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nasty-shy [4]
2 years ago
7

A flare was launched straight up from the ground with an initial velocity of 176ft/s and returned to the ground after 11 s.

Mathematics
1 answer:
posledela2 years ago
3 0

Answer i am not sure wht it is srry

Step-by-step explanation:

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If we are given x such that 25^x-9^y=18 and 5^x-3^y=3, compute 5^x+3^y.
leonid [27]

25 = 5*5 and 9 = 3*3, which we can exploit to write

25^x-9^y=(5^2)^x-(3^2)^y=5^{2x}-3^{2y}=(5^x)^2-(3^y)^2

so that this expression is actually a difference of squares. We can factorize this to get

(5^x-3^y)(5^x+3^y)=18

and given that 5^x-3^y=3, we divide both sides by this to get

5^x+3^y=\dfrac{18}3=\boxed{6}

7 0
2 years ago
John has $30. He spends $20 on a pants, and $25 on a shirt. How much money does he have now?
Nataly_w [17]
-15 why cause ehe had 30 dollars and he first soent 20 such equals to 10 then he soends 25 such equals to -15
3 0
2 years ago
Read 2 more answers
please help me, Prove a quadrilateral with vertices G(1,-1), H(5,1), I(4,3) and J(0,1) is a rectangle using the parallelogram me
mestny [16]

Answer:

Step-by-step explanation:

We are given the coordinates of a quadrilateral that is G(1,-1), H(5,1), I(4,3) and J(0,1).

Now, before proving that this quadrilateral is a rectangle, we will prove that it is a parallelogram. For this, we will prove that the mid points of the diagonals of the quadrilateral are  equal, thus

Join JH and GI such that they form the diagonals of the quadrilateral.Now,

JH=\sqrt{(5-0)^{2}+(1-1)^{2}}=5 and

GI=\sqrt{(4-1)^{2}+(3+1)^{2}}=5

Now, mid point of JH=(\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2})

=(\frac{5+0}{2},\frac{1+1}{2})=(\frac{5}{2},1)

Mid point of GI=(\frac{5}{2},1)

Since, mid point point of JH and GI are equal, thus GHIJ is a parallelogram.

Now, to prove that it is a rectangle, it is sufficient to prove that it has a right angle by using the Pythagoras theorem.

Thus, From ΔGIJ, we have

(GI)^{2}=(IJ)^{2}+(JG)^{2}                             (1)

Now, JI=\sqrt{(4-0)^{2}+(3-1)^{2}}=\sqrt{20} and GJ=\sqrt{(0-1)^{2}+(1+1)^{2}}=\sqrt{5}

Substituting these values in (1), we get

5^{2}=(\sqrt{20})^{2}+(\sqrt{5})^{2} }

25=20+5

25=25

Thus, GIJ is a right angles triangle.

Hence, GHIJ is a rectangle.

Also, The diagonals GI=\sqrt{(4-1)^{2}+(3+1)^{2}}=5  and HJ=\sqrt{(0-5)^2+(1-1)^2}=5 are equal, thus, GHIJ is a rectangle.

6 0
2 years ago
Mr Jansen budget is $400 for clothes. if he buys a new suit for 290$ and a tie for $35 how many shirts can he buy at 20$ each. ​
Evgen [1.6K]

Answer:

the answer is 3

5 0
3 years ago
Read 2 more answers
What is (8 - 3p)( -2 ) using distributive property
Llana [10]
When you use the Distributive Property you're really just multiplying the number on the outside by all of the numbers on the inside of the parentheses.

(8 - 3p) (-2)   Multiply -2 by 8 and -3p
-2(8) + (-2)(-3p)   Multiply
-16 + 6p
3 0
3 years ago
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