How can solve this problem ​

Answer:

positive

Step-by-step explanation:

negative slopes go from right to left; this line goes from left to right

0; the line isn't completely horizontal

undefined; the line isn't completely vertical

Point E is exterior to APD

Answer:

Angle APE is exterior to APD

because it's outside angle APD

Answer:

sec y

Step-by-step explanation:z

Answer:

D. Zero product of multiplication

Step-by-step explanation:

The given equation is presented as follows;

Given: x² + 6·x + 8 = 0

By factorization, to find numbers represented by variables, 'a' and 'b', such that  a + b = 6 and a×b = 8, we have, a = 2, and b = 8 as a possible solution by observation

Step 1: (x + 2)·(x + 4) = 0

Given that (x + 2) × (x + 4) = 0, we have

Step 2: x + 2 = 0 or x + 4 = 0, by zero product of multiplication

The zero-product property states that the when two non zero numbers are multiplied, the result is nonzero

Therefore, when two numbers are multiplied, and have a result of zero, for example, i × j = 0, then, either, i = 0, or j = 0

By the zero-product rule, either, (x + 2) = 0, or (x + 4) = 0

Therefore, we have;

Therefore;

Step 3: x = -2 or x = -4

The property of real numbers Felipe's use for step 2 is the Zero product of multiplication.

Answer:

ok lets turn this into a equation

x=4(10-2)

x=4(8)

X=32

so josh will spend 32 dollars on his team mates

Your Welcome

BIFFY OUT!!!

Answer:

The expression is 4(10 - 2).

Josh will spend $32

Step-by-step explanation:

Hope It HEPLS :D

Yes, the relation shown is a function because every element in the domain has only one distinct image in the co-domain.

Answer:

ans: option 1st

Step-by-step explanation:

in similar triangle, corresponding sides are proportional to each other

Answer:

8/24

Step-by-step explanation:

8/24 = 1/3 = 0.33333333...

Answer: $1640

Step-by-step explanation:

Since the salesperson's commission rate is 4%, therefore the commission from the sale of $41,000 worth of furnaces will be calculated as follows:

= 4% × $41000

= 4/100 × $41000

= 0.04 × $41000

= $1640

Therefore, the commission is $1640.

Answer:

x=3

Step-by-step explanation:

6x+18=0

Subtract 18

6x=18

Divide by 6

x=3

Hope I helped, have a nice day :)

Answer:

y=5/4x-5

Step-by-step explanation:

Hi there!

The equation of the line is typically written as y=mx+b, where m is the slope and b is the y intercept

Perpendicular lines have slopes that are negative and reciprocal. If they are multiplied together, the result is -1

So let's find the slope of the perpendicular line with this formula:

-4/5m=-1

multiply both sides by -5/4 (we need to isolate m onto one side, and -4/5*-5/4=1)

m=5/4

So the slope of the new line is 5/4

Here's the equation so far:

y=5/4x+b

now we need to find b

Because the equation of the line passes through (0,-5), we can use it to solve for b

substitute 0 as x and -5 as y

-5=5/4(0)+b

-5=0+b

-5=b

Therefore the equation of the line is:

y=5/4x-5

Hope this helps!

Answer:

x + 3 7/10

Step-by-step explanation:

X represents the unknown number

Answer:

9 Feet

Step-by-step explanation:

Inches: 108

Feet: 9

Divide the length value by 12

Answer:

For sure the third one. I think the 1st one too.

Happy learning!

Answer:

The first and the third one. The second and the fourth one are incorrect because y is increasing fast while x is increasing slowly. I know this because the graph is steeper. If we assume that the x-axis represents time then more is being done in less time and that is not proportional. In a proportional graph, as x will increase a little bit, so will y.  Hope this helps :)

Answer:

Solution given:

the equation of a circle is:

x²+y²-6x-2y+4=0

x²-2*x*3+3²+y²-2y+1²-1²+4=0

(x-3)²+(y-1)²=9+1-4

(x-3)²+(y-1)²=6

comparing above equation with

(a-h)²+(y-k)²=r²

we get

centre (h,k)=(3,1)

radius=√6

option first

(3,1), r = √6 is a required answer.

Answer:

(3,1), r = √6 is a required answer.

Step-by-step explanation:

Answer:

The answer is C because 14 - 3 = 11 x 2 = 22

Answer:

C

Step-by-step explanation:

Knowing x=14, we will substitute 14 when we see x.

