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vagabundo [1.1K]
3 years ago
7

8 x 6 = 8 x(5 + [] ) = (8 x 5) + (8 x [] ) = 40 + [] = []

Mathematics
1 answer:
melisa1 [442]3 years ago
5 0

Answer:

Step-by-step explanation:

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Using Cramer's rule to solve linear systems.
Rzqust [24]

Answer: Last Option

x=2,\ y=-5

Step-by-step explanation:

Cramer's rule says that given a system of equations of two variables x and y then:

x =\frac{Det(A_X)}{Det(A)}

y =\frac{Det(A_Y)}{Det(A)}

For this problem we know that:

Det(A) = |A|=\left|\begin{array}{ccc}4&-6\\8&-2\\\end{array}\right|

Solving we have:

|A|= 4*(-2) -(-6)*8\\\\|A|=40

Det(A_X) = |A_X|=\left|\begin{array}{ccc}38&-6\\26&-2\\\end{array}\right|

Solving we have:

|A_X|=38*(-2) - (-6)*26\\\\|A_X|=80

Det(A_Y) = |A_Y|=\left|\begin{array}{ccc}4&38\\8&26\\\end{array}\right|

Solving we have:

|A_Y|=4*(26) - (38)*8\\\\|A_Y|=-200

Finally

x =\frac{|A_X|}{|A|} = \frac{80}{40}\\\\x=2

y =\frac{|A_Y|}{|A|} = \frac{-200}{40}\\\\y=-5

4 0
3 years ago
Which statements about the diagram are true? Select three
stepan [7]

Answer : The correct options are:

DE + EF > DF

5 < DF < 13

Δ DEF is a scalene triangle.

Step-by-step explanation :

As we know that there are three types of triangle.

(1) Equilateral triangle : It is a triangle in which the three sides and angle are equal.

(2) Isosceles triangle : It is a triangle in which the two sides and two angle are equal.

(3) Scalene triangle : It is a triangle in which the three sides and angle are not equal.

Now we have to determine the length DF.

using Pythagoras theorem:

(Hypotenus)^2=(Perpendicular)^2+(Base)^2

(9)^2=(Perpendicular)^2+(4)^2

81=(Perpendicular)^2+16

(Perpendicular)^2=81-16

(Perpendicular)^2=65

Perpendicular=8.06

The length DF = 8.06 unit

So, we can say that:

DE + EF > DF

Hence, from the given options we conclude that, the correct options are:

DE + EF > DF

5 < DF < 13

Δ DEF is a scalene triangle.

8 0
3 years ago
Read 2 more answers
amy is building a house. the basement floor is at -15 feet. the roof of the house is above the ground 25 feet. express the compa
Deffense [45]

Answer:  375 sq.ft

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Write the polynomial in standard form. Then identify the polynomial by the number of terms -5x^2-2x^3-4x
iVinArrow [24]
Hello :
-5x^2-2x^3-4x =-2x^3-5x^2-4x.....(<span> standard form.)
</span><span>the number of terms are : -2 , -5 , -4 ,0</span>
7 0
3 years ago
Factor to find the zeros of the function defined by the quadratic expression. −7x2 − 91x − 280
Mariulka [41]
There are no zeroes for an expression, only for equations.
Assuming equation to be
<span>−7x^2 − 91x − 280=0
-7(x^2+13x+40)=0
-7(x+8)(x+5)=0
by the zero product properties, 
x+8=0 => x=-8
or 
x+5=0 => x=-5</span>
3 0
3 years ago
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