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3 years ago

2x + 3y = 15 x + y = 6 Work out the values of x and y.

Mathematics

1 answer:

Igoryamba3 years ago

6 0

Answer:

x is 3

and

y is 3

Step-by-step explanation:

(2*3)+(3*3) = 15

6+9 = 15

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Pls help Multiply. write the result in scientific notation (1.7*10^-4)(5*10^-5)

kramer

Do the exponents first. 10 to the -4 is 1/10000 or 0.0001 and 10^ -5 is 0.00001. You end up with (1.7*0.0001)(5*0.00001) which is 0.00017*0.00005 which is 0.0000000085 or 0.085*10^-8

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3 years ago

The distance of AB = [?] Round to the nearest tenth. No links and actual help plz!

FrozenT [24]

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3 years ago

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Write a polynomial function in factored form w zeros at -2,5,6

AlladinOne [14]

Answer:

Step-by-step explanation:

The zeros of a polynomial are the solutions to the function. They are found from the factors. The factors which multiply to make the equation in standard form. To write the factors reverse the process by unsolving the factor.

x = -2 comes from x+2

x = 5 comes from x-5

x = 6 comes from x-6

The factored form is (x+2)(x-5)(x-6).

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3 years ago

Which equation does not represent a line with an x-intercept of 3?

Gwar [14]

Answer: D. y=3x-1 does not =3

Step-by-step explanation:

To find the x-intercept, we let y=0 and solve for x.

Using choice A:

0=-2x+6

2x=6

x=3

Using choice B:

0=− 1/3x + 1

1/3x = 1

x = 3

Using choice C:

0= 2/3x−2

−2/3x = -2

x=3

Using choice D:

0=3x-1

-3x=1

x=−1/3

So, the correct answer is choice D. Does NOT = 3

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1 year ago

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| 10. Triangle ABC ~Triangle DEF with AB = 8, BC = 12,

Leno4ka [110]

Answer:

Perimeter of triangle DEF = 54 units

Step-by-step explanation:

Given:

Δ ABC is similar to Δ DEF

AB = 8, BC = 12, AC =16 and DE = 12.

Since, the two triangle are similar, their corresponding sides will be in proportion. Therefore,

$\frac{AB}{DE}=\frac{BC}{EF}=\frac{AC}{DF}$

Now, consider the first two ratios.

$\frac{AB}{DE}=\frac{BC}{EF}$

Plug in 8 for AB, 12 for BC, 12 for DE and solve for EF. This gives,

$\frac{8}{12}=\frac{12}{EF}\\8\times EF=12\times 12\\8\times EF=144\\EF=\frac{144}{8}=18$

Now, consider the ratio:

$\frac{AB}{DE}=\frac{AC}{DF}$

Plug in 8 for AB, 16 for AC, 12 for DE and solve for DF. This gives,

$\frac{8}{12}=\frac{16}{DF}\\8\times DF=16\times 12\\8\times DF=192\\DF=\frac{192}{8}=24$

Therefore, the lengths of sides of triangle DEF are:

DE = 12, EF = 18 and DF = 24

Now, perimeter is the sum of all the sides of the triangle. Therefore,

$Perimeter=DE +EF+DF\\Perimeter=12+18+24=54$

Therefore, the perimeter of the triangle DEF is 54 units.

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3 years ago