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svetlana [45]
3 years ago
6

Solve the inequality

Mathematics
1 answer:
aev [14]3 years ago
3 0

Answer:

x<3

Step-by-step explanation:

4x-7<5

4x<5+7

4x<12

x<3

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Three roads, A, B and C, all run south to north. They each meet a highway that runs west to east. Road B is 4.6 mi east of Road
WITCHER [35]

Answer:

Road C is 1.5 mi east of Road A

Step-by-step explanation:

we know that

Road B is 4.6 mi east of Road A

Road C is 3.1 mi west of Road B

so

Road C is between Road A and Road B

AB=4.6 miles

CB=3.1 miles

AB=AC+CB

Solve for AC

AC=AB-CB

AC=4.6-3.1=1.5 miles

therefore

Road C is 1.5 mi east of Road A

7 0
3 years ago
Vector v is shown in the graph.
Elis [28]

Question 4

<h3>Answer: Choice D</h3>

Explanation:

If the initial point is the origin, the coordinates of the terminal point form the vector itself in component form. We go from (-8,6) to <-8,6>. The notation change is from ordered pair to vector format.

We have a right triangle with legs of 8 and 6 units. The pythagorean theorem will help us determine the hypotenuse is 10. Therefore, the vector length is 10 units and we would say ||v|| = 10. We have a 6-8-10 right triangle.

===========================================================

Question 5

<h3>Answer: Choice B</h3>

Explanation:

Vector v starts at (2,5) and ends at (-3,-2).

The x component of the vector is x2-x1 = -3-2 = -5 meaning we move 5 units to the left when going from the start point to the endpoint.

At the same time we move 7 units down because y2-y1 = -2-5 = -7 which is the y component of the vector.

The component form of vector v is

v = <-5, -7>

it says "move 5 units left, 7 units down".

Apply the pythagorean theorem to find the length of the vector.

a^2+b^2 = c^2

c = sqrt(a^2 + b^2)

||v|| = sqrt( (-5)^2 + (-7)^2 )

||v|| = 8.602 which is approximate.

Now let's use the arctangent function to find the angle

theta = arctan(b/a)

theta = arctan(-7/(-5))

theta = 54.462 which is also approximate.

There's a problem however. This angle is in Q1 but the vector <-5,-7> is in Q3. An easy fix is to add on 180 to rotate to the proper quadrant.

54.462+180 = 234.462

which is the proper approximate angle for theta.

6 0
2 years ago
find all two digit numbers with the following property:the difference between the number and the number with the same digits in
7nadin3 [17]

answer

71-17=54

82-28=54

93-39=54

60-06=54

Step-by-step explanation:

7 0
3 years ago
What is the width of a rectangle with an area of 5/8in2 and a length of 10inches
Aneli [31]
Area = length * width
5/8 = 10 * width
width = (5/8) / 10
width = 1 / 16
width = 0.0625 inches
6 0
3 years ago
Ill mark brainliest helpp plzzz also its more than one answer!!
balandron [24]

Answer:

a) ( j + m ) / 7

b) The product of <em>j</em> and <em>m </em>increased by 7

Step-by-step explanation:

5 0
3 years ago
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