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3 years ago

Solve the quadratic equation x2 + 2mx + m = 0

Mathematics

1 answer:

zaharov [31]3 years ago

7 0

Answer:

-m(+/-)sqrt(m^2-m)=x.

Step-by-step explanation:

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A.The y-intercept of the function is 3.

Marrrta [24]

Answer:

D. The slope of the function is positive.

Step-by-step explanation:

I think the best thing to start with is the slope. Lets figure it out using the slope formula, (y2-y1)/(x2-x1).

Using the points, (-4, -7) and (-3, -4),

(-4 - (-7)) / (-3 - (-4))

= 3 / 1

= 3

Right off the bat, you can see that C is incorrect.

Lets go through the other choices and check now.

Using our slope, lets write an equation in the slope intercept form.

y = -3x + b (derived from y=mx+b)

Now, lets plug in a point (let's say, (-4,-7)) to verify if 3 really is the y intercept.

-7 = 3(-4) + b

-7 = -12 +b

5 = b

Since 3 is not equal to 5, A is incorrect. That leaves us with choice B and D.

We know that the x-intercept is found as (0, a), meaning that this x intercept is (0, 5/3). Let's plug it into the equation!

0 = 3(5/3) + 5

0 = 5 + 5

0 = 10

Since this is obviously incorrect, our answer is D, the slope of the function is positive. Let me know if you have any other questions.

8 0

4 years ago

Which system of linear equations has no solution?

garik1379 [7]

Answer:

for me I think the answer u are looking for is A

6 0

4 years ago

Any polygon with two pair of parrallel opposite sides is a parallelogram? True or false

Pachacha [2.7K]

Answer:

True

Step-by-step explanation:

A parallelogram always has two pairs of opposite parallel sides with four right angles. Furthermore any polygon with 2 opposite pairs of parallel sides would be considered a parallelogram.

8 0

4 years ago

G(x) = 19 g(x) = -3x + 4,

STatiana [176]

Answer:

x = -5

Step-by-step explanation:

g(x) = 19 g(x) = -3x + 4

So g(x) = g(x)

19 = -3x + 4 Subtract 4 from each side

19 - 4 = -3x + 4 - 4

15 = -3x Divide each side by -3

15/-3 = -3x/-3

15/-3 = x

-5 = x

7 0

3 years ago

Read 2 more answers

Which additional fact proves that ΔRST and ΔWXY are congruent if ∠R ≅ ∠W and RS ≅ WX.

lions [1.4K]

Answer:

C) $\angle X=2x-20$

Step-by-step explanation:

We are given that

$\angle R\cong \angle W$

$RS\cong WX$

$\angle R=2x+3$

$\angle S=x+10$

$\angle T=3x-13$

We have to find the additional fact which proves that triangle RST and triangle WXY are congruent.

In triangle RST

$\angle R+\angle S+\angle T=180^{\circ}$ (Triangle angles sum property)

Substitute the values then we get

$2x+3+x+10+3x-13=180$

$6x=180$

$x=\frac{180}{6}=30^{\circ}$

$\angle R=2(30)+3=63^{\circ}$

$\angle S=30+10=40^{\circ}$

$\angle T=3(30)-13=73^{\circ}$

$\angle R=\angle W=63^{\circ}$

When two triangles are congruent then each part of one triangle is congruent to its corresponding parts of another triangle.

Therefore, if $\triangle RST\cong \triangle WXY$

Then, $\angle S\cong \angle X, \angle T\cong \angle Y$

Therefore, $\angle Y=73^{\circ}$

$\angle X=40^{\circ}$

$\angle X=2(30)-20=40^{\circ}$

Hence, option C is correct.

4 0

4 years ago

Read 2 more answers