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valkas [14]
3 years ago
13

The equation of line s,line t, and point p

Mathematics
1 answer:
Veronika [31]3 years ago
3 0

Answer:

T

Step-by-step explanation:

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Tom determines the system of equations below has two solutions, one of which is located at the vertex of the parabola.
Rus_ich [418]

Answer:

b must equal 7 and a second solution to the system must be located at (2, 5).

Step-by-step explanation:

Rearranging the first equation:

y = (x - 3)^2 + 4

From this we see that the vertex is at the point (3,4).

So one solution of equation 2 is (3 ,4).

Substituting in equation 2:

4 = -3 + b

b = 7.

So equation 2 is y = - x + 7.

Now we check if  (2, 5) is on this line:

5 = -2 + 7 = 5 , therefore  (2, 5) is on this line.

Verifying if (2, 5)  is also on y = (x - 3)^2 + 4:

5 = (2 - 3)^2 + 4 =  1 + 4 = 5

- so it is. and a second solution to the system is (2, 5).

5 0
2 years ago
The cost of electricity in a certain city is $0.08 for each of the first 300kWh (kilowatt-hours) and $0.13 for each kilowatt-hou
Ivahew [28]

Step-by-step explanation:

0.08*300 + 0.13x = 51.95

Multiply thru by 100 to get:

8*300 + 13x = 5195

13x = 5195-2400

13x = 2,795

x = 215 hours

7 0
3 years ago
Read 2 more answers
On Monday 475 students went on a trip to the zoo. All 9 buses were filled and 7 students had to traveled in car . How many stude
KIM [24]

Answer:

52 students were in each bus

Step-by-step explanation:

475-7=468÷9=52 so 52

7 0
3 years ago
How do you solve substitution problems in Pre Algebra
Rus_ich [418]
You multiply both of the equations until you have two of the same term the same like for example, say I have 4x and 5x. You want to multiply until both have the same number, so multiply 5x by four, then multiply 4x by five, and you will get 20x, then both of those cancel out and you will be left with the other variable, and you just solve like a normal equation.
4 0
3 years ago
Read 2 more answers
FIND M∠R (GIVING BRAINLIEST, 25 PTS)
riadik2000 [5.3K]

Answer:

<h2>76</h2>

Step-by-step explanation:

<h3>to understand this</h3><h3>you need to know about:</h3>
  • triangles
  • equation
  • PEMDAS
<h3>given:</h3>
  • M\angle T=2x+2
  • M\angle R=3x+1
<h3>tips and formulas:</h3>
  • this is an isosceles triangle since two sides are equal therefore \angle T=\angle S
  • a triangle contains 180°
<h3>let's solve:</h3>

according to the question

2x+2+2x+2+3x+1=180

solve:

  1. collect like terms:7x+5=180
  2. substract 5 from both sides:=>7x+5-5=180-5=>7x=175
  3. divide both sides by 7: =>7x/7=175/7
  • x=25

given:

M∠R=3x+1

substitute the value of x

3×25+1

75+1

76

7 0
2 years ago
Read 2 more answers
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