Answer:
The answer would be (-7,3)
Step-by-step explanation:
Answer:
12,600
Step-by-step explanation:
1/3 = 4/12
1/4 = 3/12
Together they equal 7/12
The different is 5/12
5/12 = .416666 =.42
.42 x 30,000 = 12,600
Answer:
Step-by-step explanation:
Figure 1
- 3 = 4 - 1 = 2² - 1 = (1 + 1)² - 1
Figure 2
- 8 = 9 - 1 = 3² - 1 = (2 + 1)² - 1
Figure 3
- 15 = 16 - 1 = 4² - 1 = (3 + 1)² - 1
<u>The function is:</u>
Answer:
z=44
Step-by-step explanation:
One way to go about this with the given angles is to use the alternate interior angles theorem to find the full measure of ∠C and ∠A. Then, use the same theorem to set ∠BDA as 52°. Subtract all the angle measures from 360 (because the sum of the interior angles of a quadrilateral is = 360 degrees). Then divide the result by 2.
360-84-84-52-52=88
=88/2
=44
So z=44°
Answer:
Step-by-step explanation:
Hypotenuse² =base² + altitude²
(3x + 4)² = (2x + 1)² + (3x)²
{Use (a+b)² = a² + 2ab + b²}
(3x)² + 2*3x+4 + 4² = (2x)² + 2*2x*1 + 1² + 9x²
9x² + 24x + 16 = 4x² + 4x + 1 + 9x²
9x² + 24x + 16 = 13x² + 4x + 1
0 = 13x² + 4x + 1 - 9x² - 24x - 16
13x² - 9x² + 4x - 24x +1 - 16 = 0
4x² - 20x - 15 = 0
a = 4 ; b =-20 ; c = -15
D = b² - 4ac = (-20)² - 4*4*(-15) = 400 + 240 = 640
√D = √640 = 25.30

x = 5 .66 ; x = -0.66
Ignore x = -0.66 as length of a side cannot be negative
Answer : x = 5.66