Pls help I will give brainliest I need help with question#15

Given: x + 5 ≥ 10. Choose the graph of the solution set.

ivanzaharov [21]

Answer:

We'll want to end this one with x ≥ another value.

Step-by-step explanation:

So, subtract 5 from both sides.

x+5≥10

-5 -5

x≥5

So, x must be greater than or equal to 5.

4 0

3 years ago

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Find the slope (-3, -3) (-4,-8) please explain it please

ss7ja [257]

Answer:

y2-y1/x2-x1

Step-by-step explanation:

Get a line of which you want to know the slope. Make sure that the line is straight. Pick any two coordinates that the line goes through. Coordinates are the x and y points written as (x, y). Pick which point's coordinates are dominant in your equation.

Formula: Slope of a Straight Line: Point 1 is now Bert and Point 2 is now Ernie Look at the graph and note their X and Y values: (X Bert, Y Bert) and (X Ernie, Y Ernie) The slope formula is now: M = (Y Ernie - Y Bert) / (X Ernie - X Bert)

5 0

3 years ago

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A farmer owns a field with an area of 0.037 km2. The farmer buys another field with an area of 9600 m2. What is the total area o

Vlad1618 [11]

Answer:

0.0946km²

Step-by-step explanation

Area of the farmland owned = 0.037km²

Area of farm land bought = 9600m²

Convert m² to km²

1m² = 1e-6 km²

9600m² = 0.000001 * 9600

9600m² = 0.0576km²

Total area on km² = 0.037km²+0.0576km²

Total area on km² = 0.0946km²

5 0

3 years ago

What will be the value of

madreJ [45]

The expression as given doesn't make much sense. I think you're trying to describe an infinitely nested radical. We can express this recursively by

$\begin{cases}a_1=\sqrt{42}\\a_n=\sqrt{42+a_{n-1}}\end{cases}$

Then you want to know the value of

$\displaystyle\lim_{n\to\infty}a_n$

if it exists.

To show the limit exists and that $a_n$ converges to some limit, we can try showing that the sequence is bounded and monotonic.

Boundedness: It's true that $a_1=\sqrt{42}\le\sqrt{49}=7$ . Suppose $a_k\le 7$ . Then $a_{k+1}=\sqrt{42+a_k}\le\sqrt{42+7}=7$ . So by induction, $a_n$ is bounded above by 7 for all $n$ .

Monontonicity: We have $a_1=\sqrt{42}$ and $a_2=\sqrt{42+\sqrt{42}}$ . It should be quite clear that $a_2>a_1$ . Suppose $a_k>a_{k-1}$ . Then $a_{k+1}=\sqrt{42+a_k}>\sqrt{42+a_{k-1}}=a_k$ . So by induction, $a_n$ is monotonically increasing.

Then because $a_n$ is bounded above and strictly increasing, the limit exists. Call it $L$ . Now,

$\displaystyle\lim_{n\to\infty}a_n=\lim_{n\to\infty}a_{n-1}=L$

$\displaystyle\lim_{n\to\infty}a_n=\lim_{n\to\infty}\sqrt{42+a_{n-1}}=\sqrt{42+\lim_{n\to\infty}a_{n-1}}$

$\implies L=\sqrt{42+L}$

Solve for $L$ :

$L^2=42+L\implies L^2-L-42=(L-7)(L+6)=0\implies L=7$

We omit $L=-6$ because our analysis above showed that $L$ must be positive.

So the value of the infinitely nested radical is 7.

4 0

3 years ago

18. what is the midpoint of PQ P(-2, 2.5), Q(1.4, 4)

scoray [572]

Mid point of the points PQ is (₋0.3 , 3.25)

Given points are:

P(₋2 , 2.5)

Q(1.4 , 4)

midpoint of PQ = ?

A location in the middle of a line connecting two points is referred to as the midpoint. The midpoint of a line is located between the two reference points, which are its endpoints. The line that connects these two places is split in half equally at the halfway.

The midpoint calculation is the same as averaging two numbers. As a result, by adding any two integers together and dividing by two, you may find the midpoint between them.

Midpoint formula (x,y) = (x₁ ₊ x₂/2 , y₁ ₊ y₂/2)

we have two points:

P(₋2,2.5) = (x₁,y₁)

Q(1.4,4) = (x₂,y₂)

Midpoint = (₋2 ₊ 1.4/2 , 2.5₊4/2)

= (₋0.6/2 , 6.5/2)

= (₋0.3 , 3.25)

Hence we determined the midpoint of PQ as (₋0.3 , 3.25)

Learn more about coordinate geometry here:

brainly.com/question/7243416

#SPJ9

6 0

2 years ago