All categories

2 years ago

Please help!!!!!!!!!!

Mathematics

2 answers:

Basile [38]2 years ago

6 0

Answer:

1-c

2-b

3-a

Step-by-step explanation:

1. 7y=14

y=2

-7y=-14

y=2

so the equation has one solution

2. 0=0

so the equation has infinite solution

3. 0=2 false

so the equation has no solution

Zanzabum2 years ago

3 0

1 solution

8x+7y=30

8x-7y=2

infinitely many solutions

-8x+7y=-2

8x-7y=2

no solution

8x-7y=2

-8x+7y=2

Explanation

The number of solutions of a pair of linear equations are determined by the following criteria

1 solution

- $a1/a2 \neq b1/b2$

in the first pair $a1/a2=8/8=1$

$b1/b2=7/-7=-1$

therefore $a1/a2 \neq b1/b2$

infinitely many solution

$a1/a2=b1/b2=c1/c2$

In the second pair of equations -8x+7y+2=0 and 8x-7y-2=0

$a1/a2=-8/8=-1\\b1/b2=7/-7=-1\\c1/c2=2/-2=-1$

since $a1/a2=b1/b2=c1/c2$ , the pair of equations have infinitely many solutions

no solution

$a1/a2=b1/b2\neq c1/c2$

in the third pair of equation

$a1/a2=8/-8=-1\\b1/b2=-7/7=-1\\c1/c2=-2/-2=1$

Here $a1/a2=b1/b2\neq c1/c2$

You might be interested in

What does 1 1/16-3/8 equal?

Artemon [7]

Answer:

$\frac{11}{16}$

6 0

2 years ago

Help with Math PLZ (Questions in screenshot)

-Dominant- [34]

1.) Let's say that the circle on the graph below represents x. The arrow is pointing to all the numbers greater than x, which happens to be on -2. If it points right, this means that x can equal to any number greater than -2. So your answer is x > -2.

2.) For inequalities such as these, you can simplify just like what you do for normal equations. Let's isolate x.

$x - 7 > 10$

--> $x > 10 + 7$

---> $x > 17$

3.) $3x \leq 21$

--> $\frac{3x}{3} \leq \frac{21}{3}$

---> $x \leq 7$

4.) $5a - 2 < 18$

--> $5a < 18 + 2$

---> $5a < 20$

----> $\frac{5a}{5} < \frac{20}{5}$

-----> $a < 4$

5.) $2t + 8 \geq -4(t + 1)$

--> $2t + 8 \geq -4t - 4$

---> $2t + 4t \geq -8 - 4$

----> $6t \geq -12$

-----> $t \geq -2$

7 0

3 years ago

What is the equation of the line that has a slope of 3 and passes through the point (1, –2)?

lesya [120]

Answer:

y = 3x - 5

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = 3 , thus

y = 3x + c ← is the partial equation

To find c substitute (1, - 2) into the partial equation

- 2 = 3 + c ⇒ c = - 2 - 3 = - 5

y = 3x - 5 ← equation of line

6 0

3 years ago

Wegnerkolmp or someone who can explain maths please I need a proper explanation

umka2103 [35]

Answer: 66 degrees

Explanation:

Check out the attached image below. Figure 1 is the original image without any additions or alterations. Then in figure 2, I extend segment BC to form a line going infinitely in both directions. This line crosses segment DE at point F as shown in the second figure.

Note how angles ABC and DFC are alternate interior angles. Because AB is parallel to DE (given by the arrow markers) this means angle DFC is also 24 degrees

Focus on triangle DFC. This is a right triangle. The 90 degree angle is at C.

So we know that the acute angles x and 24 are complementary. They add to 90. Solve for x

x+24 = 90

x+24-24 = 90-24

x = 66

That is why angle CDE is 66 degrees

6 0

2 years ago

Solve for x over the complex numbers.

Grace [21]

Answer:

Step-by-step explanation:

Given x^2+4x+13=0, find the complex roots. The best approach here is to use the quadratic formula. Note that a = 1, b = 4 and c = 13.

Thus, the discriminant, b^2 - 4ac, is (4)^2 - 4(1)(13) = 16 - 52 = -36, and the square root of that is plus or minus i√36, or plus or minus 6i.

plus or minus i√

8 0

2 years ago

Read 2 more answers