In the equation 2(x-3) =22, when we substitute 14 for x we get 2(14-3)=22

Following PEMDAS, we do what's in the parenthesis first. 14 minus 3 gives us 11 and multiplying that by 2 will give us 22.

22=22 is true and therefore, C is your correct option.

Answer:

D

Step-by-step explanation:

try D. if that isnt it try C. not too sure

Answer:

0.91

Step-by-step explanation:

The scatterplot shows a strong positive correlation which almost forms a perfect line.

The most appropriate correlation would be 0.91.

If the correlation was 0.21 then the plots would be more scattered.

Hope this helps you.

Answer:

3.167 liters

Step-by-step explanation:

1 liter = 1,000 milliliters

3,167 milliliters * 1liter/1,000milliliters = 3.167 liters

Answer:

[tex]{ \tt{f(x) = 400 - 15x}} \\ { \boxed{ \tt{when \: f(x )\: is \: 50}}} \\ 400 - 15x = 50 \\ 15x = 400 - 50 \\ 15x = 350 \\ x = 23.3 \approx23 \: buckets \\ \\ { \underline{ \blue{ \tt{becker \: jnr}}}}[/tex]

Answer:

B and C

Step-by-step explanation:

Answer:

b=57° (vertically opposite angles)

Step-by-step explanation:

57°+a+b+c=360° (angles around a point)

57°+57°+a+c=360°

114°+a+c=360°

a+c=360°-114°=246°

a=c (vertically opposite angles)

therefore 2a=246°

a=123°

b=123°

Answer:

4 ounces

Step-by-step explanation:

If you divide 228 by 8, you will get 28.5. The 0.5 into a fraction would be 1/2. Half of 8 would be 4. In the end, there should be 28 full 8-ounce cups and one cup with 4 ounces.

Answer:

28, 44, 22

Step-by-step explanation:

a+b+c = 94

2×c = b

a = c+6

=>

c+6 + 2×c + c = 94

4×c + 6 = 94

4×c = 88

c = 22

=>

b = 2×22 = 44

a = 22 + 6 = 28

Answer:

100/101 these will be the answer when we go according to the steps

Answer:

Step-by-step explanation:

The x intercepts are 0 and

1000 - 2x = 0              given condition

1000 = 2x                   Divide by 2

500 = x

So the two intercepts are 0,0 and 500,0

The intercepts mean that for (0,0) the phone company hasn't charged anything, yet. For 500,0 the phone company can sell a single phone -- not when they cost 500 dollars apiece.

The answer to the B part is completing the square.

r(x) = - 2x^2 + 1000x

r(x) = -2(x^2 - 500x )

1/2 ( 500) = 250

250^2 is what you put inside the bracket's to complete the square.

r(x) =  - 2(x^2 - 500x + 250^2) + 2*250^2

r(x) = -2(x - 250)^2 + 2*62500

r(x) = - 2(x - 250)^2 + 125000

They should sell their phones at 250 dollars a piece. The total revenue is 125000. Your graph shows exactly the same thing.

Answer:

Step-by-step explanation:

ab/c

substitute the vale of a,b and c

=5*6/3

=30/3

=10

Answer:

10

Step-by-step explanation:

Given

[tex]\frac{ab}{c}[/tex] ← substitute the given values into the expression

[tex]\frac{5(6)}{3}[/tex] = [tex]\frac{30}{3}[/tex] = 10

9514 1404 393

Answer:

Step-by-step explanation:

The perimeter is the sum of the side lengths. Those that are unmarked are assumed to match the length of the nearest parallel side.

Clockwise from upper left, the perimeter is ...

  P = 8 + 5 + 4 + 4.5 + 15 + 5.6 + 4 + 5

  P = 51.5 . . . feet

__

The area can be figured using the formulas for area of a parallelogram, rectangle, and trapezoid. These are, respectively, ...

parallelogram area = (8 ft)(3 ft) = 24 ft²

rectangle area = (8 ft)(4 f) = 32 ft²

trapezoid area = (1/2)(8 ft +15 ft)(4 ft) = 46 ft²

Then the total area of the figure is ...

  A = 24 ft² +32 ft² +46 ft²

  A = 102 ft²

_____

Additional comment

The figure shown is impossible. The trapezoid side lengths and height are consistent with a bottom base of length 14, not 15.