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3 years ago

Given N is between M and P. If MP = 15 and MN = 6, determine NP

Mathematics

1 answer:

cluponka [151]3 years ago

4 0

Answer:

NP= 9

Step-by-step explanation:

MP = 15

MN = 6

Let NP be x

MN+NP=MP

6+x=15

x=15-6

x=9

The value of NP is 9

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4 x 10^6 is how many times large then 1 x 10^4

Molodets [167]

Answer:

Step-by-step explanation:

$4\times10^6\text{ is how many times large than}\ 1 \times 10^4?\\\\\dfrac{4\times10^6}{1\times10^4}=\dfrac{4}{1}\times\dfrac{10^6}{10^4}=4\times10^{6-4}=4\times10^2=4\times100=400$

4 0

3 years ago

Round to the nearest whole number <br> 863.406

Elan Coil [88]

I wouold be 700 possibl

6 0

3 years ago

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Give the properties for the equation -2x 2 - y + 10x - 7 = 0.

Sladkaya [172]

Given:

The quadratic equation is

$-2x^2-y+10x-7=0$

To find:

The vertex of the given quadratic equation.

Solution:

If a quadratic function is $f(x)=ax^2+bx+c$ , then

$Vertex=\left(\dfrac{-b}{2a},f(\dfrac{-b}{2a})\right)$

We have,

$-2x^2-y+10x-7=0$

It can be written as

$-2x^2+10x-7=y$

$y=-2x^2+10x-7$ ...(i)

Here, $a=-2,b=10,c=-7$ .

$\dfrac{-b}{2a}=\dfrac{-10}{2(-2)}$

$\dfrac{-b}{2a}=\dfrac{-10}{-4}$

$\dfrac{-b}{2a}=\dfrac{5}{2}$

Putting $x=\dfrac{5}{2}$ in (i), we get

$y=-2(\dfrac{5}{2})^2+10(\dfrac{5}{2})-7$

$y=-2(\dfrac{25}{4})+\dfrac{50}{2}-7$

$y=\dfrac{-50}{4}+25-7$

$y=\dfrac{-25}{2}+18$

On further simplification, we get

$y=\dfrac{-25+36}{2}$

$y=\dfrac{11}{2}$

So, the vertex of the given quadratic equation is $\left(\dfrac{5}{2},\dfrac{11}{2}\right)$ .

Therefore, the correct option is A.

3 0

3 years ago

Could some one plz help me with this question

zhuklara [117]

Answer:

Step-by-step explanation:

The formula for this type of interest is $A=P(1+\frac{r}{n})^{nt}$ , where A is the total amount, P is the initial investment, x is the interest rate, n is the amount of times that the investment is compounded a year, and t is the amount of years. Plugging in the numbers given, you get:

$A=1800(1+\frac{0.025}{2})^{2\cdot 12}=$

$1800(1.0125)^{24}\approx 2425.23$

Now, she invests this into a new account, and you can set up the following equation:

$A=2425.23(1+\frac{0.04}{12})^{12\cdot 7}=$

$2425.23(1.0033333)^{84}\approx 3207.40$ , or option A.

Hope this helps!

3 0

3 years ago

What is the area of this figure? Drag and drop the appropriate number into the box. A = cm² 108 135 189 318 A shape made up of a

Lyrx [107]

The square will have area
.. (9 cm)^2 = 81 cm^2.

The two triangles together will have area
.. (9 cm)*(12 cm) = 108 cm^2.

The sum of the areas of those three shapes is
.. 81 cm^2 +108 cm^2 = 189 cm^2

8 0

3 years ago

Read 2 more answers