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bixtya [17]
2 years ago
5

Write an equation in slope-intercept form of the line with slope −1 that contains the point (5,−2).

Mathematics
1 answer:
statuscvo [17]2 years ago
5 0

Answer:

y=-x+3

Step-by-step explanation:

y-y_{1}=m(x-x_{1})\\ y-(-2)=-(x-5)\\y+2=-(x-5)\\y+2=-x+5\\y+2-2=-x+5-2\\y=-x+3

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Your heart beats 320 times in 5 minutes. What is your heart rate?
iVinArrow [24]

Answer:

1,600

Step-by-step explanation:

6 0
3 years ago
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45 cm<br> 60 om<br> What is the length of the hypotenuse?<br> centimeters?
ExtremeBDS [4]

Answer:

Answer:

Length of leg of triangle =  

Step-by-step explanation:

We are given a 45°-45°-90° triangle with hypotenuse measuring 18 cm.

Let us assume the following labeling of the diagram, as attached in the answer area.

The two angles here are equal to 45° so two sides of the triangle opposite to the equal angles will also be equal to each other i.e. it is an isosceles triangle.

i.e. The sides XY and YZ will be equal.

Let XY = YZ = x cm

It is known that in a right angled triangle, pythagorean theorem holds well.

As per pythagoream theorem:

Putting the values:

So, the length of leg of triangle =

Step-by-step explanation:

5 0
2 years ago
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What is the equation of line perpendicular to y-3=-4(x+2) and passee through the point (-5,7
netineya [11]

Answer: y=\frac{1}{4}x+\frac{33}{4}


Step-by-step explanation:

1. By definition, two slopes are perpendicular if their slopes are negative reciprocals of each other. So, let's find the slope of the other line.

2. The equation given in the problem is written in Point-slope form:

y-y_1=m(x-x_1)

Where m is the slope.

3. Therefore, the slope of its perpendicular line must be:

m=\frac{1}{4}

4. You have the point (-5,7), so you can substitute it into the point-slope formula to find the equation of the new line:

y-7=\frac{1}{4}(x+5)

5. In slope intercept form is:

y=\frac{1}{4}x+\frac{5}{4}+7\\y=\frac{1}{4}x+\frac{33}{4}

7 0
3 years ago
5.
irina [24]

Answer:

160 m²

384 m²

Step-by-step explanation:

The area of a trapezium is given by :

A = 1/2(a + b)h

h = height ; a and b = lengths

From the diagram :

A = 1/2(12 + 20)10

A = 1/2(32)10

A = 16 * 10

A = 160 m²

2.)

Area of parallelogram = base * height

Base = 24 ; h = 16

A = 24 * 16

A = 384 m²

7 0
2 years ago
Please answer. Will mark the brainliest and will give 20 points.
Dimas [21]

Answer: it is C

Step-by-step explanation:

5 0
3 years ago
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