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alukav5142 [94]
3 years ago
6

A system has two linear equations in two variables. The graphs of the equations have the same slope but different y-intercepts.

How many solutions does the system have?
A 0
B 1
C 2
D infinitely many
Mathematics
2 answers:
makkiz [27]3 years ago
6 0
0 is your answer just took the test
lesya [120]3 years ago
4 0
<span>A system has two linear equations in two variables. The graphs of the equations have the same slope but different y-intercepts. How many solutions does the system have?
</span><span>
A. 0</span>

They have no solutions because these two lines are parallel. They have the same slope. However, two parallel lines have no solutions because they never intersect. 

Hope this helps. 
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Determine if triangle ABC with coordinates A (0, 2), B (2, 5), and C (−1, 7) is an isosceles triangle. Use evidence to support y
kirill115 [55]

Answer:

The triangle ABC is an isosceles right triangle

Step-by-step explanation:

we have

The coordinates of triangle ABC are

A (0, 2), B (2, 5), and C (−1, 7)

we know that

An isosceles triangle has two equal sides and two equal internal angles

The formula to calculate the distance between two points is equal to

d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}

step 1

Find the distance AB

substitute in the formula

d=\sqrt{(5-2)^{2}+(2-0)^{2}}

d=\sqrt{(3)^{2}+(2)^{2}}

dAB=\sqrt{13}\ units

step 2

Find the distance BC

substitute in the formula

d=\sqrt{(7-5)^{2}+(-1-2)^{2}}

d=\sqrt{(2)^{2}+(-3)^{2}}

dBC=\sqrt{13}\ units

step 3

Find the distance AC

substitute in the formula

d=\sqrt{(7-2)^{2}+(-1-0)^{2}}

d=\sqrt{(5)^{2}+(-1)^{2}}

dAC=\sqrt{26}\ units

step 4

Compare the length sides

dAB=\sqrt{13}\ units

dBC=\sqrt{13}\ units

dAC=\sqrt{26}\ units

dAB=dBC

therefore

Is an isosceles triangle

Applying the Pythagoras Theorem

(AC)^{2} =(AB)^{2}+(BC)^{2}

substitute

(\sqrt{26})^{2} =(\sqrt{13})^{2}+(\sqrt{13})^{2}

26=13+13

26=26 -----> is true

therefore

Is an isosceles right triangle

8 0
4 years ago
Which sequence of transformations create a similar but not congruent triangle? A rotation and reflection B reflection and transl
viktelen [127]

Answer:

  D dilation and reflection

Step-by-step explanation:

Rotation, reflection, and translation are "rigid" transformations, so will always result in congruent figures.

Dilation is a transformation that changes size, so will result in figures that are similar, but not congruent. Any rigid transformation performed with dilation will still result in a similar figure.

7 0
3 years ago
Directions: Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).. Th
Anuta_ua [19.1K]

Answer

Find out the The numerical value of A - B  and the numerical value of B - A .

To prove

As given

The expression 113.47 - (43.72 - 26.9) represents A.

The expression 113.47 - (26.9 - 43.72) represents B .

Thus

A - B =  113.47 - (43.72 - 26.9)  - ( 113.47 - (26.9 - 43.72))

First solving the bracket terms.

A - B =  113.47 - (43.72 - 26.9)  -  113.47  + (26.9 - 43.72)

        = 113.47 - 16.82 - 113.47 - 16.82

        =  113.47  - 113.47 - 16.82 - 16.82

        = -33.64

Therefore the value of A- B is -33.64 .

Thus

B - A = 113.47 - (26.9 - 43.72) - (113.47 - (43.72 - 26.9))

First solving the bracket terms.

B - A = 113.47 - (26.9 - 43.72) - 113.47 + (43.72 - 26.9)

        =  113.47 + 16.82 - 113.47 + 16.82

        = 33.64

Therefore the value of the A - B is -33.64 and B - A is 33.64 .

6 0
3 years ago
Read 2 more answers
I will give lots of points please help
marin [14]

Step-by-step explanation:

PART 1:

on the graph you can make a triangle at any point and with any angle measures.

i recommend a smaller right triangle to be easiest.

i recommend the points (0,3) A (3,0) B and (0,0) C

∆ABC angle measurements:

m∠CAB=45°

m∠ABC=45°

m∠ACB=90°

PART 2:

(4,3) D (7,0) E and (4,0) F make an identical right triangle moved 4 squares to the right

m∠FDE=45°

m∠DEF=45°

to find the missing value of the angle EFD we will use subtraction and addition

180-(45+45)

180-90

90

therefore, the m∠EFD=90°

PART 3:

both the angle measures and the shapes of the triangles are the same

PART 4:

i used a 1:1 ratio

sorry for the wait :)

7 0
2 years ago
$3100 boat, 5.5% sales tax
Serjik [45]

Answer:

3100.00 * 5.5% (170.50) = 3270.50

Step-by-step explanation:

3100.00 * 5.5% (170.50) = 3270.50

8 0
3 years ago
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