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Luba_88 [7]
2 years ago
11

What is the length of the longest possible laser beam he could send rounded to the nearest tenth of an inch?

Mathematics
1 answer:
Ludmilka [50]2 years ago
3 0

Where is the diagram????????

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Substitution method of y=x+5 and 5x+y=3
Levart [38]
To solve by substitution, you need to fill in the value for either x or y. Since y = x + 5, you already have the y value. It's x + 5. Now you need to find x before you can go any further. So let's take 5x + y = 3 and fill x + 5 in for y. 5x + y = 5 5x + x + 5 = 3 Now solve for x. 5x + x + 5 = 3 6x + 5 = 3 6x = 3 - 5 6x = -2 x = -2/6 or -0.33 Now solve x + 5 for y. y = x + 5 y = -0.33 + 5 y = 4.67 So x = -0.33 and y = 4.67
7 0
3 years ago
Read 2 more answers
Wastewater is filling barrels at the rate of 11 quarts per hour. The recycling facility picks up 120 full barrels on each trip,
dalvyx [7]
(1 h)/(11 qt) * (12 qt)/(1 barrel) * (120 barrels/pickup) * (1 day)/(24 h)
.. = 12*120/(11*24) day/pickup
.. = 5 5/11 days/pickup

120 barrels will be filled every 5 5/11 days. Some trips will be 5 days apart, some trips will be 6 days apart.
8 0
3 years ago
If 6x + 5y = 10, what is y in terms of x?<br> Please include an explanation!
Mnenie [13.5K]

what you're trying to do is form an equation for y

6x + 5y = 10    

5y = -6x + 10         we need y to be singular so divide by numeral before y

y = - 6x/5 + 10/5

y = - 6x/5 + 2

6 0
2 years ago
gale's grade in science for the term is determined by the average of five test grades. his first four grades are 80, 95, 78, and
lara [203]

Answer:

He needs at least 77 on the 5th test.

<em>T₅ ≥ 77</em>

Step-by-step explanation:

If five numbers are to average 84, then their sum must be (5 x 84) = 420 .

Gale needs his five grades to add up to 420.

So far, he has (80 + 95 + 78 + 90) =  343 .

He needs at least (420 - 343) = <em>77 more</em> points on the 5th test.

5 0
3 years ago
the vertex of this parabola is at (2,-1). when the y-value is 0, the x-value is 5. what is the coefficient of the squared term i
timama [110]
We know that

case a)
the equation of the vertical parabola write in vertex form is
y=a(x-h)²+k,
where (h, k) is the vertex.

Using our vertex, we have:
y=a(x-2)²-1
We know that the parabola goes through (5, 0),

so
we can use these coordinates to find the value of a:
0=a(5-2)²-1
0=a(3)²-1
0=9a-1

Add 1 to both sides:
0+1=9a-1+1
1=9a
Divide both sides by 9:
1/9 = 9a/9
1/9 = a
y=(1/9)(x-2)²-1

the answer is
a=1/9


case b)
the equation of the horizontal parabola write in vertex form is
x=a(y-k)²+h, 
where (h, k) is the vertex.

Using our vertex, we have:
x=a(y+1)²+2, 
We know that the parabola goes through (5, 0),

so
we can use these coordinates to find the value of a:
5=a(0+1)²+2
5=a+2
a=5-2
a=3
x=3(y+1)²+2

the answer is
a=3

see the attached figure 

3 0
3 years ago
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