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2 years ago

Solve the system by substitution. 2x=y-10 2x+7=2y The solution is ( , ).

Mathematics

1 answer:

Ugo [173]2 years ago

7 0

Answer:

Step-by-step explanation:

2x=y-10

2x+7=2y

====

2x=y-10

x = (y-10)/2

Use this in the 2nd equation:

2x+7=2y

2((y-10)/2)+7=2y

y - 10 + 7 = 2y

-y -3 = 0

-y = 3

y = -3

Use this in either equation:

2x=y-10

2x=(-3)-10

x = -(13/2) or - 6.5

(-6.5, -3)

See attached graph.

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Select the expression that has a sum of seventy-four hundredths.

Alex_Xolod [135]

It should be D

Explanation:
“Four-tenths (0.4) plus thirty-four hundredths (0.34).”

0.4
0.34
——-
0.74

Hope this helps! :D

4 0

2 years ago

In ΔUVW, w = 44 cm, u = 83 cm and ∠V=141°. Find the area of ΔUVW, to the nearest square centimeter.

Tema [17]

Answer:

$Area \approx 1149\ cm^2$

Step-by-step explanation:

<u>Given that:</u>

ΔUVW,

Side w = 44 cm, (It is the side opposite to $\angle W$ )

Side u = 83 cm (It is the side opposite to $\angle U$ )

and ∠V=141°

Please refer to the attached image with labeling of the triangle with the dimensions given.

Area of a triangle with two sides given and angle between the two sides can be formulated as:

$A = \dfrac{1}{2}\times a\times b\times sinC$

Where a and b are the two sides and

$\angle C$ is the angle between the sides a and b

Here we have a = w = 44cm

b = u = 44cm

and ∠C= ∠V=141

Putting the values to find the area:

$A = \dfrac{1}{2}\times 44\times 83\times sin141\\\Rightarrow A = \dfrac{1}{2} \times 3652 \times sin141\\\Rightarrow A =1826 \times 0.629\\\Rightarrow A \approx 1149\ cm^2$

So, the <em>area </em>of given triangle to the nearest square centimetre is:

$Area \approx 1149\ cm^2$

8 0

3 years ago

Determine whether the graphs of y=-2x-7 and -y=2x+13 are parallel, perpendicular, coincident, or none of these.

Elden [556K]

It's parallel. Definitely true

3 0

3 years ago

Read 2 more answers

Im so confused can someone help me please

hram777 [196]

Answer:

1. false

2. false

3. false

4. true

Step-by-step explanation:

a quadritilateral always has 4 sides, but it dpesnt HAVE to be a square

a parrellelogram can be any shap as long as its parrelel

a rhombus is always a square, becuase if you turn it around... VIOLA! you get a square.

5 0

2 years ago

Make a number line for 42+59

yuradex [85]

Answer:42 + 59 is 101

Step-by-step explanation: so draw the line for the number line and mark it by tens by going 10 20 so on and so on then do 4 of the ten hops and and 2 tiny hops then get a diffrent color pencil and do the number 59 in jumps

7 0

2 years ago