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Fittoniya [83]
3 years ago
5

What is the value of s? 0.7(3s+4)−1.1s=7.9

Mathematics
1 answer:
Natali [406]3 years ago
8 0
Before isolating s we need to simplify the equation using order of operations.
.7(3s+4)-1.1s = 7.9 -------> First distribute the .7
2.1s + 2.8 - 1.1s = 7.9 ------> Now combine like terms
s + 2.8 = 7.9 ------> Now to isolate s by subtracting 2.8 from both sides!

s = 7.9 - 2.8
s = 5.1
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What is the area of rhombus ABCD? Enter your answer in the box. Do not round at any steps. put the answer in units²
AlladinOne [14]

Answer:

Therefore the Area of Rhombus ABCD is 36 unit².

Step-by-step explanation:

Given:

ABCD is a Rhombus

A = (-1,0)

B = (5,-3)

C = (-1,-6)

D = (-7 ,-3)

To Find:

Area of Rhombus ABCD = ?

Solution:

We know that Area of Rhombus is given as

\textrm{Area of Rhombus}=\dfrac{1}{2}\times d_{1}\times d_{2}

Where ,

d₁ and d₂ are the Diagonals.

We have,

Diagonals as AC and BD,

Using Distance Formula we get

l(AC) = \sqrt{((x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2} )}

Substituting coordinates A and C we get

l(AC) = \sqrt{((-1-(-1))^{2}+(-6-0)^{2} )}=\sqrt{36}\\l(AC)=6\ unit

Similarly for BD we have,

l(BD) = \sqrt{((5-(-7))^{2}+(-3-(-3))^{2} )}=\sqrt{144}\\l(BD)=12\ unit

Now Substituting AC and BD in Formula we get

\textrm{Area of Rhombus}=\dfrac{1}{2}\times AC\times BD

\textrm{Area of Rhombus}=\dfrac{1}{2}\times 6\times 12=36\ unit^{2}

Therefore the Area of Rhombus ABCD is 36 unit².

6 0
3 years ago
Use the graph of the function to find the domain and range of f.
Alik [6]
The domain is the x-values u insert to get corresponding y-values. In other words, the domain is the boundaries for which u can enter x valies. In this graph, we can see that the function continues infinitely upwards, not vertical shifting a bit to the sides. This means that the domain is all x belonging to the set R, since for any x value, we will get a corresponding point on the graph. For the range, it is simply the range of the y-values. From the graph, teh range is -4
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. Complete the analogy: _____________ is to Function as Transformation is to One-to-one Function.
Elodia [21]

Answer:

The function machine metaphor helps explain the definition and properties of a function. ... One tool for understanding functions is the function machine metaphor. Once you ... We can imagine it is some machine that does this transformation.

Step-by-step explanation:

https://www.khanacademy.org/math/algebra2/x2ec2f6f830c9fb89:transformations/x2ec2f6f830c9fb89:symmetry/v/function-symmetry

this might help you.

4 0
3 years ago
The nth term is 3n+2
poizon [28]

Answer:

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Similarly for tenth term, let n = 10

a₁₀ = 3(10) + 2 = 30 + 2 = 32

7 0
3 years ago
Finally, you make an approximately circular yard using 80 ft of fence. What is the area of the yard? (Hint: First find the radiu
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Since the circumference is 80, you know that the equation used was:
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6 0
3 years ago
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