All categories

4 years ago

A line passes through the points (2,-2) and (-6,2). The point (a.-4) is also on the line. What is the value of a?

Mathematics

1 answer:

Zigmanuir [339]4 years ago

8 0

Answer:

Step-by-step explanation:

Hey there) The formula of your line is:

$-2=2k+b\\2=-6k+b\\=>4=-8k\\k=-0.5\\=> b=-2+1=-1\\=>y=-\dfrac{1}{2}x-1\\$

If point has y=-4, then:

$-4=-\dfrac{1}{2}a-1\\4=\dfrac{1}{2}a+1\\a=6$

Hope this helps) Have a nice day/night :)

You might be interested in

Patty wants a triangle garden in her backyard for all of her vegetables. She

otez555 [7]

Answer:

Step-by-step explanation:

the hypothenuse is the largest side in the right triangle

we have 2 side, 7,8

in a right triangle, c^2= a^2+b^2

where c is the hypothenuse

c^2=49+64=113

c=sqrt113=aprox 10.6

so, the answer is no if it has to be exactly 10 ft the hypotenuse

5 0

3 years ago

-4x-y=24 missing value

Lunna [17]

Answer:

For solving x x= -24+y/4 For solving Y y=−24−4x

Step-by-step explanation:

This is solving for x

Add y to both sides.

−4x=24+y

Divide both sides by -4

and the answer is

x= -24+y/4

THis is solving Y

Add 4x to both sides

−y=24+4x

Multiply both sides by -1

and the answer is

y=−24−4x

7 0

3 years ago

What regular polygon has an interior angle of 156 degrees

icang [17]

Answer:

regular pentadecagon

Step-by-step explanation:

it has 15 sides

that is what matches the exterior angled sum property - 360degree

let me explain it

1 side = 180 - 156 = 24

360/24 = 15

mark me brainliest and thank me if you like the answer

4 0

2 years ago

A carpenter is putting a skylight in a roof. If the roof measures 10 + 8 by 8 + 6 and the skylight measures + 5 by 3 + 4, what i

Usimov [2.4K]

Answer:

The area is: $77x^2 + 105x + 28$ , option b.

Step-by-step explanation:

Rectangular area:

The area of a rectangular space is given bt the multiplication of its measures.

Area of the roof:

Dimensions of 10x + 8 and 8x + 6. So

$A_{r} = (10x+8)(8x+6) = 80x^2 + 60x + 64x + 48 = 80x^2 + 124x + 48$

Area of the skylight:

Dimensions of x + 5 and 3x + 4. So

$A_{s} = (x+5)(3x+4) = 3x^2+4x+15x+20 = 3x^2 + 19x + 20$

What is the area of the remaining roof after the skylight is built?

Total subtracted by the skylight, which is a subtraction of a polynomial, in which we subtract the like terms. So

$A_{r} - A_{s} = 80x^2 + 124x + 48 - (3x^2 + 19x + 20) = 80x^2 - 3x^2 + 124x - 19x + 48 - 20 = 77x^2 + 105x + 28$

The area is: $77x^2 + 105x + 28$ , option b.

3 0

3 years ago

2. A man drove 240 miles south at the rate of 60 miles per hour. On the return trip, he drove the rate of 40 miles per hour. The

shutvik [7]

$av = \frac{v_{2} - v_{1}}{t_{2} - t_{1}}$

$t_{1} = \frac{d}{v_{1}} = \frac{240}{60} = 4 \: hours \\ t_{2} = \frac{d}{v_{2}} = \frac{240}{40} = 6 \: hours$

$av = \frac{v_{2} - v_{1}}{t_{2} - t_{1}} = \frac{40 - 60}{6 - 4} = \frac{ - 20}{2} = - 10$

$av \: speed= 10 \\ av \: velocity = - 10 \: \: north$

3 0

2 years ago

Read 2 more answers