What is -0.8x - 6 < -10

1 answer:

7 0

Solving an equation is simply like solving an equation. For this problem, you must add 6 on both sides to get -0.8x alone. -10 + 6 would equal -4. Therefore, the inequality would look like this: -0.8x < -4
Now you have to divide -0.8 on both sides to have x alone. Since you are dividing a negative to the other side, the sign flips to >. When you divide -0.8 to -4, the answer would be 5. So therefore, the answer is: x > 5
In order to check this, you must plug in 5 into the x. -0.8 times 5 would equal -4. -4 - 6 would equal -10. -10 is the same as the other side. (-10 < -10) That means the answer would be correct. Hope this helps; cheers, mimiisawesome5

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Quadrilateral A B C D, the measure of, angle A, angle B, angle C, angle D are a ratio of 1:2:3:4, respectively. Find the measure

Svetach [21]

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Step-by-step explanation:

The angles of a quadrilateral have to add up to equal 360. That means that

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What is the area of the rectangle shown on the coordinate plane? Enter your answer in the box. Do not round at any steps. units²

Goshia [24]

<h3>Answer: 42 square units</h3>

Check out the attached images below. In figure 1, I plotted the four points given as A, B, C, D; then connected them to form a rectangle.

Figure 2 shows 4 more points E, F, G, H made so that a larger rectangle forms. This newer larger rectangle entirely encloses the first rectangle. The idea is to find the area of the larger rectangle, and subtract off the areas of the four triangular pieces shown in figure 3. These images are attached below.

area of rectangle EFGH = base*height = 10*10 = 100

area of triangle ABE = base*height/2 = 3*3/2 = 4.5

area of triangle ADH = base*height/2 = 7*7/2 = 24.5

area of triangle CGD = base*height/2 = 3*3/2 = 4.5

area of triangle FCB = base*height/2 = 7*7/2 = 24.5

the four triangles have areas that add up to 4.5+24.5+4.5+24.5 = 58

Subtract this from the area of rectangle EFGH to get 100-58 = 42

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alternatively, you can find the distance from A to B getting roughly 4.24264 (use the distance formula). The distance from B to C is roughly 9.89949

Multiply those two values: 4.24264 * 9.89949 = 41.9999722536 which rounds to 42. There's rounding error based on the fact that the previously mentioned decimal values are approximate.