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Anestetic [448]
3 years ago
14

2.

Mathematics
1 answer:
zavuch27 [327]3 years ago
8 0
A. For y= 2x-1, the slope is 2 and the y intercept is -1. Therefore, we should first plot (0,-1). From there, for each increment of x, increase y by 2. For y= 4x-5, the slope is 4 and the y ntercelt is -5. Therefore we should plot (0,-5) and plot an increase of 4 on the y axis per increase of 1 on the x axis. The solution is where the lines cross.

B. (2,3)
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Write a word problem that you can solve by multiplying a mixed number y a whole number.Include a solution
Elanso [62]
3
- x 6 = 4
4

Mary has 6 cakes, she gives 3/4 of the cakes away. How many cakes does Mary have?
6 0
3 years ago
If the largest angle of a triangle is 120° and it is included between sides of 1.5 and 0.5, then (to the nearest tenth) the larg
12345 [234]

Answer:

1.8 units.

Step-by-step explanation:

The questions which involve calculating the angles and the sides of a triangle either require the sine rule or the cosine rule. In this question, the two sides that are given are adjacent to each other and the given angle is the included angle. This means that the angle is formed by the intersection of the two lines. Therefore, cosine rule will be used to calculate the length of the largest side of the triangle. The cosine rule is:

b^2 = a^2 + c^2 - 2*a*c*cos(B).

The question specifies that a=0.5, B=120°, and c=1.5. Plugging in the values:

b^2 = 0.5^2 + 1.5^2 - 2(0.5)(1.5)*cos(120°).

Simplifying gives:

b^2 = 3.25.

Taking square root on the both sides gives b = 1.8 (rounded to the nearest tenth).

This means that the length of the third side is 1.8 units!!!

3 0
3 years ago
A kitchen measures 3.75 meters by 4.2 meters.
dalvyx [7]

Answer:

a. A_{(kitchen)}=15.75\ m^2

b. A_{(total)}=39.375\ m^2

Step-by-step explanation:

The formula for calculate the area of a rectangle is:

A=lw

Where "l" is the lenght and "w" is the width

a. We know that the kitchen measures 3.75 meters by 4.2 meters; then we can say that:

l=3.75\ m\\\\w=4.2\ m

Therefore, substituting these values into the formula, we get that the area of the kitchen is:

A_{(kitchen)}=(3.75\ m)(4.2\ m)=15.75\ m^2

b. The area of the living room is one and a half times (1.5 times) that of the kitchen, this is:

A_{(living)}=(1.5)(15.75\ m)=23.625\ m^2

Therefore, the total of the living room and the kitchen is:

A_{(total)}=15.75\ m^2+23.625\ m^2=39.375\ m^2

3 0
3 years ago
Draw a line representing the "rise" and a line representing the "run" of the line. State the slope of the line in simplest form.
Oduvanchick [21]

Answer:

go up 1 from 9x and left 2

Step-by-step explanation:

-1/2 is the slope of the line

up means pos

right means pos

down means neg

left means neg

5 0
2 years ago
<img src="https://tex.z-dn.net/?f=%28%5Cfrac%7Bz%7D%7B4%7D%20%2B30%29%20%2B%20%28%5Cfrac%7Bz%7D%7B2%7D%20%29%20%3D%20180" id="Te
Dovator [93]

Answer:

  x = 200

Step-by-step explanation:

Multiply by 4:

  x + 120 + 2x = 720

  3x = 600 . . . . . . collect terms, subtract 120

  x = 200 . . . . . . . divide by 3

_____

<em>Check</em>

  (200/4 +30) +(200/2) = 180

  (50 +30) + 100 = 180

  80 + 100 = 180 . . . . . true

_____ _____

<em>Alternate solution</em>

If you like, you can simply work with the equation given.

  (3/4)x + 30 = 180 . . . . collect terms

  (3/4)x = 150 . . . . . . . . . subtract 30

  x = 200 . . . . . . . . . . . . multiply by 4/3

4 0
3 years ago
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