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3 years ago

What is the slope of the line passing through the points (1, –5) and (4, 1)?

1 answer:

8 0

You are given two points that could be plotted on a graph (1,-5) and (4,1). The formula for slope is y2-y1/x2 -x1

When plotted into the points it would look like 1-(-5)/4-1= 6/3

6/3=2. So, the slope for these two points is 2.

You might be interested in

Find ML, JK=3x+11, ML=10x-12, NP=45

tigry1 [53]

Answer:

$ML = 58$

Step-by-step explanation:

Given

$JK=3x+11, ML=10x-12, NP=45$

See attachment

Required

Length ML

First, calculate x using the following equivalent ratios

$JK : NP = NP : ML$

Express as fraction

$\frac{JK }{ NP} = \frac{NP }{ ML}$

Cross Multiply

$JK * ML = NP * NP$

Substitute values:

$(3x +11) * (10x - 12) = 45 * 45$

Expand

$30x^2 - 36x + 110x - 132 = 2025$

$30x^2 +74x - 132 = 2025$

Collect like terms

$30x^2 +74x - 132 - 2025=0$

$30x^2 +74x -2157=0$

Using a calculator:

$x \approx -10$ and $x \approx 7$

Given that:

$ML=10x-12$

Substitute values for x

$ML=10*-10-12 = -100 - 12 = -112$

$ML=10*7-12 = 70 - 12 = 58$

ML cannot be negative; So:

$ML = 58$

5 0

3 years ago

The prime factorizations of 54 and 72 are shown below. Prime factorization of 54: 2, 3, 3, 3 Prime factorization of 72: 2, 2, 2,

zalisa [80]

Step-by-step explanation:

54 = 2 * 3³

72 = 2³ * 3²

To find the GCF of 54 and 72,

we find the highest common powers of their prime factors.

Highest common power for 2: 2

Highest common power for 3: 3²

Hence GCF of 54 and 72 = 2 * 3².

The answer is Option 2.

5 0

3 years ago

Read 2 more answers

Find the value of each variable.

insens350 [35]

Step-by-step explanation:

11)

x= 5

${y}^{2} = 2 \times {5}^{2} \\ {y}^{2} = 50 \\ y = 5 \sqrt{2}$

12)

$\tan(30 ) = \frac{9}{y} \\ y = \frac{9}{ \tan(30) } = 9 \sqrt{3} \\ {x}^{2} = {9}^{2} + {(9 \sqrt{3} )}^{2} \\ {x}^{2} = 324 \\ x = 18$

13)

$\sin(60) = \frac{x}{22} \\ x = 11 \sqrt{3} \\ \cos(60) = \frac{y}{22} \\ y = 11$

14)

${16}^{2} = {x}^{2} + {y}^{2} \\ x = y \\ {16}^{2} = 2 {x}^{2} \\ x = 8 \sqrt{2} \\ y = 8 \sqrt{2}$

15)

$\tan(30) = \frac{x}{42} \\ x = 14 \sqrt{3} \\ \cos(30) = \frac{42}{y} \\ y = \frac{42}{ \cos(30) } \\ y = 28 \sqrt{3}$

16)

${(19 \sqrt{2}) }^{2} = {x}^{2} + {y}^{2} \\ x = y \\ 722 = 2 {x}^{2} \\ {x}^{2} = 361 \\ x = 19 \\ y = 19$

4 0

3 years ago

The cost of 3 movie rentals and 7 boxes is 16:50.the cost of 5 movie rentals and 2 boxes of candy is 13 how much does 1 box of c

Zigmanuir [339]

One box of candy costs $1.50. A movie rental costs $2.

7 0

3 years ago

Find the area of a triangle that has the base of 5 inches and a height of 3 3/4 inches

77julia77 [94]

Answer:

9.375 in^2

Step-by-step explanation:

6 0

3 years ago