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4 years ago

7

Two numbers are unknown in the expression below.If the value of the expression is 98 what are the unknown numbers.

1 answer:

svetlana [45]4 years ago

7 0

try using 2 and 5.. 2x{[(12-3)x3]+(5x6)-8}=98

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Find all points on the x-axis that are 14 units from the point (6,-7) All points on the x-axis that are 14 units from the point

Maksim231197 [3]

Answer: $(6+7\sqrt{3},0)\text{ and }(6-7\sqrt{3},0)$ are the required points.

or (18.124,0) and ( -6.124,0) are the required points.

Step-by-step explanation:

Let (x,0) be the point on x -axis that are 14 units from the point (6,-7) .

Then by distance formula , we have

$\sqrt{(x-6)^2+(0-(-7))^2}=14\ \ \ [\ \because distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}]$

Taking square on both the sides , we get

$(x-6)^2+7^2=14^2\\\\\Rightarrow\ x^2+6^2-2(6)x+49=196\\\\\Rightarrow\ x^2+36-12x=147\\\\\Rightarrow\ x^2-12x=111\\\\\Rightarrow\ x^2-12x-111=0$

Using quadratic formula : $x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}$

$x=\dfrac{12\pm\sqrt{(-12)^2-4(1)(-111)}}{2}\\\\\Rightarrow\ x=\dfrac{12\pm\sqrt{144+444}}{2}\\\\\Rightarrow\ x=\dfrac{12\pm\sqrt{588}}{2}\\\\\Rightarrow\ x=\dfrac{12\pm\sqrt{2^2\times7^2\times3}}{2}\\\\\Rightarrow\ x=\dfrac{12\pm14\sqrt{3}}{2}\\\\\Rightarrow\ x=6\pm7\sqrt{3}$

so, $(6+7\sqrt{3},0)\text{ and }(6-7\sqrt{3},0)$ are the required points.

since $\sqrt{3}=1.732$

so, $(6+7(1.732),0)\text{ and }(6-7(1.732),0)$ are the required points.

i.e. (18.124,0) and ( -6.124,0) are the required points.

3 0

3 years ago

Prove the following equation has no solutions.<br><br> 13t+6=12+13t

Alex73 [517]

13t-13t=0
so your left with
6=12
which is a false statement which makes this equation have no solutions

8 0

3 years ago

Leila is buying a dinosaur model. The price of the model is xxx dollars, and she also has to pay a 7\%7%7, percent tax.

padilas [110]

The expressions that could represent how much Leila pays in total for the model

\dfrac{107}{100}x

100 107 Option A is correct.

This is further explained below.

<h3>Which of the following expressions could represent how much Leila pays in total for the model?</h3>

The price of the model is x

Now we are given that she also has to pay a 7 tax.

Amount of tax =7 % x

$=\frac{7}{100} x$

the Total cost $=x+\frac{7}{100} x$

$=\frac{107}{100} x$

In conclusion, the statement might signify Leila's overall cost for the model. $\frac{107}{100} x$

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2 years ago

A recipe uses 8 cups of milk for every 3 cups of oatmeal.

vampirchik [111]

If you divide 8 by three and you'd get 26 but the 6 keep reapeting

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3 years ago

Which expression is equivalent to -16 - 7?

lakkis [162]

Step-by-step explanation:

B. -16 + (-7) ...this is the same as -16-7

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3 years ago