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ale4655 [162]
3 years ago
10

HELP ON 7,8,9,10 EXPLAIN OR GIVE ME HINTS NO ANSWERS

Mathematics
1 answer:
aliya0001 [1]3 years ago
7 0
7. Try drawing 2 lines parallel from each other. What shape do you think of first?
8. To find the perimeter, you add up all of the sides.
9. A parallelogram has 2 pairs of parallel sides.
10. A rhombus is basically a square; all even sides. A rectangle has 2 pairs of parallel sides and the sides are not all the same. 
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a. Verify that the given point lies on the curve. b. Determine an equation of the line tangent to the curve at the given point.
xxMikexx [17]

Answer:

y = 13*( -x/9 + 1/5)

Step-by-step explanation:

Given:

- The curve has an equation as follows:

                               44 = 5x^2 + 3xy + 3y^2

Find:

a. Verify that the given point (2​,2​) lies on the curve.

b. Determine an equation of the line tangent to the curve at the given point.

Solution:

- To verify whether the point lies on the given curve we will substitute the coordinates of the point into the equation as follows:

                              44 = 5*(2)^2 + 3*(2)(2) + 3*(2)^2

                              44 = 20 + 12 + 12

                              44 = 44 ......Hence proven.

- The equation of the line tangent to the curve is expressed as a linear function as follows:

                              y = m*x + C

Where, m is the gradient of the line.

            C is the y-intercept.

                              m = Δy / Δx = dy/dx

- We will take the derivative of the given curve with respect to x as follows:

                             0 = 10x + 3*( y + xy' )  + 6y*y'\\\\-10x - 3y = y' ( 3x + 6y)\\\\ y' = - \frac{10x + 3y}{3x + 6y}

- Evaluate y' at the point (2,2) we get:

                            y' = - ( 10(2) + 3(2) ) / ( 3(2) + 6(2) )

                            y' = - ( 26 ) / (18)

                            y'= m = - 13/9

- To evaluate C, we will use the point (2,2) for linear expression above with m as follows:

                            y = -13*x/9 + C

                            2 =-13*(2)/9 + C

                            C = 13 / 5

- The equation of the tangent is as follows:

                            y = 13*( -x/9 + 1/5)  

8 0
3 years ago
What is the degree of one and a half full turns
anygoal [31]

1turn = 360 half a turn is 180
360+180=540

8 0
3 years ago
A gardener buys a rake and a pair of gloves for each of the 12 volunteers in the gardening club. Each pair of gloves
matrenka [14]

Let unit cost of one rake be : r

Given : Total number of volunteers = 12

Given : Each pair of gloves cost $8.00

⇒   Cost of 12 pair of gloves for 12 volunteers = (12 × 8) = $96

Given : The gardener spends a total of $300 on both rakes and gloves

⇒   Cost of 12 rakes + Cost of 12 pair of gloves = $300

⇒   12r + 96 = 300

⇒   12r = 204

⇒   r = 17

<u>Answer</u> : Cost of one rake is $17

4 0
3 years ago
A statue is 175 feet tall. if at a certain time of day a 6 foot tall person cast an 8 foot shadow, how long will the statues sha
xxMikexx [17]
If a 6 foot tall person cast an 8 foot shadow then the scale would be 4:3. So the statue will be aproximately 233,4 feet long (Sorry if I'm wrong)
8 0
3 years ago
Select all of the equations that are true.
ValentinkaMS [17]

Answer:

none

823÷418=2

1112÷834=1.333333333

8 0
2 years ago
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