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3 years ago

Write an equation in slope intercept form for the line with slope -3 and Y intercept one

1 answer:

4 0

<h2><em>y</em> = -3<em>x</em> + 1</h2><h2></h2><h3>y = mx + b</h3><h3>m = slope</h3><h3>b = y-intercept</h3>

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−3(2+4k)+7(2k−1) eqivalent expression

Alex17521 [72]

Answer:

$\large\boxed{-3(2+4k)+7(2k-1)=2k-13}$

Step-by-step explanation:

$-3(2+4k)+7(2k-1)\qquad\text{use the distributive property}\ a(b+c)=ab+ac\\\\=(-3)(2)+(-3)(4k)+(7)(2k)+(7)(-1)\\\\=-6-12k+14k-7\qquad\text{combine like terms}\\\\=(-12k+14k)+(-6-7)\\\\=2k-13$

6 0

3 years ago

How to solve for x?

Viktor [21]

Multiply both sides by x so that x will be in the numerator

5 0

3 years ago

Read 2 more answers

For a certain model of car the distance d required to stop the vehicle if it is traveling at v mi/h is given by the formula d =

enyata [817]

Given that <span>For a certain model of car the distance $d$ required to stop the vehicle if it is traveling at $v$ mi/h is given by the formula $d=v+\frac{v^2}{20}, where [tex]d$ is measured in feet.

If Kerry wants her stopping distance not to exceed 75 ft, then the range of speeds (in mi/h) can she travel is obtained as follows:

$v+ \frac{v^2}{20} \leq75 \\ \\ 20v+v^2\leq1,500 \\ \\ v^2+20v+100\leq1,500+100 \\ \\ (v+10)^2\leq1,600 \\ \\ |v+10|\leq\sqrt{1,600} \\ \\ -40\leq v+10\leq40 \\ \\ -40-10\leqv\leq v\leq40-10 \\ \\ -50\leq v\leq30$

Therefore, the range of speed she can travel is $v\leq30\ mi/hr$
</span>

8 0

3 years ago

Put these integers in order from least to greatest.<br> 34, 0, – 17, - 56 , 5

tigry1 [53]

Answer: -56 -17 0 5 34

Step-by-step explanation:

The more left you go on a number line the smaller it is

7 0

3 years ago

Read 2 more answers

X, Y and Z form the vertices of a triangle. XY = 12.4m, XZ = 10.4m and YZ = 8.7m. Find the angle ∠ YXZ rounded to 1 DP.

sweet-ann [11.9K]

Answer:

43.8°

Step-by-step explanation:

Applying,

Cosine rule,

From the diagram attached,

x² = y²+z²-2yxcos∅.................... Equation 1

where ∅ = ∠YXZ

Given: x = 8.7 m, y = 10.4 m, z = 12.4 m

Substitute these values into equation 1

8.7² = 10.4²+12.4²-[2×10.4×12.4cos∅]

75.69 = (108.16+153.76)-(257.92cos∅)

75.69 = 261.92-257.92cos∅

collect like terms

257.92cos∅ = 261.92-75.69

257.92cos∅ = 186.23

Divide both sides by the coefficient of cos∅

cos∅ = 186.23/257.92

cos∅ = 0.722

Find the cos⁻¹ of both side.

∅ = cos⁻¹(0.7220)

∅ = 43.78°

∅ = 43.8°

6 0

3 years ago