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3 years ago

Evaluate. 102+6⋅7+8 70 142 150 190

Mathematics

1 answer:

Gwar [14]3 years ago

7 0

First you have to solve the multiplication:
102 + 6*7+8 = 102 + 42 + 8
At last you have to add all:
102 + 42 + 8 = 152

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Two of the vertices of a rectangle are (1, −6) and (−8, −6). If the rectangle has a perimeter of 26 units, what are the coordina

pantera1 [17]

Answer: $(x_1,y_1)=(1,-2)$

$(x_2,y_2)=(-8,-2)$

Step-by-step explanation:

Given

Co ordinates of vertices(1,-6) and (-8,-6)

When two points is given then Length of two points is given by

$L=\sqrt{\left ( x_2-x_1\right )^2+\left ( y_2-y_1\right )^2}$

$L=\sqrt{\left ( 1-\left ( -8\right )\right )^2+\left ( -6+6\right )^2}$

$L=\sqrt{9^2}=9 units$

Perimeter of rectangle is =26 units

Let the other side be x

thus

$2\left ( x+9\right )=26$

x+9=13

x=4 units

therefore to get the other two co ordinates

such that the length of that side is 4 units is

$(x_1,y_1)=(1,-2)$

$(x_2,y_2)=(-8,-2)$

Horizontal distance will remain same only vertical distance will change in given co ordinates to obtain the remaining two co ordinates

To verify the above two distance between two points must be 13 units

6 0

2 years ago

There were 20 boys and 26 girls in a chess club last year. This year the number of boys increased by 30% but the number of girls

Readme [11.4K]

Step-by-step explanation:

Boys

$20 + (20 \div 100)30 = \\ = 20 + 0.2 \times 30 = \\ = 20 + 6 = \\26$

Girls

$26 - (26 \div 100)15 = \\ = 26 - 0.26 \times 15 = \\ = 26 - 3.9 = \\ = 22$

Total last year 46

Total this year 48

Increase

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2 years ago

Zayed is helping his classmates get ready for their math test by making them identical packages of pencils and calculators. He h

oee [108]

So 72 pencils and 24 calculators
so greates number of identical calculators

this means
what is the biggest number that we can divide 72 and 24 by and get a whole number
this is called the GCM or greatest common multipule

to find the GCM, you factor 72 and group the like ones
72=2 times 2 times 2 times 3 times 3
24=2 times 2 times 2 times 3
so the common group is 2 times 2 times 2 times 3 or 24
so the greates number of packs is 24

so pencils
72 divided by 24=72/24=3
3 pencils per pack

24 divided by 24=24/24=1
1 calulator per pack

answer is 3 pencils and 1 calculator per pack

6 0

2 years ago

Read 2 more answers

Carlos finds the absolute value of -5.3, and then finds the opposite of his answer. Jason finds the opposite of -5.3 and then fi

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The absolute value is how far away a number is from the number line, so it is always positive. If Carlos finds the opposite of the absolute value, that means he found the negative version. So Jason's final value will be greater.

4 0

2 years ago

Read 2 more answers

Which function has a range of<br><br> f(x)≥7

amid [387]

Answer:

While it's true that quadratic functions have no domain restrictions, the range is restricted because x2 ≥ 0. The correct answer is: The domain is all real numbers and the range is all real numbers f(x) such that f(x) ≥ 7.

Step-by-step explanation:

3 0

3 years ago