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3 years ago

Line c passes through points (2, 1) and (6, 6). Line d is parallel to Line c. What is the slope to line d?

Mathematics

1 answer:

Lilit [14]3 years ago

8 0

Answer:

$\frac{5}{4}$

Step-by-step explanation:

We need to find the formula of line c

$\left \{ {{a*2+b=1} \atop {6*a+b=6} \right.$

Subtract these two

-4*a=-5

a= $\frac{5}{4}$

And lies c and d will be paraller if $a_{c}= a_{d}$

so $a_{d}$ = $\frac{5}{4}$

And that's the slope to line d

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Help me please an thank you

svetoff [14.1K]

Answer:

The angle that us congruent to angle 6 is angle 2 and angle 3.

4 0

3 years ago

* Jenny marked on a coordinate plane all points with the first coordinate an integer between −12 and 7 and the second coordinate

Nat2105 [25]

Answer:

Jenny marks 414 different points on the coordinate plane.

Step-by-step explanation:

A point on a coordinate plane is represented by (x, y)

The possible values of x include all the integers between -12 and 7; that is,

-11, -10, -9, -8, -7, -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6.

The possible values of y include all the integers between -12 and 12; that is,

-11, -10, -9, -8, -7, -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11.

This means that each x-value can take on each y-value.

There are 18 x-values and 23 y-values.

Each x-value can form 23 different coordinates with all the available y-values.

18 x-values will form 18 × 23 different coordinates with the all the available y-values.

The total number of points that Jenny marks = 18 × 23 = 414.

Hope this Helps!!!

5 0

3 years ago

A worker uses exactly 4 screws and 7

m_a_m_a [10]

Answer:

well i dont know the options and is there a picture? but some advice is to see how many holes there are and that can help you find the answer

Step-by-step explanation:

Tell me if there is a picture or something else so i can help further :)

4 0

3 years ago

Find the 96th term of the arithmetic sequence 1, -12, -25, ...1,−12,−25,

IrinaK [193]

Answer:

$a_9_6=-1,234$

Step-by-step explanation:

we know that

The rule to calculate the a_n term in an arithmetic sequence is

$a_n=a_1+d(n-1)$

where

d is the common difference

a_1 is the first term

n is the number of terms

we have

$1,-12,-25,...$

Remember that In an Arithmetic Sequence the difference between one term and the next is a constant. and this constant is called the common difference

$a_1=1\\a_2=-12\\a_3=-25$

$d=a_2-a_1=-12-1=-13$

Find the 96th term of the arithmetic sequence

$a_n=a_1+d(n-1)$

we have

$a_1=1\\d=-13\\n=96$

substitute

$a_9_6=1+(-13)(96-1)$

$a_9_6=1+(-13)(95)$

$a_9_6=1-1,235$

$a_9_6=-1,234$

8 0

3 years ago

Wowie there’s a lot of these

alexandr1967 [171]

Answer:

the answer is: B- 6 and 19

Step-by-step explanation:

The reason its b is because, the lowest point is at 6 and the highest point is between 18 and 20, in other words 19.

5 0

3 years ago