MATHEMATICS MIDDLE SCHOOL

Find the distance between the points (6, 5 square root 2) and (4, 3square root 2).

Answers

Answer 1

Answer:

For this case we use the distance formula between two points.

We have then:

$d=√((x2-x1)^2+(y2-y1)^2)$

Substituting values in the given equation we have:

$d=\sqrt{(6-4)^2+(5√(2)-3√(2))^2}$

Rewriting the equation we have:

$d=\sqrt{(2)^2+(2√(2))^2}$

$d=√(4+8)$

$d=√(12)$

$d=√(3*4)$

$d=2√(3)$

Answer:

The distance between the points is:

$d=2√(3)$

Answer 2

Answer:

The distance would be 2√3 , in other words it is 2 square root 3

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How do you put 76.342 76.332 76.232 76.343 in descending order

Answers

$76.343\n||||||||\vee\n76.342\n||||||\vee..\n76.332\n||||\vee...\n76.232\n\ntherefore\ answer:\n\n\boxed{76.343 > 76.342 > 76.332 > 76.232}$

decending means biggest to smallest
just line the decimal places up (tens hundreths thousandths etc) so
we can discard the 76 because they are all 76 so
.342
.332
.232
.343
we compare the first numbers and see that the the 2 is the smallest (.232) so remember that number is last so we move on to the next numbers
.342
.332
.343
we notice that 3 is the smallest (.332) so that is second to last remeber that so we move on to the last numbers
.342
.343
we notice that 2 is smaller than 3 so 2 is third smallest so the order (with the 76 added back in) is
76.232
76.332
76.342
76.343

Which graph represents the solution set for –4(1 – x) ≤ –12 + 2x?

Answers

$-4(1-x)\leq-12+2x\qquad\text{use distributive property}\n\n(-4)(1)+(-4)(-x)\leq-12+2x\n\n-4+4x\leq-12+2x\qquad\text{add 4 to both sides}\n\n4x\leq-8+2x\qquad\text{subtract 2x from both sides}\n\n2x\leq-8\qquad\text{divide both sides by 2}\n\n\boxed{x\leq-4}$

Evaluate:
y = x – 13 when x = –3.

Answers

y = x - 13
x = -3

Since the value of x has already been given, we can substitute its value to the x in the 1st equation.

y = x - 13
= -3 - 13 *both carry the same negative signs, so addition is performed but the sign is carried over to its sum
y = -16

(-3,-16)

y=-3-13y=-16you add -3 to -13 to get -16

What statement is true

Answers

CF is perpendicular to AE

Since those two triangles are congruent, all of their sides have to be equal as well as their angles. If CF was not equal to AE, then the two corresponding angles of the triangle which are also supplementary angles will not be congruent. The only pair of angle measures that is both supplementary and equal is 90 and 90. I hope this helps!

Estimate the sum 99+53 to the nearest ten