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3 years ago

When can you say that there is no solution for a system of linear equation

Mathematics

1 answer:

SCORPION-xisa [38]3 years ago

5 0

Answer:

You can say there is no solution for a system of linear equation when the graphs are PARALLEL to each other.

ONE solution: when both lines intersect at one point

INFINITE solution: when the line goes on forever

NO solution: is when the lines are parallel to each other.

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Solve the right triangle, ΔABC, for the missing sides and angle to the nearest tenth given angle B = 27° and side c = 15.

nignag [31]

Answer:

Part 1) $C=90\°$

Part 2) $A=63\°$

Part 3) $b=6.8\ units$

Part 4) $a=13.4\ units$

Step-by-step explanation:

step 1

Find the measure of angle C

we know that

The triangle ABC is a right triangle

Angle C is a right angle

therefore

$C=90\°$

step 2

Fin the measure of angle A

we know that

In the right triangle ABC

∠B+∠A=90° -----> by complementary angles

we have

$B=27\°$

substitute

$27\°+A=90\°$

$A=63\°$

step 3

Find the length side b

we know that

In the right triangle ABC

$sin(B)=b/c$

$b=(c)sin(B)$

substitute the given values

$b=(15)sin(27\°)=6.8\ units$

step 4

Find the length side a

we know that

In the right triangle ABC

$sin(A)=a/c$

$a=(c)sin(A)$

substitute the given values

$a=(15)sin(63\°)=13.4\ units$

6 0

3 years ago

Predict the overall shape of the distribution of the two data sets. Will the graphs of the two data sets be skewed to the left,

Svetach [21]

Answer:

The graph of Walden’s data set will be symmetrical about the center, and the graph of Drake’s data set will be skewed to the right.

Step-by-step explanation:

sample answer

5 0

2 years ago

Which two quadrants have negative x-values?

mart [117]

Answer:

II and III ( 2 and 3)

Step-by-step explanation:

The quadrants are numbered counter clockwise, with the top right being number I

II I

III IV

The ones having negative x values are II and III ( 2 and 3)

3 0

2 years ago

Divide £72 cm in the ratio 2:3:1

PilotLPTM [1.2K]

2:3:1....added = 6

2/6(72) = 144/6 = 24
3/6(72) = 216/6 = 36
1/6(72) = 72/6 = 12

ratio is now 24:36:12

6 0

3 years ago

Figure ABCD has verticies A(-4, 1) B(2, 1) C(2, -5) D(-4-3). What was the area of Figure ABCD.

JulijaS [17]

area: 18 units^2

Step-by-step explanation:

the shape is a quadrilateral, with one slanted side, so I separated the shape into a rectangle and triangle, and and calculated their area respectively, then added the products up. please correct me if I'm wrong. hope this helped. :)

8 0

3 years ago

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