Start by expanding the left side of the equation: -2(4x-7) is equal to -8x + 14.
This brings you to -8x+14 = -8x + 14.
Now add 8x to both sides. This brings you to 14 = 14
Now subtract 14 from both sides. This brings you to 0 = 0.
Thus your answer is 0 = 0, which is a true statement.
Hope this helps.
Answer:
12/13, or answer choice B
Step-by-step explanation:
Ok first lets find the lengths of this triangle. We know 2 lengths already, 5 and 12. By using the pythagorean theorem, a^2+b^2=c^2, we can figure out that the third side is 13 units long.
Math:
5^2+12^2=169
25+144=169
And the square root of 169 is 13, meaning that the hypotenuse of the right triangle is 13.
To remember what SIN TAN and COS mean, you can use this helpful phrase: SOH CAH TOA
SOH: It means that SIN is OPPOSITE OVER HYPOTENUSE
CAH: it means that COS is ADJACENT OVER HYPOTENUSE
TOA: It means that TAN is OPPOSITE OVER ADJACENT
because it asks for SIN B, we need to do OPPOSITE OVER HYPOTENUSE.
Because the side opposite to angle B is 12 units, and the hypotenuse is 13 units, the answer is 12 over 13 units, or 12/13.
I hope my answer helped!
If this helped you, please vote brainliest. Thanks!
You have to know how the value of one unit corresponds to the value of the other unit. For example you have to know that there are 100 cm in 1 m or 1000 m in 1 km. It's easy in metric measurement system because it's all about multiplying/dividing by 10 or its multiplications. But in American/English system you just have to learn the values.
For example:
1 km = 1000 m = 10000 dm = 100000 cm = 1000000 mm
But:
1 mile = 1760 yards = 5280 feet = 63360 inches
Given:
Shift of 3 units to the left 4 units down.
To find:
The transformation rule.
Solution:
The rule of transformation is
...(i)
Here, a<0 if the figure shifts a units left and a>0 if the figure shifts a units right.
Similarly, b<0 if the figure shifts b units down and b>0 if the figure shifts b units up.
If a transformation represents shift of 3 units to the left 4 units down, then a=-3 and b=-4.
Putting a=-3 and b=-4 (i), we get
Therefore, the correct option is B.
