Answer:
x ∈ (-oo ; 3)
Step-by-step explanation:
4x - 7 < 5
4x < 5 + 7
4x < 12
x < 12 : 4
x < 3
x ∈ (-oo ; 3)
Given:
Area and altitude PS of ∆PQR are ar(∆PQR) = 180cm² and PS = 15.
To find:
The measure of side QR.
Solution:
According to the given information, PS is an altitude of ∆PQR. It means QR is the base of ∆PQR.
We know that, the area of a triangle is
Substituting the given values, we get
Divide both sides by 15.
Therefore, the measure of side QR is 24 cm.
Answer:
Step-by-step explanation:
-5/4 is smaller than -2/3 since on the negative sides, any number who is larger is smaller.
0.75 is smaller than the square root of 3 since that equals to 1.7.
1.9 is smaller than the absolute value of -4 since that equals to 4.
Three consecutive odd integers would be x, x+2, and x+4 assuming x is an odd integer. The smallest of these is x. Two times x is 2x. The greatest integer is x+4. Three times this is 3 (x+4), and if you distribute you get 3x+12. If 2x exceeds this by 15, you would make it 3x+12-15. If you add the like terms, 12+(-15) is -3. So, you have 2x=3x-3. Subtract 3x from both sides. 2x-3x is -1x, or -x. Now we have -x=-3. Divide by -, or -1 on both sides. Now we have x=3. You can substitute x for 3 for any of the consecutive odd integers to find their value.
<h3>
Answer: b = 17</h3>
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Explanation:
The line must go through the point (5,2) which means x = 5 and y = 2 pair up together.
We'll plug these x and y values into the equation and solve for b.
y = -3x+b
2 = -3(5)+b
2 = -15+b
2+15 = b
17 = b
b = 17
The equation y = -3x+b turns into y = -3x+17
