Answer:
y = 2x – 1
Step-by-step explanation:
The graph is a line then it’s equation has this form y = ax + b where a the slope and the y-intercept
the y-intercept b = -1 cause the line intersects the y-axis at the point (0 , -1)
![a=\frac{3-(1)}{2-0}=\frac{2}{2}=1](https://tex.z-dn.net/?f=a%3D%5Cfrac%7B3-%281%29%7D%7B2-0%7D%3D%5Cfrac%7B2%7D%7B2%7D%3D1)
Finally,
y = ax + b
= 2x - 1
Answer:
7/8= 0.875
7/20= 0.35
18/20= 0.9
7/8= 0.875
68/50= 1.36
25/20= 1.25
26/25= 1.04
11/10= 1.10
11/16= 0.6875
9/16= 0.5625
33/40= 0.825
23/40= 0.575
14/10= 1.4
29/25= 1.16
39/40= 0.975
Step-by-step explanation:
9514 1404 393
Answer:
∠GDH = ∠GHD = 50°
Step-by-step explanation:
Angles FGD and EDG are alternate interior angles, so are congruent. That means angle EDG is 100°. The angle sum theorem tells us ...
∠EDG = ∠EDH +∠HDG
100° = 50° +∠HDG
50° = ∠HDG
You can find the measure of ∠DHG a couple of different ways. It is an alternate interior angle congruent to ∠EDH, so is 50°. It is one of two remote interior angles that have a sum equal to the exterior angle FGD, so is ...
∠DHG = ∠FGD -∠HDG = 100° -50° = 50°
So, angles DHG and HGD both have measures of 50°. When a triangle has two angles with the same measure, it is an isosceles triangle.
Answer:
<h2>the radius = 15 cm</h2>
Step-by-step explanation:
let r be the radius of the circle.
→ We know that in circle , the length of an arc
and the corresponding central angle are proportional.
180 corresponds to πr
120 corresponds to 10π
Then
![\frac{\uppi r}{180} =\frac{10\uppi }{120}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Cuppi%20r%7D%7B180%7D%20%3D%5Cfrac%7B10%5Cuppi%20%7D%7B120%7D)
![\Longrightarrow r=\frac{180\times 10\pi }{120\pi } =\frac{180}{12} =15](https://tex.z-dn.net/?f=%5CLongrightarrow%20r%3D%5Cfrac%7B180%5Ctimes%2010%5Cpi%20%7D%7B120%5Cpi%20%7D%20%3D%5Cfrac%7B180%7D%7B12%7D%20%3D15)
The answer is not defined.
Explanation:
The given matrix is ![$\left[\begin{array}{cc}{2} & {4} \\ {1} & {-6}\end{array}\right]+\left[\begin{array}{c}{1} \\ {0}\end{array}\right]$](https://tex.z-dn.net/?f=%24%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D%7B2%7D%20%26%20%7B4%7D%20%5C%5C%20%7B1%7D%20%26%20%7B-6%7D%5Cend%7Barray%7D%5Cright%5D%2B%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7D%7B1%7D%20%5C%5C%20%7B0%7D%5Cend%7Barray%7D%5Cright%5D%24)
The matrix
has dimensions ![2\times 2](https://tex.z-dn.net/?f=2%5Ctimes%202)
This means that the matrix has 2 rows and 2 columns.
Also, the matrix
has dimensions ![2\times1](https://tex.z-dn.net/?f=2%5Ctimes1)
This means that the matrix has 2 rows and 1 column.
Since, the matrices can be added only if they have the same dimensions.
In other words, to add the matrices, the two matrices must have the same number of rows and same number of columns.
Since, the dimensions of the two matrices are not equal, the addition of these two matrices is not possible.
Hence, the addition of these two matrices is not defined.