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3 years ago

10

Between afternoon and evening, the temperature dropped by 8 degrees. The weather forecast predicted that the evening temperature

would be lower than -12 degrees F.
Write an inequality for this situation where t represents the temperature. *

1 answer:

Gemiola [76]3 years ago

4 0

Answer: t-8 < -12

Step-by-step explanation:

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Can someone tell me the answer to -a+3a+4 please

lidiya [134]

With the information given it’s 2a + 4

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3 years ago

Write an equation of the line that passes through the given point and is (a) parallel and (b) perpendicular to the given line.

Harrizon [31]

Answer:

Equation of the line that passes through the given point and is (a) parallel is: $\mathbf{y=-2x+11}$

Equation of the line that passes through the given point and is (b) perpendicular is: $\mathbf{y=\frac{1}{2}x+1}$

Step-by-step explanation:

We need to Write an equation of the line that passes through the given point and is (a) parallel and (b) perpendicular to the given line.

First we will find slope of the line given in graph

The slope can be found using formula: $Slope=\frac{y_2-y_1}{x_2-x_1}$

We have points (1,6) and (2,2)

Slope is:

$Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{2-6}{2-1}\\Slope=\frac{-4}{2}\\Slope=-2$

Part a)

Write an equation of the line that passes through the given point and is (a) parallel

When the lines are parallel, they have same slope. So, slope of required line: m = -2

Using slope m =-2 and point(4,3) we can find y-intercept b

$y=mx+b\\3=-2(4)+b\\3=-8+b\\b=3+8\\b=11$

The equation of line will be:

$y=mx+b\\y=-2x+11$

Equation of the line that passes through the given point and is (a) parallel is: $\mathbf{y=-2x+11}$

Part b)

Write an equation of the line that passes through the given point and is (b) perpendicular

When the lines are perpendicular they have opposite slope. So, slope of required line: m = 1/2

Using slope m =1/2 and point(4,3) we can find y-intercept b

$y=mx+b\\3=\frac{1}{2}(4)+b\\3=2+b\\b=3-2\\b=1$

The equation of line will be:

$y=mx+b\\y=\frac{1}{2}x+1$

Equation of the line that passes through the given point and is (b) perpendicular is: $\mathbf{y=\frac{1}{2}x+1}$

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3 years ago

Ex 1: The sum of two numbers is 93 and their difference is 41.<br> Find them.

musickatia [10]

Let x = the larger number
Let y = the smaller number
x + y = 93
x - y = 19 Add the two equations together.
2x = 112 Divide both sides of the equation by 2.
x = 56
56 + y = 93 Subtract 56 from both sides of the equations.
y = 37

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3 years ago

What ratio is equivalent to 21/27 with lower terms

goldfiish [28.3K]

7/9 because if you simplify 21/27 you have to divide it by something that can go into both equally, which in this case is 3

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It’s 16 look at it a bit closer if you get confused step away and clear your mind a bit

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