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2 years ago

The midpoint of AB is M(-4,2). If the coordinates of A are (-6,5), what are the

Mathematics

1 answer:

-Dominant- [34]2 years ago

8 0

Answer:

(-2,-1)

Step-by-step explanation:

Midpoints are found when you do ([x(subscript A) + x(subscript B)]/2, [y(subscript A) + y(subscript B)]. Therefore your equation (for x of B) should look like this:

-4 = ([-6+x]/2)

After you solve for x, you should have gotten -2 for x.

Then you do the same for y:

2 = ([5+y]/2)

You should get -1. Your final answer should be (-2, -1)

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Rajan needs 1 liter of 15% hydrochloric acid solution for an experiment. He checks his storage cabinet, but he only has a 5-lite

Delvig [45]

Answer:

0.75 liters of 5% hydrochloric acid solution
0.25 liters of 45% hydrochloric acid solution.

Step-by-step explanation:

Let us assume that, x liters of the 5% hydrochloric acid and y liters of the 45% hydrochloric acid solutions are combined.

As Rajan need total of 1 liter of solution, so

$x+y=1$

i.e $x=1-y$ --------------------1

As Rajan needs 5% hydrochloric acid and 45% hydrochloric acid to make a 1 liter batch of 15% hydrochloric acid, hence acid content of the mixture of two acids will be same as of the final one, so

$0.05x+0.45y=1\times 0.15$

i.e $5x+45y=15$ -------------2

Putting value of x from equation 1 in equation 2,

$\Rightarrow 5(1-y)+45y=15$

$\Rightarrow 5-5y+45y=15$

$\Rightarrow 5+40y=15$

$\Rightarrow 40y=15-5=10$

$\Rightarrow y=0.25$

Putting the value of y in equation 1,

$x=1-0.25=0.75$

Therefore, Rajan must use 0.75 liters of 5% hydrochloric acid solution and 0.25 liters of 45% hydrochloric acid solution.

4 0

3 years ago

Help ok so like help please this is due tonight

Dima020 [189]

A
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5 0

2 years ago

use the discriminant to determine how many and what kind of solutions the quadratic equation x²-x=-1/4 has

pantera1 [17]

$\bf x^2-x=-\cfrac{1}{4}\implies \stackrel{\textit{multiplying by }\stackrel{LCD}{4}}{4x^2-4x=-1}\implies 4x^2-4x+1=0$

$\bf \qquad \qquad \qquad \textit{discriminant of a quadratic} \\\\\\ \stackrel{\stackrel{a}{\downarrow }}{4}x^2\stackrel{\stackrel{b}{\downarrow }}{-4}x\stackrel{\stackrel{c}{\downarrow }}{+1} ~~~~~~~~ \stackrel{discriminant}{b^2-4ac}= \begin{cases} \boxed{0}&\textit{one solution}\\ positive&\textit{two solutions}\\ negative&\textit{no solution} \end{cases} \\\\\\ (-4)^2-4(4)(1)\implies 16-16\implies \boxed{0}$

4 0

2 years ago

1/5,0,-1/5,what two answers comes next?

jenyasd209 [6]

The next 2 answers are: -2/5 and -3/5

4 0

2 years ago

ROUNDING AND ESTIMATION

Ilya [14]

1. 8
2. 9
3. 11
4. 8
5. 10
6. 7
7. 4
8. 11
9. 4
10. 10
11. 16
12. 10
13. 22
14. 3
15. 16

3 0

2 years ago