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melamori03 [73]
3 years ago
12

The train travels at a constant speed. What is its speed? please hurry

Mathematics
1 answer:
jarptica [38.1K]3 years ago
4 0

Answer:

300 km in hour are the answers

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In ΔSTU, the measure of ∠U=90°, ST = 9.7 feet, and US = 4 feet. Find the measure of ∠T to the nearest degree.
BaLLatris [955]

Answer:

Around 24 degrees

Step-by-step explanation:

*Make sure calculator is on degree mode*

Try to draw out triangle--it helps

Need to use law of sines... this is where an angle and the side that opposes it are equal to each other. For example, Angle U is equal to 9.7

\frac{sin\alpha }{4} = \frac{sin90}{9.7}

Multiply 4 and sin90 and then divide the product by 9.7

Use sin^{-1} on calculator to convert the answer into degrees

5 0
3 years ago
The axis of symmetry for the function f(x) = –2x2 + 4x + 1 is the line x = 1. Where is the vertex of the function located?
egoroff_w [7]

Answer:

(1, 3)

Step-by-step explanation:

You are given the h coordinate of the vertex as 1, but in order to find the k coordinate, you have to complete the square on the parabola.  The first few steps are as follows.  Set the parabola equal to 0 so you can solve for the vertex.  Separate the x terms from the constant by moving the constant to the other side of the equals sign.  The coefficient HAS to be a +1 (ours is a -2 so we have to factor it out).  Let's start there.  The first 2 steps result in this polynomial:

-2x^2+4x=-1.  Now we factor out the -2:

-2(x^2-2x)=-1.  Now we complete the square.  This process is to take half the linear term, square it, and add it to both sides.  Our linear term is 2x.  Half of 2 is 1, and 1 squared is 1.  We add 1 into the set of parenthesis.  But we actually added into the parenthesis is +1(-2).  The -2 out front is a multiplier and we cannot ignore it.  Adding in to both sides looks like this:

-2(x^2-2x+1)=-1-2.  Simplifying gives us this:

-2(x^2-2x+1)=-3

On the left we have created a perfect square binomial which reflects the h coordinate of the vertex.  Stating this binomial and moving the -3 over by addition and setting the polynomial equal to y:

-2(x-1)^2+3=y

From this form,

y=-a(x-h)^2+k

you can determine the coordinates of the vertex to be (1, 3)

5 0
3 years ago
Read 2 more answers
Solve the equation 6x+3y=15for y what does y equal if x=2 if x=5
avanturin [10]
6x+3y=15
6*2+3y=15
12+3y=15
      3y=3
        y=1

6x+3y=15
6*5+3y=15
30+3y=15
      3y=-15
        y=-5

The answers is y=1 & -5

3 0
3 years ago
Find the missing number (1+_ ÷7+4)÷8=4/7​
GaryK [48]

The answer to (1+_÷7+4)÷8= 4/7 is -3 I believe

3 0
3 years ago
The population Of a town in Utah in 1997 was 6000. After two years the population of the town was 145% of the 1997 population. W
zalisa [80]

Answer:

c 8700

Step-by-step explanation:

7 0
3 years ago
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