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Paha777 [63]
3 years ago
12

Solve log8(x+2)-log8(x-1)=2/3

Mathematics
1 answer:
Alex17521 [72]3 years ago
7 0
You would simplify it too 2.70927 = 2/3 
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PLZ HELP HELP WITH ALL PART REALLY NEED HELP WITH THIS!!
Shalnov [3]
First, you should graph the points. For the first number, called the X-Axis, you should to the right or left, and for the second number, called the Y-Axis, you should go up or down.

To find the distance between Point A and Point C, you should simply just count the number of intersections between them (4).

Angle B is a right angle because if the triangle is bisected at B, it will leave a right angle on either side. Therefore, to label it, you should simply just draw a line through Point B all of the way to line (A,C).

The type of triangle you have drawn is an isosceles, because it has 2 equal angles and 2 equal sides.

We know both of the sides that are unknown will be the same because the triangle is bilateral. Then, we can use the bisection we made earlier to solve for the unknown sides using Pythagorean Theorem. Since earlier, we know the entire bottom is 4, we know half of the bottom is 2. We can also see that the height of the triangle is 2. We then plug those numbers into the Pythagorean Theorem (A^2*B^2=C^2) which makes the value of C^2=16. We then take the square root of C^2 and 16 to see that both unknown sides are 4.   



3 0
3 years ago
Justify the congruence between each of the following pairs of triangle.​
Fantom [35]

Answer:

Refer to the attachment for the labelling of the triangles.

In △ABC & △PQR,

∠A = ∠R (equal pair of angles)

∠B = ∠Q (equal pair of angles)

AC = PR (equal pair of sides)

•°• △ABC ≅ △RQP (Angle-Angle-Side congruence property → AAS property)

Hope it helps ⚜

5 0
2 years ago
THEIR AGES
snow_tiger [21]

Answer:

Tom’s age is 7 years

Mary’s age is 13 years

Step-by-step explanation:

Since we do not know the ages, let’s represent the ages by variables at first.

Let m represent mary’s age will t represent Tom’s age.

Now, let’s proceed to have equations.

Adding square of Tom’s age (t^2) to mary’s age give 62

t^2 + m = 62 •••••••(i)

Adding square of mary’s age (m^2) to Tom’s age give 176

m^2 + t = 176 •••••••(ii)

Now, to get the individual ages, we will need to solve both equations simultaneously.

Solving both equations simultaneously without mathematical softwares can be a little hard.

By the use of mathematical software ( wolfram alpha to be specific), we can input both equations and allow the software to solve.

By inputing these equations, we have the values of t to be 7 and m to be 13

And if we try to check by inspection, we can see that these values are actually correct.

7^2 + 13 = 62

13^2 + 7 = 176

6 0
3 years ago
A cylinder and a cone have the same volume. The cylinder has radius x and height y. The cone has radius 1/3x. Find the height of
Temka [501]

Great question! I had this question in Geometry on Edmentum.

Answer: Height of cone = 3y

Step-by-step explanation:

We know that the cylinder and the cone have the same volume. The cylinder has radius x and height y. We will make use of the formulas:

Volume of cylinder = πr²h

Volume of cone = 1/3πr²h

Since the cone has radius 1/3x, we will have to make its height 3 times of y (the height of the cylinder) to make both the cylinder and the cone have the same volume.

So, the height of the cone is equal to 3y.

Hope this helps, and have a wonderful day! :D

Please mark me brainliest! I don't have trouble getting points, but I do when it comes to brainliest.

7 0
3 years ago
A farmer has 500 acres to plant acres of corn, x, and acres of cotton, y. Corn costs $215 per acre to produce, and cotton costs
tatyana61 [14]

Answer:

The system  that represent the scenario is

x+y\leq500

215x+615y\leq 187,500

The solution in the attached figure

Step-by-step explanation:

Let

x-----> the acres of corn

y----> the acres of cotton

we know that

x+y\leq500 ------> inequality A

215x+615y\leq 187,500 -----> inequality B

using a graphing tool

the solution is the shaded area in the attached figure

8 0
3 years ago
Read 2 more answers
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