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bulgar [2K]
3 years ago
13

a triangles height is 4dm less than the length of its base. the area is 6dm^2. find the length of the base and the height

Mathematics
1 answer:
I am Lyosha [343]3 years ago
4 0
Let the base be b. Then the height is b-4. So:
1/2(b)(b-4)=6
b²-4b-12=0
(b-6)(b+2)=0
b=6
b-4=2
☺☺☺☺
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A representative from each of seven nations is to sit at a round table to discuss trade relations. How many ways can the represe
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The correct answer is 720. Just turned it in and got a 100. Good luck and hoped this help ya.
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3 years ago
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Rectangle A measures 10 inches by 8 inches. Rectangle B is an enlarged copy of Rectangle A. Select all of the measurement pairs
Fudgin [204]

Answer:

See Explanation

Step-by-step explanation:

Given

Rectangle A:

Length: 10\ in

Width: 8\ in

Required

Determine the possible dimensions of Rectangle B

<em>The question has missing options; however, the question can still be solved.</em>

<em></em>

Rectangle B being an enlarged copy of A implies that the dimension of A A is enlarged in equal proportion to form B

Take for instance, the measurements of Rectangle B are

Length: 15 in

Width: 12 in

Divide the corresponding lengths of B by A to get the enlargement ratio

Ratio = \frac{B}{A}

For length:

Ratio = \frac{15}{10}

Ratio = 1.5

For width

Ratio = \frac{12}{8}

Ratio = 1.5

Notice that both ratios are the same.

For this measurement of B, we can conclude that B is an enlargement of A

Assume another measurements for B

Length: 20\ in

Width: 10\ in

Calculate Ratios

Ratio = \frac{B}{A}

For length:

Ratio = \frac{20}{10}

Ratio = 2

For width

Ratio = \frac{10}{8}

Ratio = 1.25

Notice that, both ratios are not equal.

For this measurement of B, we can conclude that B is not an enlargement of A

<em>Conclusively, all you have to do is: determine the ratios of the dimensions of B to A, if the result are equal then B is an enlarged copy of A; if otherwise, then B is not an enlarged copy</em>

5 0
3 years ago
| 2x + 9 | = 15<br> Help pls
ikadub [295]

Answer:

x = 3 and x = -12

Step-by-step explanation:

To solve an absolute value equation, you create two equations, one where the right side is negated and one where the right side isn't:

| 2x + 9 | = 15 becomes:

2x + 9 = 15 and 2x + 9 = -15

2x = 6 and 2x = -24

x = 3 and x = -12

Why this works is that |-x| and |x| will both be equal to 0. Remember that absolute value is the distance a number is away from 0.

4 0
3 years ago
I KNOW IT IT LONG BUT PLEASE HELP ME PLEASE
S_A_V [24]
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3 0
3 years ago
For what values of a the following expressions are true: |a|=−a
Ymorist [56]

Answer:

Any negative number and 0 works for the expression.

Step-by-step explanation:

Looking at this type of equation, we know that either EVERY negative number and 0 or EVERY positive number and 0 will work for this equation, since nothing is being added and we're just working with absolutes/negatives.

Let's try a random positive number in the expression

|6| = -(6)\\6 \neq -6

So this positive number doesn't work, let's just test with another one.

|9| = -(9)\\9 \neq -9

So we know that positive numbers won't work with this expression.

Let's test 0 quickly, just to make sure.

|0| = -0\\0 = 0

So 0 works.

Let's try a few negative numbers now.

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So yes, this does work. Let's try one more negative number.

|-120| = -(-120)\\120 = 120

This works. So, every negative number and 0 work with this equation.

Hope this helped!

6 0
3 years ago
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