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Setler79 [48]
2 years ago
14

X = y2 - 1

Mathematics
1 answer:
MissTica2 years ago
5 0

Answer:

Option (2) is correct.

2y^2-y-6=0

Step-by-step explanation:

Given two equations x=y^2-1 and 2x-y=4

We have to choose an equation from the given options which could be the result of using substitution to solve the system.

Since the given equation is in term of y , so we make substitution of x in term of y.

From 2x-y=4,

⇒ x=\frac{4+y}{2}

Substitute  x=\frac{4+y}{2}  in other equation x=y^2-1

We get, x=y^2-1 \Rightarrow \frac{4+y}{2}=y^2-1

Cross multiply we get,

\Rightarrow {4+y}=2y^2-2

Solving further, we get

\Rightarrow 2y^2-y-6=0

Thus, option (2) is correct.

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lora16 [44]
In order to answer this question let's suppose,
Joe is x miles from the beginning and y miles from the end. These assumptions are necessary to answer further:

Now,
x=2y
x+y=30
plugging in x=2y in the above equation
2y+y=30
3y=30
y=10

Hence, according to our calculations, Joe has to hike 10 miles further
5 0
3 years ago
Explain why 256 + 4 is equivalent to (200 + 4) + (40+4) + (164)​
laiz [17]

The expression 256 + 4 is equivalent to (200 + 4) + (40+4) + (16+4) according to distributive and commutative property of addition.

Given the expression 256 + 4. This can be solved using the partial sum expressed as:

256 + 4

256 + 4

= (200 + 40 + 16) + 4

According to the commutative property, A+B = B+A

The arrangement does not affect the result. Hence;

  • (200 + 40 + 16) + 4 = 4 +  (200 + 40 + 16)

Using the distributive law;

  • 4 +(200 + 40 + 16) = (200 + 4) + (40 + 4) + (16 + 4)

Hence the expression 256 + 4 is equivalent to (200 + 4) + (40+4) + (16+4) according to distributive and commutative property of addition.

​Learn more on  partial sum  here: brainly.com/question/6958503

4 0
2 years ago
Estimate the difference of the decimals below by rounding to the nearest
Olin [163]

Answer:

50

Step-by-step explanation:

53.042 -3.350 = 49.692---> 50

8 0
2 years ago
Read 2 more answers
In ΔEFG, the measure of ∠G=90°, the measure of ∠E=20°, and GE = 75 feet. Find the length of EF to the nearest tenth of a foot.
LenKa [72]

Answer:80 feet

Step-by-step explanation:

Sum of < in a triangle is 180°

<G + <E + <F=180°

90 + 20 + < F = 110

< F = 70°

Using sine rule

sin G\EF = sin F\EG

sin90°\EF = sin70°\75

EF = 75sin90°\sin70°

= 79.81

=80 to the nearest tenth feet.

7 0
3 years ago
The measure of one angle is three times the measure of its complement
kumpel [21]
Complementary angles add up to 90.
First angle:x
Second angle:3x
x+3x=90
4x=90
x=22.5
The first angle is 22.5 degrees and the complement is 67.5
3 0
3 years ago
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