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4 years ago

Explain how knowing 1+7 helps you find the sum for 7+1

2 answers:

8 0

Knowing 1+7 helps you find the sum of 7+1 because 1+7 and 7+1 is communitive property of addition. Also because 1+7 is the same answer as 7+1.
Ex:
1+7=8
And
7+1=8
its the same result.

Salsk061 [2.6K]4 years ago

3 0

They are exactly the same. When adding it doesn't matter what order the numbers are in.

You might be interested in

Given the function g(x) = –11 + 12x + x over 3, evaluate g(4).

Paraphin [41]

g(−3)=2

g(0) = 3g(0)=3

Step-by-step explanation:

Given

The attached graph

Required

Determine

g(-3)g(−3)

g(x) = 3g(x)=3

Since a graph has been provided, the question will be solved graphically;

Solving g(-3)

This implies that;

x = -3

And the interpretation is to solve for the y value when x = -3

From the attached graph;

When x = -3; y = 2

Hence;

g(-3) = 2g(−3)=2

Solving g(x) = 3

This implies that;

y = 3

And the interpretation is to solve for the x value when y = 3

From the attached graph;

When y = 3; x = 0

7 0

3 years ago

Do you hypotenuse of a triangle is 1 foot more than twice the length of the shorter leg the longer leg is 7 feet longer than the

Lera25 [3.4K]

Answer:

Shorter leg: 8 units

Longer leg: 15 units

Hypotenuse: 17 units

Step-by-step explanation:

We are given $h=1+2s$ where $h$ is the hypotenuse and $s$ is the length of the shorter leg.

We got this equation from reading that the "hypotenuse of a triangle is 1 foot more than twice the length of the shorter leg". I replaced the "hypotenuse of a triangle" with $h$ , "is" with $=$ , "1 foot more than" with $1+$ and finally "twice the length of the shorter leg" with $2s$ .

We also have "longer leg is 7 feet longer than the shorter leg".

I'm going to replace "longer leg" with $L$ .

I'm going to replace "is" with $=$ .

I'm going to replace "7 feet longer than the shorter leg" with $7+s$ .

So we have the equation $L=7+s$ .

So we have a right triangle since something there is a side being referred to as the hypotenuse. We can use Pythagorean Theorem to find a relation between all these sides.

So by Pythagorean Theorem, we have: $s^2+L^2=h^2$ .

Let's make some substitutions from above:

$s^2+(7+s)^2=(1+2s)^2$

Let's expand the powers using:

$(a+b)^2=a^2+2ab+b^2$

Applying this now:

$s^2+(49+2(7)s+s^2)=(1+2(1)(2s)+(2s)^2)$

$s^2+49+14s+s^2=1+4s+4s^2$

Combine like terms on right hand side:

$2s^2+49+14s=1+4s+4s^2$

Subtract everything on left hand side to get 0 on that side:

$0=(1-49)+(4s-14s)+(4s^2-2s^2)$

Simplify:

$0=(-48)+(-10s)+(2s^2)$

Reorder into standard form for a quadratic:

$0=2s^2-10s-48$

Every term is even and therefore divisible by 2. I will divide both sides by 2:

$0=s^2-5s-24$

I'm going to see if this is factoroable.

We need to see if we can come up with two numbers that multiply -24 and add up to be -5.

Those numbers are -8 and 3.

So the factored form is:

$0=(s-8)(s+3)$

This implies that either $s-8=0$ os $s+3=0$ .

The first equation can be solved by adding 8 on both sides: $s=8$ .

The second equation can be solved by subtracting 3 on both sides: $s=-3$ .

The only solution that makes sense for $s$ is 8 since it can't the shorter length cannot be a negative number.

$s=8$

$L=7+s=7+8=15$

$h=1+2s=1+2(8)=1+16=17$

So the dimensions of the right triangle are:

Shorter leg: 8 units

Longer leg: 15 units

Hypotenuse: 17 units

6 0

4 years ago

Use the distributive property with factoring to find the equivalent expression. 24n + 32w = (3n + w)

pashok25 [27]

Answer:

Step-by-step explanation:

24n + 32w = (3n + w)

We're asked to use distributive property, this means that we have to find a way that the given expression on the left hand side is equal to the given incomplete exresssion on the right hand side. In so doing, we're fulfilling the distributive property tag.

Given 3n, 3 factorises 24 into 8, and at the same time, factorises 32 into 4. Thus, we can then conclude that

24n + 32w = 8(3n + 4w)

6 0

3 years ago

At a sale on winter clothing, Cody bought two pairs of gloves and four hats for $38. Tori bought three pairs of gloves and five

igor_vitrenko [27]

Answer: The price for the gloves were $5 each and the price of the hats were $7 each.

Step-by-step explanation:

2g + 4h = 38 solve by elimination

3g + 5h = 50

-3(2g + 4h) = 38(-3) -6g -12h= -114

2 (3g + 5h)= 50(2) 6g + 10h =100

0 + -2h= -14

h= 7

-6g -12(7)=-114

-6g -84 = -114

+ 84 +84

-6g =-30

g= 5

7 0

3 years ago

Find the value of x. Round the length to the nearest tenth.

Mamont248 [21]

From right triangle trigonometry, we have the following:

$\displaystyle{ tan(35^o)= \frac{opposite \ side }{adjacent \ side }$ ,

where the "opposite side" means the opposite side to angle with measure $35^o$ , and "adjacent side" means the adjacent side to angle with measure $35^o$ .

$tan(35^o)$ is a constant which can be found using a calculator.

In the calculator of the pc press: view - scientific - 35 - tan.

This gives $tan(35^o)=0.7$

Thus, back in the equation $\displaystyle{ tan(35^o)= \frac{opposite \ side }{adjacent \ side }$ we substitute as follows and solve:

$\displaystyle{0.7= \frac{x }{12 }\\\\$

$x=0.7\cdot12=8.4$

Answer: 8.4 cm

5 0

3 years ago

Read 2 more answers