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valentinak56 [21]
3 years ago
6

Identify the equation in slope-intercept form for the line containing the point (2,1) and parallel to y=5/3x−1/3.

Mathematics
1 answer:
Gekata [30.6K]3 years ago
3 0

Answer:

y = 5/3x -7/3

Step-by-step explanation:

parallel lines will have the same slope

m = 5/3, point (2, 1)

use point-slope form to find the new equation for the parallel line

y - 1 = 5/3(x - 2)

y = 5/3x - 10/3 + 1

y = 5/3x -7/3

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The diagram represents a reduction of a triangle by using a scale factor of 0.8.
Alekssandra [29.7K]

Answer:

4.8 inches

Step-by-step explanation:

<em>See comment for complete question</em>

Represent the larger triangle with 1 and the smaller with 2.

So, we have:

H_1 =6\ in -- height of 1

Required

Determine H2 --- Height of 2

To do this we apply dilation formula.

Original * Scale\ Factor = New

In this case:

H_1 * Scale\ Factor = H_2

Substitute 6 for H1 and 0.8 for Scale Factor

6* 0.8 = H_2

4.8= H_2

Hence, the height of the smaller triangle is 4.8 inches

3 0
3 years ago
What is the slope of the line y=2x+5?​
sweet [91]
Answer:

The slope is 2

Explanation:

The equation is written in y=mx+b
M would always be the slope and b the y intercept

Hope this helps!!
4 0
3 years ago
Read 2 more answers
HELP ASAP WILL MARK BRAINLIEST
DochEvi [55]

Answer:

EF , HG , Parallel

Step-by-step explanation:

Here we are given a translated quadrilateral EFGH from Quadrilateral ABCD.

Also given that AB was parallel to DC.

Now we have to fill in the certain blanks.

Here EF is parallel to AB , As EFGH is a translated image of ABCD. And EF and AB are the corresponding sides.

Also HG is parallel to DC, EFGH is a translated image of ABCD.

Also we are given that AB is parallel to DC. Hence we have following results.

AB║DC

AB║EF

Hence CD║EF

also

CD ║HG

CD║EF

Hence we can come to conclusion that

EF║HG

Hence our answer will be

corresponding segments EF and HG are parallel to each other.

3 0
3 years ago
The horizontal distance on a survey map from the top edge of a riverbank to the river is 85
padilas [110]

Answer:

22 degrees

Step-by-step explanation:

6 0
3 years ago
The bases of a trapezoid are 16.8 yards and 6.9 yards. If the height is 2 yards, what is the area of the trapezoid?
Svet_ta [14]
Hello,
Here is the formula to find the area of the trapezoid:
A=1/2(b1+b2)×h
Where b1 represent big base
b2 represent small base
and h represent height
Now, we just need to replace the number to get the final answer:
A=1/2(16.8+6.9)×2
A=1/2(23.7)×2
A=23.7 square yards. As a result, the area of the trapezoid is 23.7 square yards. Hope it help!
8 0
3 years ago
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