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Lynna [10]
3 years ago
15

F is between E & G e f equals x - 7 + e g equals 4x + 3 find f g

Mathematics
1 answer:
navik [9.2K]3 years ago
6 0

Answer: FG = 3x + 10

<u>Step-by-step explanation:</u>

EF + FG = EG             <em>Segment Addition Postulate</em>

x-7 + FG = 4x+3         <em>Substitution</em>

 -7 + FG = 3x + 3       <em>Subtraction Property of Equality</em>

        FG = 3x + 10      <em>Addition Property of Equality</em>

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Consider the following sets of matrices: M2(R) is the set of all 2 x 2 real matrices; GL2(R) is the subset of M2(R) with non-zer
defon

Answer:

Step-by-step explanation:

REcall the following definition of induced operation.

Let * be a binary operation over a set S and H a subset of S. If for every a,b elements in H it happens that a*b is also in H, then the binary operation that is obtained by restricting * to H is called the induced operation.

So, according to this definition, we must show that given two matrices of the specific subset, the product is also in the subset.

For this problem, recall this property of the determinant. Given A,B matrices in Mn(R) then det(AB) = det(A)*det(B).

Case SL2(R):

Let A,B matrices in SL2(R). Then, det(A) and det(B) is different from zero. So

\text{det(AB)} = \text{det}(A)\text{det}(B)\neq 0.

So AB is also in SL2(R).

Case GL2(R):

Let A,B matrices in GL2(R). Then, det(A)= det(B)=1 is different from zero. So

\text{det(AB)} = \text{det}(A)\text{det}(B)=1\cdot 1 = 1.

So AB is also in GL2(R).

With these, we have proved that the matrix multiplication over SL2(R) and GL2(R) is an induced operation from the matrix multiplication over M2(R).

7 0
3 years ago
Alright , help me out please <br> (10 points)
Ksju [112]

Answer:

the first one

the third one

the fourth one

Step-by-step explanation:

1. x <em>does</em> equal 9

2. the equation would lead to x being canceled out so there would be an x in your answer

3. x <em>does</em> equal 30

4. x <em>does</em> equal 6

5. x should equal 135

7 0
2 years ago
Ronnie can paint 8 rocks in 5 minutes. How long will it take him to paint 54 rocks
sergiy2304 [10]
8 rock in 5 minutes

54 rocks / 8 rocks = 6.75

6.75 x 5 minutes = 33.75 minutes
3 0
3 years ago
Read 2 more answers
1. Ella has 7 rolls and 6 loose medium shirts. Each shirt costs $10. What is the value of her
weqwewe [10]

Answer:

the value of her medium shirts is $60 if Ella makes 100 more shirts her new value is $600

6 0
2 years ago
The sum of the measures of angle Y and angle Z is 180 degrees. Angle Y measures (3x + 20) degrees and Angle Z measures x degrees
Minchanka [31]
A)
The question tells us that
y + z = 180
And
y=3x+20
z=x

So we put them in the first formula:

y + z = 180
(3x + 20) + x = 180

Add and get x to one side:
4x + 20 = 180
4x + 20 - 20 = 180-20
4x = 160
Divide both sides by 4
x = 40

B)
Put x back in to equation to get size of each angle:

Y =3x +20
Y=3(40)+20
Y=120+20
Y=140

Z=x
Z=40

Verify: y+z=180
140+40=180
180=180
8 0
2 years ago
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