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3 years ago

13

What is (34-23)+5? answer

1 answer:

attashe74 [19]3 years ago

6 0

Answer:

The answer is 16

Step-by-step explanation:

34-23=11 then 11+5 = 16

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What is the equation of the quadratic graph with a focus of (8, −8) and a directrix of y = −6?

yarga [219]

The vertex is exactly half way between directrix and focus. In this case the vertex is (8,-7)
(h,k)

P is the distance between the vertex and either the directrix or focus, in this case p = 1.

a = 1/(4p) or 1/(4*1) or 1/4

write the equation in vertex form

y = a(x-h)^2 + k

y = 1/4(x-8)^2 -7

4 0

3 years ago

What are the approximate values of the non-integral roots of the polynomial equation?

irga5000 [103]

Answer:

-4, -2, -3-2i, -3+2i

Step-by-step explanation:

The of the polynomial equation are those values of x, for which f(x)=0.

Consider equation

$f(x)=0\\ \\(x^2+6x+8)(x^2+6x+13)=0$

By zero product property,

$x^2+6x+8=0\ \text{or}\ x^2+6x+13=0$

Solve each equation:

1. $x^2+6x+8=0$

$D=6^2-4\cdot 8=36-32=4\\ \\x_{1,2}=\dfrac{-6\pm \sqrt{4}}{2}=\dfrac{-6\pm 2}{2}=-4,\ -2$

2. $x^2+6x+13=0$

$D=6^2-4\cdot 13=36-52=-16=16i^2\\ \\x_{1,2}=\dfrac{-6\pm \sqrt{16i^2}}{2}=\dfrac{-6\pm 4i}{2}=-3-2i,\ -3+2i$

5 0

3 years ago

Read 2 more answers

How much smaller is the sum of the first 1000 natural numbers than the sum of the first 1001 natural numbers?

aleksandr82 [10.1K]

ANSWER

1001

EXPLANATION

The sum of the first n - natural numbers is

$S_n= \frac{n}{2} (2a + d(n - 1))$

The sum of the first 1000 terms is

$S_{1000}= \frac{1000}{2} (2(1) + 1(1000 - 1))$

$S_{1000}=500 (1001)$

$S_{1000}=500500$

The sum of the first 1001 terms is

$S_{1001}= \frac{1001}{2} (2(1) + 1(1001 - 1))$

$S_{1001}= 1001 \times (501)$

$= 501501$

The difference is

$501501 - 500500= 1001$

5 0

3 years ago

Read 2 more answers

What is 6,010,499,999 rounded to the nearest billion?

aleksandr82 [10.1K]

Answer:

6000000000

Step-by-step explanation:

Given the following question:

$6,010,499,999$

<u>Find the billions place value:
</u>

$billions=6$

<u>Round to the nearest billion:</u>
$6,010,499,999$
$0$
$6000000000$

Your answer is "6000000000."

Hope this helps.

3 0

2 years ago

The table shows the ratio between the number of books ordered and their cost: Number of Books Cost (dollars) 7 21 8 24 9 27 Find

statuscvo [17]

Answer:

(1, 3), (2, 6), (3, 9)

Step-by-step explanation:

Dividing the first given ratio by 7 gives ...

7/7 : 21/7 = 1 : 3

Multiplying this by 2 and 3 gives the other ratios you want.

= 2(1) : 2(3) = 2 : 6

= 3(1) : 3(3) = 3 : 9

The equivalent ratios are (1, 3), (2, 6), (3, 9).

5 0

2 years ago