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Temka [501]
3 years ago
7

Estimate -9 1/6+2 1/3+(-1 7/8)

Mathematics
1 answer:
Eduardwww [97]3 years ago
5 0

Answer:

-9

Step-by-step explanation:

-9+2-2=-9

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A. What are the coordinates of the vertices of the triangle below?
Viktor [21]

Answer:

Solution given:

<u>A.coordinate are</u>

A(-2,3)

B(0,-3)

C(4,5)

<u>B</u><u>.</u><u>Each</u><u> </u><u>length</u><u> </u><u>are</u><u> </u><u>:</u>

we have

length \sqrt{(x2-x1)²+(y2-y1)²}

now

AB:\sqrt{(-2-0)²+(3+3)²}=2\sqrt{10}units

BC:\sqrt{(0-4)²+(-3-5)²}=4\sqrt{5}units

AC:\sqrt{(-2-4)²+(3-5)²}=2\sqrt{10}units

<u>C.</u><u> the </u><u>figure</u><u>:</u>

<u>By</u><u> </u><u>using</u><u> </u><u>Pythagoras</u><u> </u><u>law</u>

base[b]=AB=perpendicular [p]=AC

hypotenuse [h]=BC

we have

h²=p²+b²

substituting value

(4\sqrt{5})²=2p²

16*5=2*(2\sqrt{10})²

80=2*4*10

80=80

<u>SO</u><u> </u><u>IT</u><u> </u><u>IS</u><u> </u><u>RIGHT</u><u> </u><u>ANGLED</u><u> </u><u>ISOSCELES</u><u> </u><u>TRIANGLE</u><u>.</u>

4 0
3 years ago
What is the solution to the system of equations?
castortr0y [4]
Consider this option/solution.
P.S. The method of solution is Gauss' method.

3 0
3 years ago
Find the domain and range (0,1), (3,1), (3,9)
Elza [17]

Answer:

domain={0,3}

range={1,9}

Step-by-step explanation:

7 0
3 years ago
Help needed, much appreciated
mrs_skeptik [129]

Answer:

1/6

Explain:

The reciprocal of the slope is its perpendicular.

6/1 --> 1/6

3 0
3 years ago
Find the perimeter P of ▱JKLM with vertices J(−3,−2), K(−5,−5), L(1,−5), and M(3,−2). Round your answer to the nearest tenth, if
Bezzdna [24]

Given:

Vertices of JKLM are J(−3,−2), K(−5,−5), L(1,−5), and M(3,−2).

To find:

The perimeter P of a parallelogram JKLM.

Solution:

Distance formula:

D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Using distance formula, we get

JK=\sqrt{\left(-5-\left(-3\right)\right)^2+\left(-5-\left(-2\right)\right)^2}

JK=\sqrt{\left(-5+3\right)^2+\left(-5+2\right)^2}

JK=\sqrt{\left(-2\right)^2+\left(-3\right)^2}

JK=\sqrt{4+9}

JK=\sqrt{13}

Similarly,

KL=\sqrt{\left(1-\left(-5\right)\right)^2+\left(-5-\left(-5\right)\right)^2}=6

LM=\sqrt{\left(3-1\right)^2+\left(-2-\left(-5\right)\right)^2}=\sqrt{13}

JM=\sqrt{\left(3-\left(-3\right)\right)^2+\left(-2-\left(-2\right)\right)^2}=6

Now, perimeter P of ▱JKLM is

P=JK+KL+LM+JM

P=\sqrt{13}+6+\sqrt{13}+6

P=2\sqrt{13}+12

P=2(3.61)+12

P=7.22+12

P=19.22

P\approx 19.2

Therefore, the perimeter P of ▱JKLM is 19.2 units.

3 0
3 years ago
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