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amid [387]
2 years ago
5

Simplify the following expression. 3x4 + 2x3 - 5x2 + 4x2 + 6x-2x-3x4 +7XS - 3X3

Mathematics
1 answer:
Sergio [31]2 years ago
5 0

Answer:

39+4x

Step-by-step explanation:

Since two opposites add up to zero, remove them from the expression

2x3-5x+2+4x2+6x-2x+7x5

Calculate the sum or difference

39+6x-2x

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with Judy jogging north and Jackie jogging west (on straight roads). When Jackie is 1 mile farther fro m the intersection than J
dolphi86 [110]
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


6 0
3 years ago
You have this information about ΔABC, ΔFDE, and ΔGIH:
Gre4nikov [31]

Answer:

All of the triangles are congruent. Answer A.

Step-by-step explanation:

In these triangles AB=FD=GI, m<B=m<D=m<I, and BC=DE=IH. So all these triangles are congruent by side angle side or SAS.

4 0
2 years ago
Read 2 more answers
Raju is cycling at a speed of 30km/h. He applies brakes and stops at a junction in 10s. Calculate the acceleration.
Sedbober [7]

Answer:

Acceleration = 3m/s²

Step-by-step explanation:

Here ,

Initial velocity = 30km/h

Final velocity = 0km/h

Time = 10s

Acceleration = ?

We know ,

A = v-u/t

or , A = 0-30/10

or, A = 30/10

A = 3m/s²

Therefore the acceleration is 3m/s²

7 0
2 years ago
the sales tax in your city is 4.4% and an item costs 3$ before tax how much tax will you pay on that item
Mashcka [7]

Answer:

$3.13

Step-by-step explanation:

3 x 1.044 = 3.132

3 0
3 years ago
If anyone could help, it would mean the world. thank you
kondaur [170]
I forgot that but good luck
7 0
2 years ago
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