Which even number comes right before 29?
2 answers:
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Judy's distance from the intersection: d
<span>When Jackie is 1 mile farther from the intersection than Judy:
</span>Jakie's distance from the intersection: d+1
T<span>he distance between them is 2 miles more than Judy’s distance from the intersection: d+2
</span>How far is Jackie from the intersection?
d+1=?
Using the Pythagoras Theorem:
c^2=a^2+b^2; a=d, b=d+1, c=d+2
(d+2)^2=(d)^2+(d+1)^2
(d)^2+2(d)(2)+(2)^2=d^2+(d)^2+2(d)(1)+(1)^2
d^2+4d+4=d^2+d^2+2d+1
d^2+4d+4=2d^2+2d+1
d^2+4d+4-d^2-4d-4=2d^2+2d+1-d^2-4d-4
0=d^2-2d-3
d^2-2d-3=0
Factoring:
(d-3)(d+1)=0
d+1=0→d+1-1=0-1→d=-1<0 (negative): No possible. The distance can't be negative.
d-3=0→d-3+3=0+3→d=3 miles>0 (positive): Ok
Jakie's distance from the intersection=d+1=3+1→d+1=4 miles
Answer: <span>Jackie is 4 miles far from the intersection
</span>
Please, see the attached file.
Thanks
<span>When Jackie is 1 mile farther from the intersection than Judy:
</span>Jakie's distance from the intersection: d+1
T<span>he distance between them is 2 miles more than Judy’s distance from the intersection: d+2
</span>How far is Jackie from the intersection?
d+1=?
Using the Pythagoras Theorem:
c^2=a^2+b^2; a=d, b=d+1, c=d+2
(d+2)^2=(d)^2+(d+1)^2
(d)^2+2(d)(2)+(2)^2=d^2+(d)^2+2(d)(1)+(1)^2
d^2+4d+4=d^2+d^2+2d+1
d^2+4d+4=2d^2+2d+1
d^2+4d+4-d^2-4d-4=2d^2+2d+1-d^2-4d-4
0=d^2-2d-3
d^2-2d-3=0
Factoring:
(d-3)(d+1)=0
d+1=0→d+1-1=0-1→d=-1<0 (negative): No possible. The distance can't be negative.
d-3=0→d-3+3=0+3→d=3 miles>0 (positive): Ok
Jakie's distance from the intersection=d+1=3+1→d+1=4 miles
Answer: <span>Jackie is 4 miles far from the intersection
</span>
Please, see the attached file.
Thanks
The simplified product of and -3
is -30
.
Given Two expressions: -3 and 2
.
We have to multiply both the expressions and it can be done as under:
-3 *2
Firstly we have to multiply -3 with 2 to get
=-6
Then we have to find square root of x cube and x square which is x to the power 3/2 and x to the power 1.
=
Now we have to multiply both the numbers in the root to get the answer;
=-6
Square root of 50 is 5 root 2.
=-6*5
=-30
Hence the simplified product is -30.
Learn more about product here brainly.com/question/10873737
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