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3 years ago

What is the area of a triangle with vertices at (−4, 1) , (−7, 5) , and (0, 1) ?

1 answer:

3 0

Plot the points on a graph. Connect the dots into a triangle. See that the height of the triangle is from y=5 down to y=1. So the height is 4 units.
Area of a triangle: A = (1/2)BH

You need to find the length of the base. Which is from point (-4,1) to (0,1). You can use the distance formula r just see from the graph that the base is 4 units.

A = (1/2)(4)(4)
A = 8

** Distance formula fyi
d² = (X-x)² + (Y-y)²
with points (X,Y) and (x,y)
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2 years ago

Evaluate 3^2 + (5-2) X 4 - 6/3

muminat

Answer:

The result is 19

Step-by-step explanation:

$3^{2} + (5-2)x4 - 6/3$

Step 1: Parenthesizing (5-2)=3

$3^{2} + 3x4 - 6/3$

Step 2: Exponentiation $3^{2}=9$

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Step 3: Multiplication and division 3x4=12 and 6/3=2

$9 + 12 - 2$

Step 4: Addition and subtraction 9+12=21, and 21-2=19

21-2

The operations are ordered from highest to lowest in the order:

1. Parenthesizing,

2. Factorial,

3. Exponentiation,

4. Multiplication and division,

5. Addition and subtraction.

Hope this helps!

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3 years ago

Read 2 more answers

Answer the following questions about the sphere whose equation is given by x2+y2+z2−8x+4y=−4. 1. Find the radius of the sphere.

Anna [14]

Answer:

we have (a,b,c)=(4,-2,0) and R=4 (radius)

Step-by-step explanation:

since

x²+y²+z²−8x+4y=−4

we have to complete the squares to finish with a equation of the form

(x-a)²+(y-b)²+(z-c)²=R²

that is the equation of a sphere of radius R and centre in (a,b,c)

thus

x²+y²+z²−8x+4y=−4

x²+y²+z²−8x+4y +4 = 0

x²+y²+z²−8x+4y +4 +16-16 =0

(x²−8x + 16) + (y² + 4y + 4 ) + (z²) -16 = 0

(x-4)² + (y+2)² + z² = 16

(x-4)² + (y-(-2))² + (z-0)² = 4²

thus we have a=4 , b= -2 , c= 0 and R=4

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answer

step my step explanation

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2 years ago

Describe its graph. <br><br> 4 – 5x > 19

ira [324]

Answer:

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Step-by-step explanation:

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3 years ago

What is the area of a triangle with vertices at (−4, 1) , ​ (−7, 5) ​ , and ​ (0, 1) ​ ?

What is the area of a triangle with vertices at (−4, 1) , (−7, 5) , and (0, 1) ?