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GrogVix [38]
2 years ago
13

Stuart needs to run by the store on his way to school. He begins at home, which on a coordinate plane is represented by the poin

t (0,4). He walks to the store, which is the equivalent of walking 2 units right and 4 units down. After grabbing something to eat for lunch, he walks 3 units to the left and 5 units up to school. What point represents the school
Mathematics
1 answer:
Elza [17]2 years ago
7 0
-1,5 is the correct answer here. 0+2, 4-4 then 2-3 0+5.
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Demonstrate two different ways to solve the equation 5^(2x+1) = 25.
Tanzania [10]

Answer:

Step-by-step explanation:

Method 1: Taking the log of both sides...

So take the log of both sides...

5^(2x + 1) = 25

log 5^(2x + 1) = log 25 <-- use property: log (a^x) = x log a...

(2x + 1)log 5 = log 25 <-- distribute log 5 inside the brackets...

(2x)log 5 + log 5 = log 25 <-- subtract log 5 both sides of the equation...

(2x)log 5 + log 5 - log 5 = log 25 - log 5

(2x)log 5 = log (25/5) <-- use property: log a - log b = log (a/b)

(2x)log 5 = log 5 <-- divide both sides by log 5

(2x)log 5 / log 5 = log 5 / log 5 <--- this equals 1..

2x = 1

x=1/2

Method 2

5^(2x+1)=5^2

2x+1=2

2x=1

x=1/2

3 0
3 years ago
Joaquin bought a bookcase on sale for $120, which was two-thirds of the original price. What was the original price of the bookc
weqwewe [10]
180
Because 120 divided by 2 is 60.
And 120 + 60 is 180
7 0
3 years ago
Plllllllease helpppppp
Anna007 [38]

Answer:

Step-by-step explanation:

b/c we know that these triangles both have equal sides... that is given that <u>ab</u> and<u> be</u> are the same length.   and that <u>be </u>and <u>cd</u> are parallel , we know that they both are isosceles triangles and that the base angles are the same.  The side on <u> ad </u>and<u> ae</u>  have equal angles.

so we can make the equation

2a +56 = 180  (b/c we know that around a triangle it's 180°

2 a = 124

a = 62

so ∠ BAE = 62°

:)

3 0
3 years ago
I'm really not sure how to go about solving this algebraic equation, please help! .513 = (2x)^2 / (.05-x)
LiRa [457]
Let's set it up like this:
0.513=\frac{\left(2x\right)^2}{\left(0.05-x\right)}
Multiply both sides by 0.05-x
0.513\left(0.05-x\right)=\frac{\left(2x\right)^2}{0.05-x}\left(0.05-x\right)
0.513\left(0.05-x\right)=4x^2
We are then going to use the distributive property. Since we also know that the opposite of an number that is squared is the square root, we can also apply that. We would be left with something like this:
x=-\frac{0.513+\sqrt{0.673569}}{8},\:x=\frac{\sqrt{0.673569}-0.513}{8}
The variable x can be both positive or negative.
We have found successfully our answer.

Let me know if you have any questions regarding this problem!
Thanks!
-TetraFish<span />
4 0
3 years ago
What is the solution to the inequality?
hammer [34]
The solution is C. x is less than negative 2.
5 0
3 years ago
Read 2 more answers
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