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Anna007 [38]
2 years ago
14

What are equivalent statements to a + 3 = 18 and 4 ∙ b = 32?

Mathematics
1 answer:
rosijanka [135]2 years ago
5 0

Answer:

a=18-3 and b=32÷8

Step-by-step explanation:

the first one

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The blue dot is what value on the number line
Anastaziya [24]
8 and 12 are separated by 1 line, and they have a difference of 4 units, so..

count every two lines and add 4 units

this means that the blue dot is 20
5 0
3 years ago
Read 2 more answers
Is my answer correct? 10 points + brainleist!
Liono4ka [1.6K]

Answer:

your answer is incorrect.  The correct answer is  h=-13  and k=13 .

Step-by-step explanation:

If a quadratic function is f(x)=ax^2+bx+c and a>0, then minimum value of the function at point \left(-\dfrac{b}{2a},f(-\dfrac{b}{2a})\right).

The given function is

f(x)=x^2+bx+182

Here, a=1, b=b and c=182. So.

-\dfrac{b}{2a}=-\dfrac{b}{2(1)}=-\dfrac{b}{2}

Put x=-\dfrac{b}{2} in the given function to find the minimum value of the function.

f(-\dfrac{b}{2})=(-\dfrac{b}{2})^2+b(-\dfrac{b}{2})+182

We know that minimum value is 13. So,

13=\dfrac{b^2}{4}-\dfrac{b^2}{2}+182

13-182=-\dfrac{b^2}{4}

-169=-\dfrac{b^2}{4}

169\times 4=b^2

Taking square root on both sides.

13\times 2=b

b=26

The value of b is 26.

So, the given function is  

f(x)=x^2+26x+182

Now, add and subtract square of half of coefficient of x.

f(x)=x^2+26x+182+(13)^2-(13)^2

f(x)=(x^2+2(13)x+(13)^2)+182-169

f(x)=(x+13)^2+13

On comparing with f(x)=(x-h)^2+k, we get

h=-13

k=13

Therefore, your answer is incorrect.

8 0
3 years ago
Find the approximate side length of a square game board with an area of 105 in2.
aleksley [76]

Answer:

Rounded to the nearest inch: 10

Rounded to the nearest tenth: 10.2

Rounded to the nearest hundredth: 10.25

Step-by-step explanation:

To find the area of a square, we multiply the side length by itself, or in other words, SQUARE the side length!

A=s^2

We are given the area, so plugging that into our equation looks like this:

105=s^2

To eliminate the exponent, take the square root of both sides of the equation!

\sqrt{105}=s

From here, there are a few paths to take, depending on what your teacher is looking for. I will evaluate the approximate of the square root by finding the nearest perfect squares.

The nearest perfect square less than √105 is √100, and the nearest perfect square greater than √105 is √121.

105 is closer to 100 than to 121, so √105 is closer to √100.

√100 is equal to 10, so the √105 is approximately 10 inches!

Using a calculator to check:

\sqrt{105}=10.247 inches

8 0
1 year ago
Question in picture please answer!
lesantik [10]

The bottom one

Basically the question is what graph shows a number below or equal to -1

6 0
3 years ago
I need help please help m
Bond [772]

there are 10 numbers you want either a 4 or 7 ( 2 numbers)

 so probability is 2/10 which reduces to 1/5

5 0
3 years ago
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