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Elza [17]
3 years ago
15

the length of a side of the square is 4x-1. write a simplified expression that represents the perimeter of the square

Mathematics
1 answer:
Temka [501]3 years ago
3 0
Answer: 16x - 4

Explanation: Since all of the sides of a square are equal in length by definition, the perimeter of a square is 4 times its side length. 4(4x-1) is 16x - 4 when simplified.
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Math help Please!!!!
GalinKa [24]

Part A. What is the slope of a line that is perpendicular to a line whose equation is −2y=3x+7?

Rewrite the equation  −2y=3x+7 in the form y=-\dfrac{3}{2}x-\dfrac{7}{2}. Here the slope of the given line is  m_1=-\dfrac{3}{2}. If m_2 is the slope of perpendicular line, then

m_1\cdot m_2=-1,\\ \\m_2=-\dfrac{1}{m_1}=\dfrac{2}{3}.

Answer 1: \dfrac{2}{3}

Part B. The slope of the line y=−2x+3 is -2. Since -\dfrac{3}{2}\neq -2\quad \text{and}\quad \dfrac{2}{3}\neq -2, then lines from part A are not parallel to line a.

Since -2\cdot \left(-\dfrac{3}{2}\right)=3\neq -1\quad \text{and}\quad -2\cdot \dfrac{2}{3}=-\dfrac{4}{3}\neq -1, both lines are not perpendicular to line a.

Answer 2: Neither parallel nor perpendicular to line a

Part C. The line parallel to the line 2x+5y=10 has the equation 2x+5y=b. This line passes through the point (5,-4), then

2·5+5·(-4)=b,

10-20=b,

b=-10.

Answer 3: 2x+5y=-10.

Part D. The slope of the line y=\dfrac{x}{4}+5 is \dfrac{1}{4}. Then the slope of perpendicular line is -4 and the equation of the perpendicular line is y=-4x+b. This line passes through the point (2,7), then

7=-4·2+b,

b=7+8,

b=15.

Answer 4: y=-4x+15.

Part E. Consider vectors \vec{p}_1=(-c-0,0-(-d))=(-c,d)\quad \text{and}\quad \vec{p}_2=(0-b,a-0)=(-b,a). These vectors are collinear, then

\dfrac{-c}{-b}=\dfrac{d}{a},\quad \text{or}\quad -\dfrac{a}{b}=-\dfrac{d}{c}.

Answer 5: -\dfrac{a}{b}=-\dfrac{d}{c}.

5 0
3 years ago
Read 2 more answers
The Human Resources manager at a company records the length
luda_lava [24]

Answer:

the correct answer is 0.84

give brainliest plzzz

6 0
3 years ago
How much longer will it take a car traveling at an average speed for 2 miles per hour to make the trip from San francisco to New
lbvjy [14]

Answer:

1445.6 hours

Step-by-step explanation:

Distance between New York and San Francisco = 2902.8 miles (checked online)

Average speed of car = 2 mi/hr

Average speed of jet = 500 mi/hr

Time taken by Jet:

Time taken = Distance / speed

Time taken = 2902.8 / 500

Time taken = 5.8056 = 5.8 hours

Time taken by Car :

Time taken = Distance / speed

Time taken = 2902.8 / 2

Time taken = 5.8056 = 1451.4 hours

Time difference :

1451.4 - 5.8 = 1445.6 hours

7 0
3 years ago
Find the number of terms in the sequence and find the sum of the sequence: <br><br> 5+9+13+...+145
SashulF [63]
145-13-9-5 that what your looking for
8 0
2 years ago
Ann is grouping 38 rocks se can put them into Groupon of 10 rocks or as single rocks. What are the difierent ways Ann can Groupo
exis [7]
She could switch them around by grouping them into groups of 4s, 3s, 2s, or 5s.
5 0
4 years ago
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