Solve |x|+7<4 A. 0 B. {x|x<-11 or x>-3} C. {x|-3

Mathematics

1 answer:

mars1129 [50]2 years ago

3 0

Answer:

{3xl42}

Step-by-step explanation:

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It take Anna 45 minutes to walk 2 1/2 miles to the park. At this rate, how many minutes should it take her to walk 3 miles?

san4es73 [151]

Anna walks 1 mile in 18 minutes. 18 x 2.5 = 45. if she walks 3 miles instead of 2.5, your only adding half of 18. so 45 + 9. Anna will walk 3 miles in 54 minutes. Hope that helped!

3 0

3 years ago

Use a diagram to name each of the following pairs of angles. If the name doesn't exist say none

nirvana33 [79]

Answer:

see below

Step-by-step explanation:

This is a vocabulary problem, identifying the names of things on a diagram.

Angles are "interior" when they are between the "parallel" lines. They are "exterior" when they are outside those lines. They are "alternate" if they are on opposite sides of the transversal, and "same side" if they are not.

They are "vertical" if they share a vertex and have opposite rays for sides, and they are "corresponding" if they are in the same quadrant of the intersection of crossing lines. (1, 5, 9, 13 are "corresponding", for example.)

5 0

3 years ago

Which of the following would best be solved using factoring the difference of squares? 2² + 3x - 10 = 0 O 3r² + 12x = 8 2³ +52²

IgorC [24]

Given: Different equations

To Determine: Which would be best solved using difference of two squares

Solution

The factorization of a difference of two squares is given below

$a^2-b^2=(a-b)(a+b)$

Let us examine each of the given equation

$\begin{gathered} x^2+3x-10=0 \\ x^2-2x+5x-10=0 \\ x(x-2)+5(x-2)=0 \\ (x-2)(x+5)=0 \end{gathered}$ $\begin{gathered} 3x^2+12x=8 \\ 3x^2+12x-8=0 \end{gathered}$ $\begin{gathered} x^3+5x^2-9x-45=0 \\ x^2(x+5)-9(x+5)=0 \\ (x+5)(x^2-9)=0 \\ x^2-9=x^2-3^2=(x+3)(x-3) \\ Therefore \\ (x+5)(x+3)(x-3)=0 \end{gathered}$ $\begin{gathered} x^2-25=0 \\ x^2-5^2=0 \\ (x+5)(x-5)=0 \end{gathered}$

From the above,