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3 years ago

24 Is (2,-3) a solution to the linear equation y=5x-13

Mathematics

1 answer:

N76 [4]3 years ago

6 0

Answer:

True

Step-by-step explanation:

To solve, substitute known values:

$- 3 \stackrel{?}{ = }5(2) - 13$

Then simplify:

$- 3 \stackrel{?}{ = }10 - 13 \\ - 3 = - 3$

Since -3 = -3, it is a solution of the equation.

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Find the value of x in the triangle shown below.

Luba_88 [7]

Answer:

37°

Step-by-step explanation:

By definition all internal angles of a triangle add up to 180°

Hence,

98° + 45° + x = 180°

x = 180° - 98° - 45° = 37°

8 0

3 years ago

If AABC = ADEF, which segment is congruent to AC?

masha68 [24]

Answer:

Segment DF

Step-by-step explanation:

The corresponding vertices are in the same order in both triangles.

ABC

DEF

Segment AC is congruent to segment DF.

3 0

3 years ago

Anyone know the answer to this?

Mila [183]

First one is 114
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7 0

3 years ago

Number 1 and 2 please (25 points)

Elenna [48]

Answers:

1) $(3x+2)+(4-5x)=-2x+6$

$(3+2i)+(4-5i)=7-3i$

2) $(1-3x)(2+x)=-3x^{2}-5x+2$

$(1-3i)+(2+i)=5-5i$

Step-by-step explanation:

In mathematics there are rules related to complex numbers, specifically in the case of addition and multiplication:

<u>Addition: </u>

If we have two complex numbers written in their binomial form, the sum of both will be a complex number whose real part is the sum of the real parts and whose imaginary part is the sum of the imaginary parts (similarly as the sum of two binomials).

For example, the addition of these two binomials is:

$(3x+2)+(4-5x)=3x-5x+2+4=-2x+6$

Similarly, the addition of two complex numbers is:

$(3+2i)+(4-5i)=3+4+2i-5i=7-3i$ Here the complex part is the number with the $i$

<u>Multiplication: </u>

If we have two complex numbers written in their binomial form, the multiplication of both will be the same as the multiplication (product) of two binomials, taking into account that $i^{2}=-1$ .