9514 1404 393
Answer:
(h, k) = (9, -8)
Step-by-step explanation:
The function g(x) is "vertex form" for a quadratic whose vertex is (h, k). We are told the vertex is (9, -8), so we have ...
(h, k) = (9, -8) . . . . the values of h and k
Answer:
The equation of the line in point-slope form is
.
Step-by-step explanation:
According to the statement, let
and
. The equation of the line in point-slope form is defined by the following formula:
(1)
Where:
,
- Coordinates of the point A, dimensionless.
- Slope, dimensionless.
- Independent variable, dimensionless.
- Dependent variable, dimensionless.
In addition, the slope of the line is defined by:
(2)
If we know that
and
, then the equation of the line in point-slope form is:
![x_{B} = 1.25\cdot (14)](https://tex.z-dn.net/?f=x_%7BB%7D%20%3D%201.25%5Ccdot%20%2814%29)
![x_{B} = 17.5](https://tex.z-dn.net/?f=x_%7BB%7D%20%3D%2017.5)
![y_{B} = 0.75\cdot (21)](https://tex.z-dn.net/?f=y_%7BB%7D%20%3D%200.75%5Ccdot%20%2821%29)
From (2):
![m = \frac{15.75-21}{17.5-14}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7B15.75-21%7D%7B17.5-14%7D)
![m = -\frac{3}{2}](https://tex.z-dn.net/?f=m%20%3D%20-%5Cfrac%7B3%7D%7B2%7D)
By (1):
![y-21 = - \frac{3}{2}\cdot (x-14)](https://tex.z-dn.net/?f=y-21%20%3D%20-%20%5Cfrac%7B3%7D%7B2%7D%5Ccdot%20%28x-14%29)
The equation of the line in point-slope form is
.
Know about the following<span> topics. </span>1<span>. Converse of Pythagorean Theorem. </span>2. 45-45-<span>90 </span>Right Triangles<span>. </span>3<span>. 30-60-90 </span>Right Triangles<span>. </span>4<span>. Tangent Ratio. </span>5. Sine Ratio. 6<span>. ... </span>Check<span> to see whether the </span>side lengthssatisfy the equation c2. = a2 + b2. (√113)2<span> = 72 + 82. 113 = 49 + 64. 113 = 113 </span>✓<span>. </span>7<span>. 8. √113 ? ? The triangle is a.</span>
Tim spends 1/3 each weekday sleeping and 7/24 in school. We can write 1/3 as 8/24 so we have a common denominator. Now we can see that Tim sleeps for 1/24 time of a weekday more then he spends in school.
I hope that's what you meant.
Answer:
2*316
Step-by-step explanation: