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4 years ago

I WILL GIVE BRAINLIEST TO WHOEVER IS CORRECT

Mathematics

1 answer:

natali 33 [55]4 years ago

3 0

Because M is the midpoint of AB, then AM and MB are equal distances. And because a segment can be written as the sum of its pieces, AM + MB = AB.

So,

AM + MB = AB <--- distance of a segment is the sum of its pieces

AM + AM = AB <--- M is the midpoint, so AM = MB

3x + 3 + 3x + 3 = 8x - 6 <--- substituting known amounts that were given

6x + 6 = 8x - 6 <--- collect like terms on the left side

6x = 8x - 12 <--- subtract 6 on both sides

-2x = -12 <--- subtract 8x on both sides

x = 6 <--- divide both sides by -2

Because x = 6, we put it back into AM. 3(6) + 3 = 18 + 3 = 21

Thus, AM is 21 units.

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MariettaO [177]

Answer:

1.The ratio of dogs to cats is 3 to 4

2. For every 3 dogs there are 4 cats.

Step-by-step explanation:

5 0

3 years ago

The surface area of a rectangular prism is 15 m2.

ch4aika [34]

$1.5$ × $10^5$ = 150,000

You answer is C. 150,000 cm²

4 0

3 years ago

Tema [17]

Answer:

$y = \frac{1}{2} x+7$

Step-by-step explanation:

Slope-intercept form: y = mx + b

Slope formula: $\frac{y2-y1}{x2-x1}$

Given points: (-6, 4), (6, 10)

(-6, 4) = (x1, y1)

(6, 10) = (x2, y2)

To write the equation in slope-intercept form, we need to find the slope(m) and the y-intercept(b) of the equation.

First, let's find the slope. To do this, input the given points into the slope formula:

$\frac{10-4}{6-(-6)}$

Simplify:

10 - 4 = 6

6 - (-6) = 6 + 6 = 12

$\frac{6}{12}=\frac{1}{2}$

The slope is $\frac{1}{2}$ .

To find the y-intercept, input the slope and one of the given points(in this example I'll use point (6, 10)) into the equation and solve for b:

$10 = \frac{1}{2}(6)+b$

10 = 3 + b

7 = b

The y-intercept is 7.

Now that we know the slope and the y-intercept, we can write the equation:

$y = \frac{1}{2} x+7$

4 0

4 years ago

Dave was playing checkers with a friend. The ratio of games Dave won was 10:7. If Dave won 80 games, how many games did his frie

Mila [183]

The answer is 56! How you do this, is you take 80, and you multiply it by 7. Then you divide that answer by 10. Then you have your answer! I’m really bad at math but I do know how to do that!

5 0

3 years ago

Answer the following <br><br> please give steps of how you got your answer

konstantin123 [22]

Answer: x^4

Step-by-step explanation:

1. Rewrite the expression in fraction form:

(3√x²)^6 = x^(2/3)^6

2 is the exponent, so when written in fraction form, it is the numerator. 3 is the index or root, so in fraction form it is the denominator.

2. Solve:

x^(2/3)^6 = x^(12/3) = x^4

Because the exponent 2/3 is raised to the power of 6, you can use the power rule, which basically just means that whenever an exponent is raised to an exponent, multiply them. So, 2/3 * 6 equals 12/3, and 12/3 equals 4, making your answer x^4.

5 0

3 years ago