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3 years ago

What is the solution of the equation X + 5 = -9?

Mathematics

1 answer:

kirill115 [55]3 years ago

7 0

Answer:

-14

Step-by-step explanation:

We must isolate x by itself for solve for its value. To do so, we must subtract 5 on left side. What we do to one side, we do to the other side, so we subtract 5 from right as well. However, on right side, two negatives means we actually end up adding (and keeping the negative sign) and thus you get -14.

X + 5 - 5 = -9 -5

X = -14

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The figure shows a circle circumscribed around a triangle. what is constructed first when creating the circle?

vampirchik [111]

Answer:

Option B is right

Step-by-step explanation:

We have in a triangle there are some properties inherent.

One is the perpendicular bisectors of all sides are concurrent.

These three concur at a point called the circumcentre of the triangle.

When we draw perpendicular bisector for a side AB, we get that all points on the perpendicular bisector are equidistance from A and B.

When we take the point of intersection of perpendicular bisector of AB and BC, we have the intersecting point S(say) is equidistant from A and B and also from B and C

In short this is equidistant from all 3 vertices and hence is centre of circumcicle of triangle ABC

5 0

3 years ago

Read 2 more answers

Suppose the demand for a certain item is given by:

Marysya12 [62]

Answer:

a. D'(p) = -10p - 6

b. There is a decrease of 96 units of demand for each dollar increase

Step-by-step explanation:

The demand function is:

$D(p) = - 5p^2-6p+400$

(a) The derivate of the demand function with respect to price gives us the rate of change of demand:

$\frac{dD(p)}{dp}=D'(p) = -10p-6$

(b) When p = $9, the rate of change of demand is:

$D'(9) = -10*9-6\\D'(9) = -96\ \frac{units}{\$}$

This means that, when p = $9, there is a decrease of 96 units of demand for each dollar increase.

6 0

3 years ago

A family uses 12,986. 64 Swiss francs per year to pay a mortgage that requires US dollars. Approximately how much, in US dollars

lukranit [14]

Unit conversion is a way of converting some common units into another without changing their real value. The amount that is paid by the family in mortgage per month is equal to $1200.

<h3>What is Units conversion?</h3>

Unit conversion is a way of converting some common units into another without changing their real value. for, example, 1 centimetre is equal to 10 mm, though the real measurement is still the same the units and numerical values have been changed.

As it is given to us that the family uses 12,986.64 Swiss francs per year to pay a mortgage. Therefore, the amount that is paid by the family in mortgage per month can be written as,

$\text{Mortgage for a month} = \dfrac{\text{Mortgage of the family for a complete year}}{\text{Number of Months}}\\\\\\\text{Mortgage for a month} = \dfrac{\rm 12,986.64\ Swiss\ francs}{12} = 1082.22\rm \ Swiss\ francs$

Thus, the family needs to pay 1082.22 swiss francs every month in the mortgage.

Now, it is mentioned in the problem that 1 Swiss franc = 1.11 US dollars, therefore, 1082.22 swiss francs when converted to US dollars will be equal to,

$\rm 1\ Swiss\ francs = \$1.11 \\\\1082.22\ Swiss\ francs = 1082.22 \times 1.11 = \$1,201.26 \approx \$1,200$

Hence, the amount that is paid by the family in mortgage per month is equal to $1200.

Learn more about Units conversion:

brainly.com/question/4736731

8 0

3 years ago

What is the slope-intercept equation for the line below

Scilla [17]

Answer:

Step-by-step explanation:

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6 0

3 years ago

F(x)=x^2+9<br> g(x)=x-9<br> find f(x)-g(x)

ololo11 [35]

Answer:

x^2 - x + 18

Step-by-step explanation:

f(x) = x^2+9

g(x) = x-9

Therefore f(x)-g(x),

= x^2 + 9 - (x - 9)

= x^2 + 9 - x +9

<h2>= x^2 - x + 18</h2><h2 /><h2 /><h2><u><em>PLEASE MARK MY ANSWER AS BRAINLIEST!!!!!</em></u></h2>

7 0

3 years ago