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3 years ago

The sum of two numbers is 21. The larger number is 6 less than twice the smaller number.

Mathematics

1 answer:

romanna [79]3 years ago

5 0

Answer:

The two numbers are,

9 and 12

Step-by-step explanation:

let x represent the smaller number.

larger number=2x-6

2x-6+x=21

3x-6=21

3x=21+6

3x=27

x=9

the smaller number is 9

the bigger number is 2(9)-6=18-6=12.

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The answer is 15and not the others

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3 years ago

Determine the number of real solutions of -2x^2+5x-3=0

Tema [17]

Answer:

Two distinct real solutions.

Step-by-step explanation:

Given the equation in the form $ax^2+bx+c=0$ , you need to find the Discriminant with this formula:

$D=b^2-4ac$

For the equation $-2x^2+5x-3=0$ you can identify that:

$a=-2\\b=5\\c=-3$

Then, substituting these values into the formula, you get that the Discriminant is:

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3 years ago

A triangle is graphed in the coordinate plane. The vertices of the triangle have coordinates (–3, 1), (1, 1), and (1, –2). What

vladimir2022 [97]

Answer:

The perimeter of the triangle is $12\ units$

Step-by-step explanation:

Let

$A(-3,1),B(1,1),C(1,-2)$

we know that

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$P=AB+BC+AC$

the formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

step 1

Find the distance AB

$A(-3,1),B(1,1)$

substitute in the formula

$AB=\sqrt{(1-1)^{2}+(1+3)^{2}}$

$AB=\sqrt{(0)^{2}+(4)^{2}}$

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step 2

Find the distance BC

$B(1,1),C(1,-2)$

substitute in the formula

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step 3

Find the distance AC

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substitute in the formula

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$AC=\sqrt{(-3)^{2}+(4)^{2}}$

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step 4

Find the perimeter

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substitute the values

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