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2 years ago

Find three solutions of the equation y=-5x+1

Mathematics

1 answer:

Alchen [17]2 years ago

3 0

Answer:

(–2, 11), (1, –4), (0, 1)

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A system of equations is shown below. y = –x – 3 5x + 2y = 9 What is the solution to this system?

erastovalidia [21]

Answer:

$x=5\ and\ y=-8$

The solution of the system can be given as (5,-8).

Step-by-step explanation:

Given system of equations:

$y=-x-3$

$5x+2y=9$

To solve the given system of equations:

Solution:

We will use substitution to solve the given system.

We will substitute the $y$ values in terms of $x$ from the equation $y=-x-3$ into the other equation to solve for $x$

Substituting $y=-x-3$ into $5x+2y=9$ .

We have:

$5x+2(-x-3)=9$

Using distribution.

$5x-2x-6=9$

Combining like terms.

$3x-6=9$

Adding 6 both sides.

$3x-6+6=9+6$

$3x=15$

Dividing both sides by 3.

$\frac{3x}{3}=\frac{15}{3}$

∴ $x=5$

Plugging in $x=5$ into $y=-x-3$ .

We have,

$y=-5-3$

∴ $y=-8$

The solution of the system can be given as (5,-8).

4 0

3 years ago

Expand: In (4a)^3 help please

Gala2k [10]

Answer: 3ln4 + 3lna

Step-by-step explanation:

$\ln (4a)^{3}\\=3 \ln 4a\\=3(\ln 4+\ln a)\\=\boxed{3\ln 4+3\ln a}$

4 0

1 year ago

An isosceles triangle has an angle that measures 38degrees. What measures are possible for the other two angles? Choose all that

Sphinxa [80]

Answer:

71° and 71°.

⠀

Step-by-step explanation:

The triangle having two sides equal along with one different side is called an isosceles triangle.

⠀

So, Let us assume the other sides (two equal sides) of the isosceles triangle as x. As the different side is already given in the question.

⠀

We know that,

The sum of all angles of a triangle is 180°

⠀

So, According to the question :

⠀

${\longrightarrow \it\qquad { \ { { 38 \: }^{ \circ} + x + x = 180{}^{ \circ} }}}$

⠀

${\longrightarrow \it\qquad { \ { { 38 \: }^{ \circ} + 2x = 180{}^{ \circ} }}}$

⠀

${\longrightarrow \it\qquad { \ { 2x = 180{}^{ \circ} - { 38 \: }^{ \circ}}}}$

⠀

${\longrightarrow \it\qquad { \ { 2x = 142{}^{ \circ} }}}$

⠀

${\longrightarrow \it\qquad { \ { x = \dfrac{142{}^{ \circ}}{2} }}}$

⠀

${\longrightarrow \it\qquad { \pmb { x = 71^{ \circ} }}}$

⠀

Therefore,

The measure of the two other angles of the isosceles triangle are 71° and 71°.

3 0

2 years ago

A minimum temperature of -4.44°C was recorded at a lake. A minimum temprature of 23.3°C was recorded later on the same day. Dete

GuDViN [60]

Answer:

27.74 is the difference

Step-by-step explanation:

23.3° C - (-4.44° C)

23.3 + 4.44

27.74

5 0

2 years ago

How many centimeters are there in 75 meters?

kumpel [21]

Answer:

7500. There are 100 centimeters in a meter therefore 75 meters have 7500 centimeters.

3 0

3 years ago

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