Answer:
B
Step-by-step explanation:
The vertex of the parabola is (-1,-4)
So the axis of symetry is x=-1
Answer:
See answers below
Step-by-step explanation:
Since both trinagles asre similar hence the ratio of the similar sides are equal.
From both triangles;
y + 7 = 3y - 7
y - 3y = -7-7
-2y = -14
y = 14/2
y = 7
FE = 3y - 17
FE = 3(7) - 17
FE = 21 - 17
FE = 4
AB = y'+7
AB = 7 + 7
AB = 14
Similarly
3x+20 = 5x - 80
3x -5x = -80-20
-2x = -100
x = 100/2
x = 50
<A = 3x + 20
<A = 3(50) + 20
<A = 150 + 20
<A = 170degrees
Hence x= 50 and y = 7
Answer:
6 × 10^9
Step-by-step explanation:
( 2 × 10^5 ) × ( 3 × 10^4 )
Rearrange.
2 × 3 × 10^5 × 10^4
Multiply and apply the law of exponents.
6 × 10^(5+4)
6 × 10^9
Answer:
b11 = -14
b12 = 9
b13 = 8
Step-by-step explanation:
* Lets revise some notes to solve the problem
- Any matrix has a dimension m × n, where m is the number of rows
and n the number of columns
- We can add matrices with same dimensions
* Now lets solve the problem
∵ ![B+\left[\begin{array}{ccc}15&-7&4\\0&1&2\end{array}\right]=\left[\begin{array}{ccc}1&2&12\\4&0&2\end{array}\right]](https://tex.z-dn.net/?f=B%2B%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D15%26-7%264%5C%5C0%261%262%5Cend%7Barray%7D%5Cright%5D%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D1%262%2612%5C%5C4%260%262%5Cend%7Barray%7D%5Cright%5D)
- Let ![B=\left[\begin{array}{ccc}b11&b12&b13\\b21&b22&b23\end{array}\right]](https://tex.z-dn.net/?f=B%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7Db11%26b12%26b13%5C%5Cb21%26b22%26b23%5Cend%7Barray%7D%5Cright%5D)
∴ ![\left[\begin{array}{ccc}b11&b12&b13\\b21&b22&b23\end{array}\right]+\left[\begin{array}{ccc}15&-7&4\\0&1&2\end{array}\right]=\left[\begin{array}{ccc}1&2&12\\4&0&2\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7Db11%26b12%26b13%5C%5Cb21%26b22%26b23%5Cend%7Barray%7D%5Cright%5D%2B%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D15%26-7%264%5C%5C0%261%262%5Cend%7Barray%7D%5Cright%5D%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D1%262%2612%5C%5C4%260%262%5Cend%7Barray%7D%5Cright%5D)
- Lets add and find the missing
* Lets start with the first rows
∵ b11 + 15 = 1 ⇒ subtract 15 from both sides
∴ b11 = -14
∵ b12 + -7 = 2 ⇒ add 7 to both sides
∴ b12 = 9
∵ b13 + 4 = 12 ⇒ subtract 4 from both sides
∴ b13 = 8
* Now lets start with the second rows
∵ b21 + 0 = 4
∴ b21 = 4 ⇒ given
∵ b22 + 1 = 0 ⇒ subtract 1 from both sides
∴ b22 = -1 ⇒ given
∵ b23 + 2 = 2 ⇒ subtract 2 from both sides
∴ b23 = 0 ⇒ given
You can divide the sides to simplify them.
20/100 = 10/50 = 5/25 = 1/5