The solution to the inequality in interval form is (-∞, -1/4)
<h3>Inequality expressions</h3>
Inequality are expressions not separates by an equal sign. Given the inequality below;
x+1<3/4
Subtract 1 from both sides to have;
x + 1 - 1 < 3/4 - 1
x < 3/4 - 1
x < (3-4)/4
x < -1/4
Hence the solution to the inequality in interval form is (-∞, -1/4)
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Answer:

Step-by-step explanation:
The given line is defined by:
, where we see that the slope is 5 and the y-intercept 1.
In order to find a line perpendicular to the given one, we need it to have a slope that is the "opposite of the reciprocal" of the given slope.
"Opposite" means it would have its sign inverted (in our case from positive to negative); and "reciprocal means that instead of 5, it would be its reciprocal:
.
We can write this new line with such slope, and try to find its y-intercept (b) by using the given condition that requires it to go through the point (-5,-4) on he plane:

we require then that when
, the value of
.
Therefore: 
Then our final answer is that the new line should have the form: 
Why is it so complicated? Volume of one cube is 1/2 * 1/2 * 1/2 = 1/8 cm^3
Volume of prism is 1/8 * 96 = 12 cm^3
In tue picture, we can see 2 triangles and they already labeled 2 congruent sides. We also see that the line in the middle is being shared between the 2 triangles, making the side equal. Using the SSS theorem, we can prove that these teiangles are congruent to each other. Hope this helps.
x = 5.
I attached an image of my work!
Step 1: Subtract 8 from both sides
4x = 20
Step 2: Divide each side by 4
x = 5