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Soloha48 [4]
3 years ago
9

8. Find the value of k, if (1-1) is a solution of the equation 3x-ky =8. Also, find the coordinates of

Mathematics
1 answer:
Yakvenalex [24]3 years ago
8 0

Answer:

k = 5 and (6,2).

Step-by-step explanation:

Since (1,-1) is a solution of the equation 3x - ky = 8, so the point (1,-1) will satisfy the equation above.

Hence, putting x = 1 and y = -1 in the equation will give left-hand side = right-hand side.

So, 3(1) - k(-1) = 8

⇒ 3 + k = 8

⇒ k = 5 (Answer)

Therefore, the equation of the straight line is 3x - 5y = 8 ....... (1)

Now, putting x = 6 , then from equation (1) we get y = 2

Therefore, (6,2) is also a point on the graph of equation (1). (Answer)

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drek231 [11]

since the graph has direct variation as data in x axis increases y also increases.

so we need to find how many miles travelled per galloon .

we distance travelled per gallon =total distance travelled/galoons of fuel used.

Distance travelled per gallon=200 miles/400 gallons=0.5 litres travelled per gallon

for part b) slope=rise/run

m=(y2-y1)/(x2-x1)

y2=400  y1=0 x1=0 x2=200

m=(400-0)/(200-0)=2

slope of the graph is 2

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3 years ago
In February Liliana spent 35 hours watching Netflix. In march she only spent 18 hours watching. What was the percent decrease in
ArbitrLikvidat [17]
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2 years ago
Find the degree measure of each angle in the triangle. Giving brainly
Lena [83]

Answer:

∠ I = 39°, ∠ J = 51°, ∠ K = 90°

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Sum the3 angles and equate to 180

3x + 21 + 5x + 21 + 90 = 180, that is

8x + 132 = 180 ( subtract 132 from both sides )

8x = 48 ( divide both sides by 8 )

x = 6

Then

∠ I = 3x + 21 = 3(6) + 21 = 18 + 21 = 39°

∠ J = 5x + 21 = 5(6) + 21 = 30 + 21 = 51°

∠ K = 90°

5 0
2 years ago
Help meee i am stuck
Setler79 [48]

Answer:

153.94 inches cubed

Step-by-step explanation:

plug in 7 as the radius

the formula is A = πr^2

7 0
3 years ago
Can some help me with this
Oksana_A [137]
  1. 8^3+ 5^5 = 537
  2. 3^3 * 9^2 = 2,187
  3. 7^2 + 8^3 - 4^2 = 545
  4. 8^3 * 5^3 / 5^2 = 2,560

5 0
3 years ago
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