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UkoKoshka [18]
3 years ago
8

Problem solving: make and test generalization practice 16-11

Mathematics
1 answer:
Deffense [45]3 years ago
8 0
So that you know for a fact, and you wont be making any mistakes.....Hope it helps
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-(2.6m +5)<br> Please help me
Zinaida [17]

Answer:

<h3>                -2.6m - 5</h3>

Step-by-step explanation:

-(2.6m + 5) = -1(2.6m + 5) = -1•2.6m +(-1)•5 = -2.6m - 5

7 0
3 years ago
The coordinates of the vertices of a rectangle are (−3, 4) , (7, 2) , (6, −3) , and (−4, −1) . What is the perimeter of the rect
ki77a [65]

Answrer

Find out the what is the perimeter of the rectangle .

To prove

Now as shown in the figure.

Name the coordinates as.

A(−3, 4) ,B (7, 2) , C(6, −3) , and D(−4, −1) .

In rectangle opposite sides are equal.

Thus

AB = DC

AD = BC

Formula

Disatnce\ formula = \sqrt{(x_{2} - x_{1})^{2} +(y_{2} - y_{1})^{2}}

Now the points  A(−3, 4) and  B(7, 2)

AB = \sqrt{(7- (-3))^{2} +(2- 4)^{2}}

AB = \sqrt{(10)^{2} +(-2)^{2}}

AB = \sqrt{100+4}

AB = \sqrt{104}

AB = 2\sqrt{26}\units

Thus

CD= 2\sqrt{26}\units

Now the points

A (−3, 4) , D (−4, −1)

AD = \sqrt{(-4 - (-3))^{2} +(-1- 4)^{2}}

AD = \sqrt{(-1)^{2} +(-5)^{2}}

AD = \sqrt{1 + 25}

AD = \sqrt{26}\units

Thus

BC = \sqrt{26}\units  

Formula

Perimeter of rectangle = 2 (Length + Breadth)

Here

Length = 2\sqrt{26}\ units

Breadth = \sqrt{26}\ units  

Perimeter\ of\ rectangle = 2(2\sqrt{26} +\sqrt{26})

Perimeter\ of\ rectangle = 2(3\sqrt{26})

Perimeter\ of\ rectangle = 6\sqrt{26}

\sqrt{26} = 5.1 (Approx)

Perimeter\ of\ rectangle = 6\times 5.1

Perimeter of a rectangle = 30.6 units.

Therefore the perimeter of a rectangle is 30.6 units.

8 0
3 years ago
Select all ratios equivalent to 6:3<br> 42:21<br> 14:7<br> 9:1​
Lynna [10]

Answer: 42:21 and 14:7

Step-by-step explanation:

42:21, 6:3, and 14:7 all reduce to 2:1, but 9:1 does not.

8 0
3 years ago
Read 2 more answers
. Which expression is equivalent to 4 – (−7)?
sladkih [1.3K]
The answer A. 7 + 4 because it’s equal to 11 and 4-(-7) is 11
8 0
3 years ago
If log 2=a and log 3=b express log 12 in terms of a and b.
Arisa [49]

Answer:

  2a +b

Step-by-step explanation:

The rule for logarithms is ...

  log(xy) = log(x) +log(y)

__

Applying this to the given problem, we have ...

  log(12) = log(2×2×3)

  = log(2) +log(2) +log(3)

  = a + a + b

  = 2a +b

7 0
3 years ago
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