Answer:
20
Step-by-step explanation:
hope this helps
<span>If point P(3,10) is reflected across the line y=1, the coordinates of it's reflection image is (3,-8)
Answer is C.
Hope it helps!
</span>
Answer:
Inequality Form:
r ≥ 7
Interval Notation:
[7, ∞)
Step-by-step explanation:
−1.3 ≥ 2.9 − 0.6r
Rewrite so r is on the left side of the inequality.
2.9 − 0.6r ≤ −1.3
Move all terms not containing r to the right side of the inequality.
Subtract 2.9 from both sides of the inequality.
−0.6r ≤ −1.3 − 2.9
Subtract 2.9 from −1.3.
−0.6r ≤ −4.2
Divide each term by −0.6 and simplify.
Divide each term in −0.6r ≤ −4.2 by −0.6. When multiplying or dividing both sides of an
inequality by a negative value, f lip the direction of the inequality sign.
−0.6r
/−0.6 ≥ −4.2
/−0.6
Cancel the common factor of −0.6.
−4.2
r ≥ ______
−0.6
Divide −4.2 by −0.6.
r ≥ 7
The result can be shown in multiple forms.
Inequality Form:
r ≥ 7
Interval Notation:
[7, ∞)
Answer:
So, this triangle PQR can be broken into two right triangles, PNQ and PNR, with legs PQ = 39, PN =15, and QN = ? and PR = 17, PN = 15, and NR =? respectively.
Let's solve for what is easier first:
Since we know that 5-15-17 is a Pythagorean triplet, we can infer that NR is 5....like I said earlier, it is a right triangle, so this guess holds true.
Here comes the interesting part:
Now, we have one part of QR, which is QN.
The other part can be solved by using the Pythagorean theorem.
It is (39^2-15^2)^(1/2)..which gives you 36, the square root of 1296, which happens to be the difference between the squares of 15 and 39.
SO, QR = QN + NR
5+36 = 41
QR = 41.
Hope this helps!
It would x - 4 = y because tge opposite reciprocal of -1 is 1 and so using point slope form y + 2 = x - 2 and when simplified youll get x - 4 = y.
