(0.5*10*18) + (0.5*6*18)
= 54 + 90
= 144 square units
Hello :
<span>:-8>-5x+2>-38 equiv :
-38 </span>< -5x+2 <span>< -8
let : f(x) = -5x+2..... ( graph color red)
g(x) = -38 </span>..... ( graph color pruple)<span>
h(x) = -8 ......</span> ( graph color blue)
the absolute value inequality is : ] 2, 8<span>[ ( between the graph of g and h)</span>
This is a ratio problem. First, we need to add the number of students polled.
7 + 4 + 3 + 6 = 20
Next, look at how many out of 20 students selected Science.
3 out of 20.
Say it this way:
3 is to 20 as ? is to 400.
Express it this way:
3/20 = x/400
Cross multiply to eliminate the denominators.
3 x 400 = 20 x Now solve for x.
1200 = 20 x
x = 60
Check it!
Does 60/400 reduce to 3/20? Yes!
60 students are predicted to select science out of 400
Answer:
If a = 3
a -7 = -4
Step-by-step explanation:
Here, we want to find the value of a -7 given that a = 3
To find this value, we are going to make a substitution
We simply substitute 3 for the value of a
we have this as;
3 -7 = -4
First, we find the slope of the given line.
<span>3x − 4y = 7
-4y = -3x + 7
y = (3/4)x - 7/4
The slope of the given line is 3/4.
The slope of the parallel line is also 3/4.
Now we need the equation of the line that has slope 3/4 and passes through point (-4, -2),
We use the point-slope form of the equation of a line.
y - y1 = m(x - x1)
y - (-2) = (3/4)(x - (-4))
y + 2 = (3/4)(x + 4) <---- check option E. Is the fraction 3/4 not there?
y + 2 = (3/4)x + 3
y = (3/4)x + 1
4y = 3x + 4
3x - 4y = -4 <------ this is choice B.
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