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gladu [14]
3 years ago
6

Time for reading solving inequalities with decimals

Mathematics
1 answer:
PolarNik [594]3 years ago
6 0
<span><span>The velocity of an object fired directly upward is given by <span>V = 80 – 32t</span><span>, where </span>t<span> is in seconds. 

When will the velocity be between </span>32<span>and </span>64<span> feet per second?</span></span><span>I will set up the compound inequality, and then solve for </span>t:</span><span><span>    32 < 80 – 32t < 64</span> <span>
    32 – 80 < 80 – 80 – 32t < 64 – 80</span> <span>
    –48 < –32t < –16</span><span>    –48 /<span> –32</span></span><span>  >  </span><span><span>–32t</span> /<span> –32</span>  </span><span>>  </span><span>–16 /<span> –32</span></span><span>    1.5 > t > 0.5</span></span>
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-4 y over 5 equals -20
AlladinOne [14]

y = 25 is the answer.

8 0
3 years ago
Calculate the perimeter and area of this shape.
Bond [772]

area = 25.5 cm²

Step-by-step explanation:

i have shown in the image you have to rotate it to see how i worked the area out

i am very sorry i cant work the perimeter out since i have no idea what the length of the two sides of the triangle are . if you need help on understanding how i worked out the area please let me know .

hopefully i was able to help you in half of the question i am sorry for not helping on the perimeter :)

8 0
2 years ago
Can someone help me with this? its solving systems by substitution
yKpoI14uk [10]
Answer: x = 1 and y = 2

Given:
y = -3x + 5
5x - 4y = -3

Since we are given y, let’s sub it in the second equation.

5x - 4(-3x + 5) = -3
5x + 12x - 20 = -3
17x = 17
x = 1

After finding x, we can now find y.

5(1) - 4y = -3
-4y = -8
y = 2

Checking:

y = -3x + 5
2 = -3(1) + 5
2 = 2


5x - 4y = -3
5(1) - 4(2) = -3
-3 = -3
8 0
3 years ago
Two lines in a plane that never intersect are<br>called​
mel-nik [20]

Answer:

Two lines, both in the same plane, that never intersect are called parallel lines. Parallel lines remain the same distance apart at all times.

Step-by-step explanation:

parallel lines.

3 0
3 years ago
Read 2 more answers
Point B has coordinates ​(4,1). The​ x-coordinate of point A is -4. The distance between point A and point B is 10 units. What a
klasskru [66]

Given:

Point B has coordinates ​(4,1).

The​ x-coordinate of point A is -4.

The distance between point A and point B is 10 units.

To find:

The possible coordinates of point​ A.

Solution:

Let the y-coordinate of point A be y. Then the two points are A(-4,y) and B(4,1).

Distance formula:

D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

The distance between point A and point B is 10 units.

\sqrt{(4-(-4))^2+(1-y)^2}=10

Taking square on both sides, we get

(8)^2+(1-y)^2=100

(1-y)^2=100-64

(1-y)^2=36

Taking square root on both sides, we get

(1-y)=\pm \sqrt{36}

-y=\pm 6-1

y=1\mp 6

y=1-6 and y=1+6

y=-5 and y=7

Therefore, the possible coordinates of point​ A are either (-4,-5) or (-4,7).

7 0
3 years ago
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