Answer:
x = ±2.24
Step-by-step explanation:
16x² - 80 = 0
16x² = 80 (Add 80)
x² = 5 (Divide by 16)
x = ±√5 (Square root both sides)
≈ 2.24, -2.24
Answer:
angle ABC is 130 degrees
Step-by-step explanation:
This is the quickest and simplest way to gind the answer.
Angle CBD and angle ABC are linear pairs. Linear pairs are supplementary meaning angle CBD and angle ABC equal 180 degrees. Since angle CBD is 50 degrees and you know both angles need to add up to 180 degrees all you need to do is subtract 180 from 50 degrees.
Hi there! The answer is y = -3x - 21
Let's set up the equation of the line step by step! First we need to know that we need to set up an equation in slope-intercept form. We get the following:
y = ax + b.
a represents the slope of the line.
b represents the intercept with the y-axis.
Since our new line is parallel to y = -3x + 1, both lines have the same slope. Therefore the slope of our line, which is represented by a, is -3.
y = -3x + b.
We also know that this line goes through the point (-5, -6) and therefore we can plug in these coordinates into our formula.
-6 = -3 × -5 + b
Simplify
-6 = 15 + b
Subtract 15
-21 = b
Switch sides
b = -21
Hence, y = -3x - 21
~ Hope this helps you!
Answer:
The wingspan of the real aero plane is 65.6 cm
Step-by-step explanation:
Here, we are to calculate what the wingspan of the real aero plane is given the length of the model and the comparison of the model to the real.
This can be best solved using a ratio approach.
What we have is that the model measures to the original at a ratio of 5:8
Hence at all times, the ratio we have must be 5 to 8
Now, we have a model length of 41cm and we want to calculate what the real span will be
Let the real
length be x cm
Thus mathematically;
5:8 = 41:x
5/8 = 41/x
5* x = 8 * 41
5x = 328
x = 328/5
x = 65.6 cm
