Make a Conjecture A table shows a proportional relationship where kis

How to find the slope intercept form of the equation using another line in slope intercept form and a point for the line?

Alexeev081 [22]

Answer:

IF the other line is parallel you use the same slope (m) as the line given then find the y intercept (b) by plugging in the (x,y) and m into y = mx + b

Step-by-step explanation:

3 0

3 years ago

The perimeter of a triangle with two equal sides is 46 cm. If it's base were lengthened by 3 cm and each leg were shortened by 5

lana66690 [7]

Answer:

The original triangle has sides of 18 cm, 18 cm and 10 cm

Step-by-step explanation:

Let x cm be the length of the leg of the original triangle and y cm be the length of the base of the original triangle.

1. Since the perimeter of the original triangle is 46 cm, then

x+x+y=46.

2. If it's base were lengthened by 3 cm, then it becomes y+3 cm. If each leg were shortened by 5 cm, then each leg becomes x-5 cm. All three sides became equal, then

y+3=x-5.

3. Solve the system of two equations:

$\left\{\begin{array}{l}2x+y=46\\x-5=y+3\end{array}\right.\Rightarrow \left\{\begin{array}{l}2(y+8)+y=46\\x=y+8\end{array}\right.,\ 2y+y=46-16,\ 3y=30,\ y=10\ cm.$

Then $x=10+8=18\ cm.$

3 0

3 years ago

Using the quadratic formula to solve 11x2 – 4x = 1, what are the values of x?

Yakvenalex [24]

Answer

x = 2 + √15/11, 2 - √15/11

Decimal Form:

x = 0.53390757

x = -0.17027121

Step-by-step explanation:

^^

6 0

3 years ago

use an equation to write each fraction as multiple of unit fraction 1/6 + 1/6 + 1/6 + 1/6 + 1/6 how do you get to 5/6

weeeeeb [17]

Answer:

Equation: 1/6 + 1/6 + 1/6 + 1/6 + 1/6 = 5/6

Step-by-step explanation:

Unit means 1

Therefore a each 1/6 is the multiple unit of 5/6 because if we had all the 1/6 together, you get 5/6. There is 1 over 6 which you can tell that it is a unit fraction.

8 0

3 years ago

An urban planner is researching commute times in the San Francisco Bay Area to find out if commute times have increased. In whic

Mademuasel [1]

Answer:

Step-by-step explanation:

The urban planner collects travel times from a random sample of 125 commuters in the San Francisco Bay Area. A traffic Study from last year claimed that the average commute time in the San Francisco Bay Area is 45 min. The urban planner will see if there is evidence the average commute time is greater than 45 minutes

( Here in this case, Null hypothesis will be Η :μ = 45

And the Alternate Hypoyhesis will be H, :μ> 45 )

C. The urban planner asks a random Sample of 100 commuters in the San Francisco Bay Area to record travel times on a Tuesday morning. One year later, the urban planner asks the same 100 commuters to record travel times on a tuesday morning . The urban planner will see the difference in commute time shows an increase.

Here in this case the null hypothesis will be, H₀ : $\mu _d$ = 0

And the Alternate Hypothesis will be H, : $\mu _d$ <0 The commute time after 1 year is more

5 0

2 years ago

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