF = \sqrt{80}

     GF = 8.9

12). By applying Pythagoras theorem in ΔGDB,

     GB² = DG² + BD²

     (21)² = (DG)² + (16)² [BD = DC = 16]

     DG² = 441 - 256

     DG = √185

     DG =  13.6

7 0
3 years ago
What is the area of a triangle with vertices (1,0) (5,0) (3,4)
Aleksandr-060686 [28]

Answer:

The area of the triangle is of 8 units of area.

Step-by-step explanation:

Answer:

The area of the triangle is of 21 units of area.

Step-by-step explanation:

The area of a triangle with three vertices (x_1,y_1),(x_2,y_2),(x_3,y_3) is given by the determinant of the following matrix:

A = \pm 0.5 \left|\begin{array}{ccc}x_1&y_1&1\\x_2&y_2&1\\1_3&y_3&1\end{array}\right|

In this question:

Vertices (1,0) (5,0) (3,4). So

A = \pm 0.5 \left|\begin{array}{ccc}1&0&1\\5&0&1\\3&4&1\end{array}\right|

A = \pm 0.5(1*0*1+0*1*3+1*5*4-1*0*3-0*5*1-1*1*4)

A = \pm 0.5*(20-4)

A = \pm 0.5*16 = 8

The area of the triangle is of 8 units of area.

3 0
3 years ago
Each patron can borrow up to 6 books. If all the patrons are currently holding on to 6 books each, how many books are left in th
marusya05 [52]

Answer:

3,489 + 8,617 + 1,240 – 564 x 6 = 9,962

There are 9,962 books left in the library

Hope so it helps cause it's also in my book

7 0
2 years ago
the ratio of hopeless romantics to hard-headed skeptics was 459 to 2. if there were 7,803 hopeless romantics, how many hard-head
JulijaS [17]

Answer:

333

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
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