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fgiga [73]
3 years ago
7

(Y = -x + 4), (y = 3/2x - 6)

Mathematics
1 answer:
Temka [501]3 years ago
8 0

Answer:

x = 4

Step-by-step explanation:

- x + 4 =  \frac{3}{2} x - 6 \\  - 2x + 8 = 3x - 12 \\ 2x - 8 =  - 3x + 12 \\ 5x = 20 \\ x = 4

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When a number is a multiple of 6, what are the possible values for the ones digits?
Liula [17]
I would do this by first listing the multiples of 6 until I start to see a pattern with the one's digit.
6x0=0
6x1=6
6x2=12
6x3=18
6x4=24
6x5=30
6x6=36
6x7=42
6x8=48
...
The digits in bold are the one's digits so those are the only ones we really care about.  If you list just them it looks like: 0,6,2,8,4,0,6,2,8
Notice how the first set of 5 numbers seems as though it repeats in the 6th, 7th, and 8th numbers.  This probably means the pattern continues infinitely so the first 5 numbers are all the one's digits that can come from multiples of 6.  Thus your answer is: 0,6,2,8,or 4 
7 0
3 years ago
given that BD is the median of ABD and that ABD is isosceles congruence postulate SSS can be used to prove which of the followin
Alja [10]

It is given in the question that

BD is the median. So it divides the opposite sides in two equal parts .

Therefore in triangles BAD and BCD,

AB and AC are congruent because of isosceles triangle.

AD and CD are congruent because of the median BD.

And BD and BD are congruent .

So the two triangles are congruent by SSS and the correct option is the first option .

3 0
3 years ago
Read 2 more answers
A doorway is 7 1/2 feet tall. How many inches tall is the doorway?
neonofarm [45]

Answer:

6.07/212

Step-by-step explanation:

5 0
2 years ago
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What are the solution(s) to the quadratic equation 40 − x2 = 0? x = ±2 x = ±4 x = ±2 x = ±4
hichkok12 [17]

Answer: x=\±2\sqrt{10}

Step-by-step explanation:

To find the solutions of the quadratic equation given in the problem, you can apply the proccedure shown below:

- Subtract 40 from both sides of the equation.

- Multiply both sides of the equation by -1

- Apply square root to both sides of the equation.

Therefore, by applyin the steps above, you obtain:

40-x^2-40=0-40\\-x^2=-40\\(-1)(-x^2)=(-40)(-1)\\\\x^2=40\\\\\sqrt{x^2}=\±\sqrt{40}\\\\x=\±2\sqrt{10}

3 0
3 years ago
Read 2 more answers
The function f(x)=-10(x)(x-4) represents the approximate height of a projectile launch on the ground into the air as a function
ELEN [110]

Answer:

4 seconds.

Step-by-step explanation:

The function f(x)=-10(x)(x-4) ........ (1), represents the approximate height of a projectile launch on the ground into the air as a function of time in seconds x.

Now, we are asked that for how long from the launch does the projectile stays in the air.

Therefore, we have to solve the equation (1) making f(x) as zero.

Hence, 10x(x - 4) = 0

⇒ x = 0 or x = 4

(As x can not be zero since at x = 0 sec, the projectile was at the ground.}

Hence, x = 4 seconds.

Therefore, the projectile was in the air for 4 seconds. (Answer)

4 0
3 years ago
Read 2 more answers
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