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4 years ago

Name the property used to make the conclusion. If x=y and y=4, then x=4.

Mathematics

1 answer:

Elena L [17]4 years ago

7 0

That would be the transitivity of the equality.

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How do you write the equations

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Answer:

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Step-by-step explanation:

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3 years ago

Solve the system of equations.

Alenkasestr [34]

Step-by-step explanation:

<u>Step 1: Substitute x from the second equation into the second one</u>

$2x - 9y = 14$

$2(-6y + 7) - 9y = 14$

$(2 * -6y) + (2 * 7) - 9y = 14$

$-12y + 14 - 9y = 14$

$-21y +14 - 14 = 14 - 14$

$-21y/-21 = 0 / -21$

$y = 0$

<u>Step 2: Substitute y into the second equation</u>

$x = -6y + 7$

$x = -6(0) + 7$

$x = 0 + 7$

$x = 7$

Answer: $x = 7, y = 0$

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4 years ago

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3 years ago

A basketball player makes 80% of his free throws. we set him on the line of free-throw and informed him to shoot free throws unt

tankabanditka [31]

It will be 41% in approximate:

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4 years ago

A circle has a diameter with endpoints at 15 + 25i and –25 – 17i. Which point is also on the circle? –15 +21i 0 + 0i 15 + 17i 16

Tamiku [17]

Answer:

Option 4 : 16+24i

Step-by-step explanation:

Given a circle has a diameter with end points at(15+25i) and (-25-17i)

Centre would be the mid point of these two points

Centre = $(\frac{15-25}{2} ,\frac{25-17}{2} )\\= -5+4i$

Out of given four points to find which point lies on the circle

If a point lies on the circle then it would have distance from centre equal to radius.

Radius = distance between two given points/2

= $\frac{1}{2} \sqrt{(15+25)^2+(25+17)^2} \\=\frac{58}{2} \\=29$

Let us calculate distance form each point.

i)-15+2i: distance from -5+4i= 10.19

ii) 0+0i : distance from -5+4i = 6.40

iii) 15+17i : Distance from -5+4i = 23.85

iv) 16+24i: distance from -5+4i= 29

Hence only 4th point lies on the circle

4 0

3 years ago