A vertical line has an equation of the form x = k, where k is the x-coordinate of all points on the line.
You have a vertical line. It passes through the point (-3, 0), so for this line, k = -3.
The vertical line has equation x = -3.
The line is dashed, not solid, so you have either < or >, but not <= or >=.
Also, notice the shading is to the left of x = -3, so all values of x are less than -3.
The inequality is
x < -3
Answer:
Fill in the blank with 14
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Step-by-step explanation:
Given
The attached table
Required
Fill in the gap
Since, the table represents a linear function.
The first step is to calculate the slope of the table
Where
The equation of the table is calculated next as:
This becomes
Solve for y
To fill in the blank;
The value of x is 4
So, substitute 4 for x in
Let w = width of the rectangle
<span>4w+7 = length of the rectangle </span>
<span>perimeter = 2 lengths + 2 widths </span>
<span>2w + 2(4w+7) = 54 </span>
<span>2w + 8w + 14 = 54 </span>
<span>10w = 40 </span>
<span>w = 4 </span>
<span>4w+7 = 23 </span>
<span>dimensions of rectangle: </span>
<span>width = 4 </span>
<span>length = 23 hope this helps</span>
Answer:
i think about 4.1 miles
Step-by-step explanation:
High school math tip: learn how to apply the ratios 1:1:√2 for the 45/45/90 right triangle and 1:√3:2 for the 30/60/90 triangle; these two triangles probably constitute 90% of the examples and problems you'll see.
He we have half a square, the 45/45/90 isosceles right triangle, sides in ratio 1:1:√2. We write that ratio for our sides and solve.
1:1:√2 = (3/2)√2 : y : x
Ratios are pretty much like fractions, and we can make fraction equations out of corresponding pairs:
1/1 = ( (3/2)√2 ) / y
y = (3/2)√2
1 /√2 = (3/2)√2 / x
x = (3/2)√2 × √2 = (3/2)(2) = 3
Answer: y = (3/2)√2, x = 3
It's not too hard to get fast at these and just say y=(3/2)√2 because it's an isosceles triangle and x = y×√2 = 3 for the hypotenise.
