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3 years ago

How many solutions does this linear system have?

Mathematics

1 answer:

noname [10]3 years ago

4 0

Answer:

No solution

Step-by-step explanation:

These are two, parallel lines. You can tell because they have the same slope.

the first line is

y = -.5x + 4

the second line, when rewritten is

x + 2y = -8

2y = -x - 8

y = -.5x - 4

You might be interested in

The steps to derive the quadratic formula are shown below:

Georgia [21]

Answer: $x+\frac{b}{2a}=\pm \frac{\sqrt{b^2 - 4ac}}{\sqrt{4a^2}}$

Step-by-step explanation:

We can rewrite the left hand side as a perfect square, more specifically

$\left(x+\frac{b}{2a} \right)^2$

So, taking the square root of both sides,

$x+\frac{b}{2a}=\pm \frac{\sqrt{b^2 - 4ac}}{\sqrt{4a^2}}$

3 0

2 years ago

Tara wants to fix the location of a mountain by taking measurements from two positions 3 miles apart. From the first position, t

Black_prince [1.1K]

Answer:

Shortest distance from the mountain is 3.17 miles.

Step-by-step explanation:

From the figure attached,

Let a mountain is located at point A.

Angle between the mountain and point B (∠B) = 53°

Angle between the mountain and point C (∠C) = 78°

Distance between these points = 3 miles

Since, m∠A + m∠B + m∠C = 180°

m∠A + 53° + 78° = 180°

m∠A = 180°- 131° = 49°

By applying sine rule in triangle ABC,

$\frac{\text{sin}(49)}{BC}=\frac{\text{sin}(53)}{AC}= \frac{\text{sin}(78)}{AB}$

$\frac{\text{sin}(49)}{3}=\frac{\text{sin}(53)}{AC}= \frac{\text{sin}(78)}{AB}$

$\frac{\text{sin}(49)}{3}=\frac{\text{sin}(53)}{AC}$

AC = $\frac{3\text{sin}(53)}{\text{sin}(49)}$

AC = 3.17 miles

$\frac{\text{sin}(49)}{3}=\frac{\text{sin}(78)}{AB}$

AB = $\frac{3\text{sin}(78)}{\text{sin}(49)}$

AB = 3.89 miles

Therefore, shortest distance from the mountain is 3.17 miles.

7 0

3 years ago

Select the true statement(s):

Gre4nikov [31]

Answer:

The true statement is C because between -4 and 14 is 10

Step-by-step explanation:

Plz mark brainliest

6 0

2 years ago

Read 2 more answers

identify which number is greater with the symbols > or < or ~ (approximate) pls have the explanation as well thank you!! -

grin007 [14]

Answer:

-3.3>-10/3

Step-by-step explanation:

-10.3 is equal to -3.3333333333....

-3.3 just stops at the tenths so there is 0.033333333 more in -10/3. The higher the negative number the lower it is, for example -3>-4. Therefore, -3.3>-10/3.

4 0

3 years ago

Find the value C(-2), where C is defined below.<br> C(x) = -3x2 – 3x - 3

Harman [31]

Answer:

C(-2) = -9

Step-by-step explanation:

Step 1: Define

C(x) = -3x² - 3x - 3

C(-2) = x = -2

Step 2: Substitute and Evaluate

C(-2) = -3(-2)² - 3(-2) - 3

C(-2) = -3(4) + 6 - 3

C(-2) = -12 + 6 - 3

C(-2) = -6 - 3

C(-2) = -9

3 0

3 years ago