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Sergeeva-Olga [200]
3 years ago
7

HELP!! ASAP!!!!! Which system of equations below has infinitely many solutions?

Mathematics
2 answers:
OverLord2011 [107]3 years ago
7 0

Answer:

The correct option is B. y=-3x+4 \ \text{and}\ \ 3y=-9x+12

Step-by-step  explanation:

Consider the two linear equation:

a_1x+b_1y+c_1=0\ \text{and}\ \ a_2x+b_2y+c_2=0

The pair of linear equation has infinitely many solutions when:

\frac{a_1}{a_2}=\frac{b_1}{b_2}=\frac{c_1}{c_2}

Now consider the option.

Option a) y=-3x+4 \ \text{and}\ \ y=-3x-4

The above equation can be written as:

y+3x-4=0 \ \text{and}\ \ y+3x+4=0

Therefore,

\frac{1}{1}=\frac{3}{3}\neq\frac{-4}{4}

Thus, this pair has no solution.

Now consider the option B. y=-3x+4 \ \text{and}\ \ 3y=-9x+12

The above equation can be written as:

y+3x-4=0 \ \text{and}\ \ 3y+9x-12=0

Therefore,

\frac{1}{3}=\frac{3}{9}=\frac{-4}{-12}

Thus, this pair has infinitely many solution.

Hence, the correct option is B. y=-3x+4 \ \text{and}\ \ 3y=-9x+12

KengaRu [80]3 years ago
6 0
Hello,

Answer B since
(y=-3x+4)* 3==> 3y=-9x+12 which is the second equation ==>infinity many solutions.

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Suppose f varies directly as g, and f varies inversely as h. Find g when f = 10 and h = –12, if g = 56 when h = –2 and f = –7. R
kow [346]

Answer:

-480

Step-by-step explanation:

If f varies directly as g, and inversely as h, then we can write the variation equation:

f=\frac{kg}{h}, where k is the constant of variation.

If g=56 when h=-2 and f=-7, then we substitute these values into the formula to find the value of k.

-7=\frac{k(56)}{-2}

-7\times -2=56k

k=\frac{14}{56}=\frac{1}{4}

The equation now becomes:

f=\frac{g}{4h}

if f=10 and h=-12, then;

10=\frac{g}{-48}

g=-48\times 10=-480

The correct answer is B.

4 0
3 years ago
Tina is making a scale model of A monument that is 155 feet tall she uses a scale of 1 inch = 5 feet how tall should Tina make h
fenix001 [56]

Tina should make 31 inch tall model to replicate 155 feet tall monument.

Step-by-step explanation:

This problem can be solved by direct unitary methods easily-

Firstly, Scale is the ratio of the dimension of the original substance to the dimension of a model

Scale= original dimension/ model dimension

Model is the miniaturised representation of a substance.

The monument is 155 feet tall

Tina replicates it with a scale 1inch: 5 feet

Thus, this means that Tina would need 155*1/5 = 31 inch tall model to replicate the complete length of the monument.

Hence Tina needs to make 31-inch tall model.

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3 years ago
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The square root of -18 is 3i√ 2

Hope this helps


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3 years ago
I need help with these two problems. [9 and 10] FORMULAS GIVEN!!
zaharov [31]
<h2>Question 9:</h2>

1. Use Pythagorean Theorem (a²+b²=c²) to solve for missing side of triangle and rectangle. x²+16²=20², or x²+256=400. So, x²=144, and x=12

2. Use formula: 1/2(h)(b1+b2). 1/2 (12) (30+14).

3. Simplify: 1/2 (12) (44)=1/2(528)=264

Area of whole figure is 264 square mm.

<h2>Question 10:</h2>

Literally same thing but with trigonometry.

1. Use sine to find out length of dotted line: sin(60°)=x/12

2: Simplify: 12*sin(60°)=x. x≈10.4 (rounded to the nearest tenth)

3. Use Pythagorean Theorem to find out last leg of triangle: 10.4²+x²=12²

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6: Simplify: 1/2 (10.4) (66) =343.2

7: Area of figure is about 343.2

Remember, this is an approximate answer with rounding, so it might not be what your teacher wants. The best thing to do is do it yourself again.

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