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4 years ago

How do you add single digit numbers

2 answers:

6 0

Hi there!

This question isn't too hard.

To add with single digit numbers you just need to count.

You can regroup too, depending on what numbers you're using. I can give you some examples if you'd like!

1 + 2 = 3 because you need to just count. If I have one apple and you have two, count to see how many apples we have altogether. In this case, we have three apples.

What about 9 + 9? You would regroup because our answer is bigger than ten. If I have nine pennies and you have nine pennies, and we put them all together you'd have 18. Just count like before ^

Hope this helps!

Solnce55 [7]4 years ago

5 0

Often with regrouping of 2 numbers then counting them once all together

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Find an equation of the sphere with center (−2, 3, 7) and radius 7.What is the intersection of this sphere with the yz-plane?

masya89 [10]

Answer:

The equation of the sphere with center (-2, 3, 7) and radius 7 is $(x+2)^{2}+(y-3)^{2}+(z-7)^{2} = 49$ .

The intersection of the sphere with the yz-plane is $(y-3)^{2}+(z-7)^{2} = 49$ .

Step-by-step explanation:

We know that any sphere can be represented by the following equation:

$(x-h)^{2}+(y-k)^{2}+(z-s)^{2} = r^{2}$

Where:

$h$ , $k$ , $s$ - Coordinates of the center of the sphere, dimensionless.

$r$ - Radius of the sphere, dimensionless.

If $(h,k, s) = (-2,3,7)$ and $r = 7$ , we obtain this expression:

$(x+2)^{2}+(y-3)^{2}+(z-7)^{2} = 49$

The intersection of the sphere with the yz-plane observe the following conditions:

$x = 0$ , $y \in \mathbb {R}$ , $z\in \mathbb{R}$

Hence, the expression above can be reduced into this:

$(y-3)^{2}+(z-7)^{2} = 49$

6 0

3 years ago

The width of a rectangle is the length minus 3 units. The area of the rectangle is 40 units. What is the width, in units, of the

marusya05 [52]

Width of the rectangle is 5 units

<u>Explanation:</u>

Let length (l) = l units

Given,

width (b) = l-3 units

Area of rectangle = 40 units

We know,

Area of rectangle = l X b

$40= l(l-3)\\40=l^{2} - 3l\\l^{2} - 3l -40=0\\l=8units$

If l = 8 units then, b = 8-3 units

b = 5 units

Therefore, width of the rectangle is 5 units.

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3 years ago

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If it has to be perpedicular to y = x, then the slope has to be -1/x because perpedicular slope is the opposite reciprocal. Now plug what you know into the point slope formula.

y - 2 = -1/1 (x - 4)

***** Since -1/1 is the same as -1, it can be rewritten as -1. ****************

y - 2 = -1 (x - 4)

Now distribute -1 times x and -4.

y - 2 = -x + 4

Add 2 to both sides to get y by itself.

y = -x + 2

Your answer should be:

y = -x + 2

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