None of the above answers are correct in the form it is written. The correct answer would be -7/2.
In order to solve this, you must use the order of operations for solving.
2x - 3 = 4x + 4 -----> Subtract 2x from both sides
-3 = 2x + 4 ------> Subtract 4 from both sides.
-7 = 2x ----> Divide both sides by 2
-7/2 = x
If this is not an option, you may have copied the problem incorrectly or did not properly list the answers.
ST = 7.2
RT = 4.04
m∠S = 34°
Solution:
Given ΔRST is a right triangle.
RS = 6, ∠T = 56°
1.206 × 6 = ST
7.236 = ST
ST = 7.2
0.674 × 6 = RT
4.044 = RT
RT = 4.04
To find the measure of angle S.
Sum of the interior angles of the triangle = 180°
m∠R + m∠S + m∠T = 180°
90° + m∠S + 56° = 180°
m∠S + 146° = 180°
m∠S = 180° – 146°
m∠S = 34°
The geometric mean is defined as the nth root of the product of n numbers
1. 4 and 9
Geometric mean =
2. 5 and 8
Geometric mean =
3. 8 and 32
Geometric mean =
4. 64 and 36
Geometric mean =
Hope that helped!
Since we know a = 3, substitute this into the expression:
2a² = 2 x 3²
3² = 9
So 2a² = 2 x 9
2a² = 18
We know b = 2 and c = 1, so substitute these values into the expression:
3b² - c³ = 3 x 2² - 1³
2² = 4
1³ = 1
So:
3 x 4 - 1
Using the order of operations we multiply first:
3 x 4 = 12
Take off the 1:
Final answer:
3b² - c³ = 11
The correct answer would be D and I'll explain why. The table is giving you coordinates that are supposed to be on the coordinate plane. When reading coordinates and placing them on a plane x goes before y. Therefore the first point would be (3, -4). Because 3 is x, you need to go along the x-axis until you find a positive 3 - which would be to your right. Next is -4 on the y-axis, which would be the vertical line. The positives will always be above and to the right. Since it's a negative number, you go down until you find a negative 4. Now that you've found where 3 and -4 is, see where they intersect and that's where the point will be. Now, you can continue like this for the rest of the coordinates.