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2 years ago

Draw the graphs of the lines below on the same grid to find the coordinates of the point of

Mathematics

1 answer:

Amanda [17]2 years ago

3 0

Answer:

(2,2) is the solution of the given lines.

Step-by-step explanation:

Given that,

y = x ..(1)

y = 3x-4 ...(2)

We need to find the coordinates of the point of intersection.

From equation (1) and (2).

x=3x-4

4 = 3x-x

4 = 2x

x = 2

Also,

y = 2

<h3>Hence, the coordinates of the point of intersection is (2,2).</h3>

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What is the solution to the system of equations? Use the substitution method.

aleksandrvk [35]

{ y = 3 x - 4
9x -3y = 14

Subsititute y = 3x-4 :

[ 9 x - 3 ( 3 x-14 )=14]

Refine:

9 x - 3 ( 3 x - 4 ) = 14

- 2 = 0

is false , therefore the system of equations has no solution

Answer A

hope this helps!

3 0

3 years ago

32. Which side of the triangle in the diagram is the hypotenuse?<br> A. X<br> B. Y<br> C. Z

Gwar [14]

Hypothenuse is the longest side
You can see the X is the longest

Solution: A. X

8 0

2 years ago

Read 2 more answers

12. Find the surface area of each figure to the nearest tenth.

Zolol [24]

Answer:

12a. 471.2 cm²

12b. 60 m²

Step-by-step explanation:

Part A.

The surface area of each figure is the sum of the end area and the lateral area.

<u>cylinder</u>

S = (2)(πr²) +2πrh = 2πr(r +h)

S = 2π(5 cm)(5 cm +10 cm) =150π cm² ≈ 471.2 cm²

<u>triangular prism</u>

S = (2)(1/2)bh + PL . . . . b=triangle base; h=triangle height; P=triangle perimeter; L=length of prism

S = (4 m)(1.5 m) + ((4 + 2·2.5) m)(6 m) = (6 + 54) m² = 60 m²

_____

Part B.

Surface area is useful in the real world wherever products are made from sheets of material or wherever coverings are applied.

Carpeting or other flooring, paint, wallpaper are all priced in terms of the area they cover, for example.

The amount of material used to make containers in the shapes shown will depend on the area of these containers (and any material required for seams).

6 0

3 years ago

Which trigonometric ratios are correct for triangle DEF?

ziro4ka [17]

Sin(D) = 24/25
tan(D) = 24/7
sin(E) = 7/25

3 0

3 years ago

During a spring clearance sale, Sears advertise 1/4 off the list of Model II microwave ovens and an additional 1/5 off the sale

ozzi

Answer:

$ 75.

Step-by-step explanation:

From the information above,

List price of model II = $240

Sale price of the clearance sale is 1/4 off the list price of Model II microwave oven and additional 1/5 of the sale price for oven that are scratched and dented.

Therefore,

Let the sale price be X,

= (1/4)*(list price) + (1/5)*X

X = (1/4)*(240) + (1/5)*X

X = 60 + (1/5)X

Solving for X,

X - (1/5)X = 60

(4/5)X = 60

X = (60*5)/4

= $75.

4 0

3 years ago