1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
inna [77]
3 years ago
13

Find the values of x and y if 5 ˣ⁻³ x 3²ʸ⁻⁸ =225

Mathematics
1 answer:
-BARSIC- [3]3 years ago
5 0

Answer:

x = 5, y = 5

Step-by-step explanation:

{5}^{x - 3}  \times  {3}^{2y - 8}  = 225 \\ {5}^{x - 3}  \times  {3}^{2y - 8}  = 25 \times 9 \\  {5}^{x - 3}  \times  {3}^{2y - 8}  =  {5}^{2} \times  {3}^{2}  \\ equating \: like \: power \: terms \: from \: both \:\\ sides \\ {5}^{x - 3}  =  {5}^{2} \\ x - 3 = 2 (Bases\: are\: equal, \: so\: exponents \: \\will\: also\: be\: equal) \\ x = 3 + 2 \\ \huge \red{ \boxed{ x = 5}} \\  \\ {3}^{2y - 8}  = {3}^{2} \\ 2y - 8 = 2(Bases\: are\: equal, \: so\: exponents \: \\will\: also\: be\: equal)  \\ 2y = 2 + 8 \\ 2y = 10 \\ y =  \frac{10}{2}  \\ \huge \purple{ \boxed{y = 5}}

You might be interested in
28 + 56t + 28w equivalent expressions
irina [24]

Answer:

28(1+2t+w)

Step-by-step explanation:

8 0
3 years ago
traingle ABC has been dilated aboit point A by a scale factor of 1/3. What are the lengths, in units, of the three sides of tria
solniwko [45]

Answer:

You need to show the graph so i can see numbers, you cant dilate the traingle without knowing where it is on the graph.

Step-by-step explanation:

4 0
3 years ago
Given that triangle ABC is congruent to triangle DEF find x and y
Charra [1.4K]
X will equal 12, and y will equal 18.
6 0
3 years ago
Pls help me with this
ValentinkaMS [17]
I don’t see anything
6 0
3 years ago
If the confidence level is decreased and the standard deviation and sample size stay the same, then the margin of error will be
Eduardwww [97]

Answer:

true

Step-by-step explanation:

If the standard deviation is increased and the sample size and confidence level stay the same, then the margin of error will also be increased

3 0
3 years ago
Other questions:
  • By installing efficient water fixtures the average American can reduce water use to about 45 gallons of water per day.Using such
    12·1 answer
  • A pairs of fair dice is tossed . What is the probability of not getting a sum 5 or 9 ?
    8·1 answer
  • Identify √169/64 as rational or irrational and explain your reasoning.
    8·1 answer
  • Write the number 4<br> 4 as a product of prime factors.
    14·1 answer
  • Liam walks 2 kilometers every day. How far does Liam walk in 7 days?
    13·2 answers
  • What are two integers whose product is 0
    9·1 answer
  • Naiomis fish is 40 mm long her guinea pigis 25cm long
    5·1 answer
  • Pls help i really need it
    7·1 answer
  • 5(2x+7x)=-31 +36 whats the anser
    11·2 answers
  • SOLVE FOR x:3+2(8x-1)=5+4(4x-6)<br> I'm giving you brainliest if your right
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!