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Free_Kalibri [48]
3 years ago
12

Which statements about this system of equations are true? CHECK ALL THAT APPLY

Mathematics
2 answers:
Serga [27]3 years ago
7 0

<em><u>True staments are:</u></em>

The y-variable will be eliminated when adding the system of equations

There is only one solution to the system of equations

<em><u>Solution:</u></em>

<em><u>Given system of equations are:</u></em>

x + 6y = 16 ----- eqn 1

8x - 6y = -2 ---- eqn 2

We have to solve the system of equations

When we add eqn 1 and eqn 2, then y term will get eliminated

Let us add eqn 1 and eqn 2

x + 6y + 8x - 6y = 16 - 2

6y and -6y will get eliminated

Thus, y-variable will be eliminated when adding the system of equations

x + 8x = 14

9x = 14

x = 1.55

Substitute x = 1.55 in eqn 1

1.55 + 6y = 16

6y = 16 - 1.55

6y = 14.45

y = 2.408

Thus the solution is x = 1.55 and y = 2.408

There is only one solution to the system of equations

aleksandrvk [35]3 years ago
3 0

Answer:The y-variable will be eliminated when adding the system of equations

There is only one solution to the system of equations

Step-by-step explanation:

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Number 1 has a picture
MA_775_DIABLO [31]
Question 1

cos(C) = adj/hyp
cos(C) = BC/AC
cos(C) = 15/17

Answer: Choice C) 15/17

=============================================

Question 2

sin(E) = opp/hyp
sin(E) = FD/DE
sin(E) = 24/25

So angle E is the answer

=============================================

Question 3

AC is the adjacent side to the given angle A = 33 degrees
AB = 14 is the hypotenuse

cos(angle) = adjacent/hypotenuse
cos(33) = x/14
14*cos(33) = x
x = 14*cos(33)
x = 11.741
x = 11.7

Answer: 11.7

=============================================

Question 4

x = length of board

cos(angle) = adj/hyp
cos(55) = 6/x
x*cos(55) = 6
x = 6/cos(55)
x = 10.46068
x = 10.5

Answer: 10.5

=============================================

Question 5

112 is the adjacent side to the given angle 62 degrees
x = height of building, which is the opposite leg

tan(angle) = opp/adj
tan(62) = x/112
112*tan(62) = x
x = 112*tan(62)
x = 210.641364
x = 210.6

Answer: 210.6
3 0
4 years ago
You have a set of cards labeled 1-10. Set A is drawing an even card. Set B is drawing a 8 or higher.  What is the  P ( A ∪ B ) ?
creativ13 [48]

set A = {2, 4, 6, 8, 10}   (only even cards)

set B = {8, 9, 10}    (8 or higher)

( A ∩ B ) means the numbers which are common in both sets .

They both have 8 & 10 in common. 

So the answer is: P(A ∩ B) = {8,10}

5 0
3 years ago
Calculate and express your answer in decimal form: 1/2 x 17 *
sp2606 [1]

Answer:

8.5

Step-by-step explanation:

5 0
3 years ago
What is a squared plus b squared equal c squared?
Ostrovityanka [42]
A^2+b^2=c^2 is known as the Pythagorean theorem. It is used to describe the relationship of the lengths of the sides of a right triangle.
8 0
3 years ago
Given that the measure of angle 6 is 1/8 of measure of angle 4. Find the measures of these two angles if a∥b.
vredina [299]

Answer:

see explanation

Step-by-step explanation:

Let ∠4 be x then ∠6 is \frac{1}{8} x

∠4 and ∠6 are same side interior angles and are supplementary, thus

x + \frac{1}{8}x = 180

Multiply through by 8 to clear the fraction

8x + x = 1440, that is

9x = 1440 ( divide both sides by 9 )

x = 160

Hence ∠4 = 160° and ∠6 = 160° ÷ 8 = 20°

8 0
3 years ago
Read 2 more answers
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