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3 years ago

Plot the points (4, 0) and ( -1 - 2) on the coordinate plane.

Mathematics

1 answer:

Lana71 [14]3 years ago

4 0

Answer:

(8,90)

Step-by-step explanation:

8 and 90 together... (8,90)

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Marco is 8 years younger than his brother Paolo. If their product of their ages is 105, how old is Marco? plz help

Nina [5.8K]

Answer:

Marco's age is 7 years old

Step-by-step explanation:

Let

x ----> Marco's age

y ----> Paolo's age

we know that

$x=y-8$ ----> $y=x+8$ ----> equation A

$xy=105$ ----> equation B

substitute equation A in equation B

$x(x+8)=105$

$x^2+8x-105=0$

Solve the quadratic equation

The formula to solve a quadratic equation of the form

$ax^{2} +bx+c=0$

is equal to

$x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}$

in this problem we have

$x^2+8x-105=0$

$a=1\\b=8\\c=-105$

substitute in the formula

$x=\frac{-8(+/-)\sqrt{8^{2}-4(1)(-105)}} {2(1)}$

$x=\frac{-8(+/-)\sqrt{484}} {2}$

$x=\frac{-8(+/-)22} {2}$

$x=\frac{-8(+)22} {2}=7$

$x=\frac{-8(-)22} {2}=-15$

Remember that the solution cannot be a negative number

The solution is x=7

therefore

Marco's age is 7 years old

4 0

3 years ago

Simplify the following expression:<br> 4(x+10)-3x-2-x

Ilia_Sergeevich [38]

4x+40-3x-2-x
(4x-3x-x)=4x-4x=0
(40-2)=38
The answer will be 38

6 0

3 years ago

Find the integer value of x that satisfies both the inequalities

fomenos

The answer is x = 4 as it satisfies both inequalities :)

7 0

2 years ago

The equation of a circle is (x+7)²+(y−13)²=196 .<br><br><br> What is the center of the circle?

MatroZZZ [7]

Answer:im stuck on the same one

Step-by-step explanation:

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3 years ago

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Use mental math to find the amount of a 12% shipping fee for an item that costs $250. Explain your steps.

makvit [3.9K]

The shipping fee is $30
1. 12%×250
= 250×12/100
= 2.5 ×12
= 5/2×12
=60/2
=30

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4 years ago

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