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Gekata [30.6K]
2 years ago
9

What is the slope, y-intercept, and equation that represents this graph? (ANSWER QUICK PLEASE)

Mathematics
1 answer:
Flura [38]2 years ago
7 0

<u>Answer:</u>

slope = 1.5 , y-intercept = 12 , equation =   y = 1.5x + 12

<u>Explanation:</u>

  1. here we can see the line intersecting the y-axis at 12. this is y intercept.
  2. to find slope: find two best coordinates: ( 0 , 12 ) , ( 4 , 18 )
  •      now use the formula to find slope: \frac{y2-y1}{x2-x1}

                                                                        : \frac{18 - 12}{4 - 0 }

                                                                        : \frac{6}{4}

                                                                        1.5 is the slope of the line

  • equation formula: y = mx + b .......where m is slope and b is y intercept

                                      y = 1.5x + 12

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Answer:

The answer is x=35

Step-by-step explanation:

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3 years ago
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Triangle XYZ was dilated by a scale factor of 2 to create triangle ACB and tan ∠X = 5 over 2 and 5 tenths
Bond [772]

Answer:

C. AB/XY = AC/XZ

Step-by-step explanation:

Dilation:

A dilation is a transformation that produces an image that is the same shape as the original, but is a different size. The original figure either stretches or shrinks by a certain factor.

In the problem, the dilation is by a factor of 5 and we can see that ABC shrinks to form XYZ.

So, ABC and XYZ are similar triangles which means that the ratio of their corresponding sides will be equal:

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If the sixth term of a sequence is 128 and the common ratio is 2, then what is the first term?
Lady bird [3.3K]
Geometric progresión:
we can calculate any term, using this rule:
 
an=a₁*r^(n-1)
a₁=the first term
r=the common ratio


a₆=128
r=2

an=a₁ * r^(n-1)
128=a₁ * 2⁶⁻¹
128=a₁ * 2⁵
128=a₁ * 32
a₁=128/32=4

Solution: a₁=4
3 0
3 years ago
What is the 31st term of the arithmetic sequence for 1.77, 1.92,2.07
natita [175]

Given that sequence 1.77, 1.92,2.07 is arithmetic sequence.

Using that we have to find 31st term.

To find that we can use nth term formula of arithmetic sequence which is given by:

t_n=a_1+(n-1)d

where n is the number of term so n=31

t_n indicates nth term

a_1 is the first term so a_1=1.77

r is the common difference which is given by difference of consecutive terms

then r=1.92-1.77=0.15

Now plug these values into above formula


t_n=a_1+(n-1)d

t_{31}=1.77+(31-1)*0.15

t_{31}=1.77+(30)*0.15

t_{31}=1.77+4.5

t_{31}=6.27


Hence final answer is 6.27.

8 0
4 years ago
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