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exis [7]
2 years ago
13

What is the vertex of f(x)=|x-5|+10

Mathematics
1 answer:
Wewaii [24]2 years ago
6 0

Answer: (5, 10)

Step-by-step explanation:

See graph in picture.

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Sydney is playing a game on a map with a marked grid. To start, she places a game piece at (1, 4). She moves 3 units east and 2
Anastasy [175]

Answer:

(7, 8)

Step-by-step explanation:

If Sidney places each piece 3 units east and 2 units north of the last one, we can figure out which coordinate comes first by subtracting the position of the second piece (S) by the position of the first piece (F):

S - F = (4,6) - (1,4) = (3,2)

We can conclude that coordinates are in the (East, North) format.

Therefore, the location of the third piece (T) is:

T = S(E,N) +(3,2)= (4,6)+(3,2)\\T = (7,8)

6 0
3 years ago
How would you find the x-intercept of f(x)=(x-4)^2-3?
Svetlanka [38]
The x -intercepts occur when f(x) =0
So,
(x-4)^2 = x^2 -8x + 16 -3 =0
x^2 -8x + 13 =0
Solving by the quadratic formula
x1 = 5.7321
x2 = 2.2679



8 0
3 years ago
11/ 42 Marks
amm1812

Answer:

(a)x=128 degrees

(b)\angle APD\neq 116^\circ

Step-by-step explanation:

\angle ABD+\angle CBD =180^\circ$ (Linear Postulate)\\\angle ABD+116^\circ =180^\circ\\\angle ABD=180^\circ-116^\circ\\\angle ABD=64^\circ

(a) Now:

\angle AOD=2 \times \angle ABD$ (Angle at the centre is twice the  angle at the circumference)\\x=2 \times 64^\circ\\x=128^\circ

(b)

\angle APD=2 \times \angle ABD$ (Inscribed Angle Theorem)\\\angle APD=2 \times 64^\circ\\ \angle APD=128^\circ

\angle APD\neq 116^\circ

7 0
3 years ago
If 3(d+1)=4(d–2)<br> then what is the value of 5(d–2)
Sonja [21]

Answer:

5(d - 2) = 45

Step-by-step explanation:

Solve the given equation for d

3(d + 1) = 4(d - 2) ← distribute parenthesis on both sides

3d + 3 = 4d - 8 ( subtract 3d from both sides )

3 = d - 8 ( add 8 to both sides )

11 = d

Then

5(d - 2) = 5(11 - 2) = 5(9) = 45

3 0
3 years ago
A $79 television is on sale for $65. What percent discount was given? <br>​
pickupchik [31]

Answer:

The discount percentage has been given: ($ 65 / $ 79) x 100 = 82.27%

So the discount percentage is: 100% -82.27% = 17.72%

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
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