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lorasvet [3.4K]
3 years ago
15

Graph the line with slope -1/4 and y-intercept 4​

Mathematics
1 answer:
Fudgin [204]3 years ago
7 0

Answer:

y = (-1/4)x + 4 is the equation of the line in slope-intercept form.

Step-by-step explanation:

When graphing the line I like to do it from left to right. Start at the point (0,4) which is the y-intercept as a coordinate. Slope is rise over run so now go down 1 unit and 4 units to the right. Keep doing that pattern and then connect the points to form a line. Make sure to put arrows on the ends to represent that the line goes on forever in both directions. Going right to left you could go up 1 unit and 4 units to the left as well. I hope this helps.

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Tanya runs diagonally across a rectangular field that has a length of 40 yards and a width of 30 yards. How far did Tanya run?
Yuliya22 [10]

Tanya run 50 yards across the diagonal of the rectangular field.

<u>Step-by-step explanation</u>:

Step 1 :

  • Length of the rectangular field = 40 yards
  • width of the rectangular field = 30 yards

Step 2 :

Measure of the diagonal = √(length^2 + width^2 )

Step 3 :

Diagonal = √(40^2 + 30^2 )

               = √(1600 + 900)

               = √2500

               = ±50

Step 4 :

Since distance cannot be negative, The measure of diagonal = 50 yards.

∴ Tanya runs diagonally across a rectangular field is 50 yards.

4 0
3 years ago
I don't get how to work out the repeating problems, could someone explain please?
barxatty [35]
Detecting...

Your answer would be:

0.025 = 1/40 &#10;&#10;0.025/1 * 1000/1000 = 25/1000&#10;&#10;25 \div 25 / 1000 \div 25 = 1/40&#10;&#10;1/40 is your answer.
3 0
3 years ago
MODELING REAL LIFE A baseball is thrown up in the air. The table shows the heights $y$ (in feet) of the baseball after $x$ secon
nikklg [1K]

The equation for the path of the ball can be measured using a regression model calculator which produced the quadratic model ;

  • y(x) = - 16x² + 36x + 4
  • Height at x = 1.7 = 18.89 feets

<u>The table given</u> :

Time, x : __0.5 ___ 1 ____ 1.5 ____ 2

Height, y _ 18 ____22 ___ 24 ____ 12

<u>Using </u><u>technology</u><u> such as a </u><u>quadratic regression</u><u> calculator or </u><u>excel</u> ;

The quadratic regression model obtained is :

  • y(x) = - 16x² + 36x + 4

<u>The </u><u>height after, 1.7 seconds</u><u>, x = 1.7 can be calculated thus</u> :

Put x = 1.7 in the equation :

  • y(1.7) = - 16(1.7)² + 36(1.7) + 4
  • y = 18.89 feets

Therefore, the height of the baseball after 1.7 seconds will be 18.89 feets.

Learn more : brainly.com/question/22939512

5 0
2 years ago
Y = 2/3 x -3 y = -3/2 x +2 what statement about the lines are true
Hoochie [10]

Answer:

The product of the slopes of lines is -1.

i.e. m₁ × m₂ = -1

Thus, the lines are perpendicular.

Step-by-step explanation:

The slope-intercept form of the line equation

y = mx+b

where

  • m is the slope
  • b is the y-intercept

Given the lines

y = 2/3 x -3       --- Line 1

y = -3/2x +2      --- Line 2

<u>The slope of line 1</u>

y = 2/3 x -3       --- Line 1

By comparing with the slope-intercept form of the line equation

The slope of line 1 is: m₁ = 2/3

<u>The slope of line 2</u>

y = -3/2x +2      --- Line 2

By comparing with the slope-intercept y = mx+b form of the line equation

The slope of line 2 is: m₂ = -3/2

We know that when two lines are perpendicular, the product of their slopes is -1.

Let us check the product of two slopes m₁ and m₂

m₁ × m₂ = (2/3)(-3/2 )

m₁ × m₂ = -1

Thus, the product of the slopes of lines is -1.

i.e. m₁ × m₂ = -1

Thus, the lines are perpendicular.

7 0
2 years ago
Part b: The length of the hypotenuse is?
Ipatiy [6.2K]

Answer:

B

Step-by-step explanation:

cus thats the formula

7 0
2 years ago
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