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klio [65]
2 years ago
5

Find the value of k if area of triangle is 4 unit and vertices are (-2,0),(0,4),(0,k)

Mathematics
1 answer:
serg [7]2 years ago
4 0
I'll try my best to help
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Given that the slope is -4 and the y intercept is -4 what is the equation of the line?​
Sloan [31]

Answer:

y=-4x-4

Step-by-step explanation:

y=-4x-4

y=mx+b where m=slope and b=y-intercept.

6 0
2 years ago
An APD Police officer has to write at least 80 speeding
GenaCL600 [577]

Answer:

x=\geq80-27

Step-by-step explanation:

there is needed atleast 80 tickets and you've given 27 so you would need a minimum of 53 tickets to make the inequilaty true

6 0
3 years ago
An architect wants to draw a rectangle with a diagonal of 15 centimeters. The length of the rectangle is to be 6 centimeters mor
S_A_V [24]

Answer:

She should make a rectangle with dimensions 14.4 cm by 4.2 cm.

Step-by-step explanation:

  • The diagonal of a rectangle is represented by \sqrt{length^2+width^2}.
  • Area of rectangle is = length×width
  • Perimeter of a  rectangle = 2(length+width).

Assume x be the width of the rectangle.

The length of the rectangle is to be 6 cm more than twice the width.

The length of the rectangle is= (2x+6) cm

Then the diagonal of the rectangle is \sqrt{length^2+width^2}

                                                             =\sqrt{(2x+6)^2+x^2}

                                                            =\sqrt{4x^2+24x+36+x^2}

                                                             =\sqrt{5x^2+24x+36} cm

According to the problem,

\sqrt{5x^2+24x+36}=15

Squaring both sides

\Rightarrow{5x^2+24x+36}=15^2

\Rightarrow{5x^2+24x+36}=225

\Rightarrow{5x^2+24x+36-225=0

\Rightarrow{5x^2+24x-189=0

⇒5x²+45x-21x-189=0

⇒5x(x+9)-21(x+9)=0

⇒(x+9)(5x-21)=0

⇒x+9=0  or,   5x-21=0

\Rightarrow x=-9, \frac{21}5

⇒x= -9, 4.2

Since the width of a rectangle can not negative.

So, x=4.2 cm

The width of rectangle is = 4.2 cm

The length of the rectangle is =(2×4.2+6)

                                                  =14.4 cm

She should make a rectangle with dimensions 14.4 cm by 4.2 cm.

8 0
2 years ago
Find the slope of the line containing the pair points (9,5) (6,4)
joja [24]

Answer:

y=1/3x+2

Step-by-step explanation:

3 0
3 years ago
7,920 yd = how many mi ??
Arturiano [62]
The answer is 4.5 miles
8 0
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