Peter and Pam are both avid swimmers. Last week Pete swam twice as many hours s Pam. Together they swam a total of 18 hours. How many hours did each swim?

Step-by-step explanation:

An expression obtained from the square of a binomial equation is a perfect square trinomial. An expression is said to a perfect square trinomial if it takes the form ax2 + bx + c and satisfies the condition b2 = 4ac. The perfect square formula takes the following forms: (ax)2 + 2abx + b2 = (ax + b)

Answer:

x2 − 4x + 4

x2 + 10x + 25

Step-by-step explanation:

Answer:

$1.129

Step-by-step explanation:

Answer:

-5

Step-by-step explanation:

Plug the first equation into the expression

2y-1 = 2(-2) - 1 = -4 - 1 = -5

Answer:

-5

Step-by-step explanation:

2y - 1

2(-2) - 1

-4 - 5

-5

If a point in Quadrant IV is 4 units away from this point, the resulting point will be (-1.5+4, -2.5-4) which is (2.5, -6.5)

If we have a coordinate point (x, y) in quadrant 4, if the coordinate is 4 units away, the resulting coordinate will be expressed as (x+4, y - 4)

Given the point S(-1.5, -2.5) on the coordinate  the plane, if a point in  Quadrant IV is 4 units away from this point, the resulting point will be (-1.5+4, -2.5-4) which is (2.5, -6.5)

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Answer: 15 minutes

Step-by-step explanation:

60 / 4 = 15

15 * 3 = 45

45 / 3 = 15

Answer:

Step-by-step explanation:

Time spent on jump rope = 1/3 of 3/4

                                           [tex]= \dfrac{1}{3}*\dfrac{3}{4}=\dfrac{1}{4} \ hour[/tex] or 15 minutes

Answer:

k = 4

Step-by-step explanation:

Calculate the slope m using the slope formula, then equate to - 1

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 2, k ) and (x₂, y₂ ) = (2, 0 )

m = [tex]\frac{0-k}{2-(-2)}[/tex] = [tex]\frac{-k}{2+2}[/tex] = [tex]\frac{-k}{4}[/tex] , then

[tex]\frac{-k}{4}[/tex] = - 1 ( multiply both sides by 4 )

- k = - 4 ( multiply both sides by - 1 )

k = 4

Answer:

f(0) = 2, x = - 2, x = - 1

Step-by-step explanation:

f(0) means what is the value of y when x = 0

x = 0 is a point on the y- axis

Thus when x = 0 , y = 2 , that is

f(0) = 2

(b)

The roots are the values of x on the x- axis where the graph crosses

This occurs at x = - 2 and x = - 1 ← roots

Answer:

g(x) = 2|x|: vertical stretch by a factor of 2.

h(x) = ⅓|x|: vertical compression by a factor of ⅓.

w(x) = 4|x|: vertical stretch by a factor of 4.

Step-by-step explanation:

Given the graph of an absolute value parent function, f(x) = |x|:

Multiplying the parent function by a number, where a > 1 causes a vertical stretch by a factor of a.  

Hence, when a > 1, the graph is narrower than the parent function.

In the case of the function, g(x) = 2|x|, the graph represents a vertical stretch by a factor of 2.  When a vertical stretch occurs, the y-coordinates will be twice of what the y-coordinates of the parent function.  For instance, compare the y-coordinates of f(x) = |x| and g(x) = 2|x|  when x = 1.  

In the parent graph, f(x) = |x|: when x = 1, y = 1.

In g(x) = 2|x|, when x = 1, y = 2.

Multiplying the parent function by a number, where 0 < a < 1 causes a vertical compression by a factor of a.  

Hence, when 0 < a < 1 , the graph is wider than the parent function.    

In the case of the function, h(x) = ⅓|x|, the graph represents a vertical compression by a factor of ⅓.  When a vertical compression occurs, the y-coordinates will be ⅓ of what the y-coordinates of the parent function.

If you compare the y-coordinates of the parent function, f(x) = |x|, and h(x) = ⅓|x|,  when x = 1:

In the parent graph, f(x) = |x|: when x = 1, y = 1.

In h(x) = ⅓|x|:  when x = 1, y = ⅓.

Using the same techniques presented in the previous sections of this post, we could focus on comparing the difference between the y-coordinates of the parent graph, f(x) = |x|, and w(x) when x = 1.

In the parent graph, f(x) = |x|: when x = 1, y = 1.

In w(x) = a|x|,  when x = 1, y = 4.  

This shows that the graph is vertically stretched by a factor of 4, where the graph appears narrower than the parent function.

Therefore, the function that represents the given graph is w(x) = 4|x|.

Answer:

7.5

Step-by-step explanation:

You first have to switch the sides of the numbers. After you do that you multiply both sides by -0.5. Finally, you simplify and get 7.5

Brainliest pls?

Answer:

7.5

Step-by-step explanation:

You can multiply both sides by -0.5.

-15×-0.5=7.5

x=7.5

Hope that helps! :)

Answer:

A plot is a graphical technique for representing a data set, usually as a graph showing the relationship between two or more variables. The plot can be drawn by hand or by a computer. In the past, sometimes mechanical or electronic plotters were used.

Step-by-step explanation:

not the answer for that but ig this can help u mwa

Answer:

12.15-13.00 is 15 mins

13.00-13.30 is 30 mins

Answer-45 mins

Answer:

Undefined

Step-by-step explanation:

x=-4 is a vertical line (On a graph) so it would be undefined

Answer:

0 , 5

-1 , 1

-3

Step-by-step explanation:

Each row, column and diagonal adds up to 3 because of the column on the right.

The bottom row must add up to 3, so the blank there is -3.

The diagonal from the bottom left corner to the upper right corner also must add up to 3, so the blank in the middle is 1.

The column in the middle must add up to 3, so the blank at the top is 5.

The top row also must equal to 3, so the blank on the left is 0.

The left column also must equal to 3, so the last blank left is -1.

Answer:

b = 14 cm , h = 112 cm

Step-by-step explanation:

The area (A) of a triangle is calculated as

A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the height )

Given height is 8 times base , then h = 8b and A = 784 , then

[tex]\frac{1}{2}[/tex] × b × 8b = 784

b × 4b = 784

4b² = 784 ( divide both sides by 4 )

b² = 196 ( take square root of both sides )

b = [tex]\sqrt{196}[/tex] = 14

Then base b = 14 cm and height h = 8 × 14 = 112 cm

Answer:

6:30 A.M

Step-by-step explanation:

That's if you wanted it right at 2 after cooling for 30mins

Answer:

-3 > P

Step-by-step explanation:

1 > 3P + 10​

Subtract 10 from each side

1-10 > 3P + 10-10​

-9 > 3P

Divide each side by 3

-9/3 > 3P/3

-3 > P

Answer:

Step-by-step explanation:

(-16x+13)+(-20x+23)=180. I know that the sum of those two angles would equal 180, since they are supp.

x=-4

Then I would sub in -4 where I see a x

-16(-4)+13=77

-20(-4)+23=103

angle LMP = 77

angle NMP = 103

together = 180 so it's correct

Answer:

2/8ths are left

Step-by-step explanation:

8 equal.pieces means 8/8

she ate 1/8 and he ate 5/8

thats 6/8

8/8 - 6/8 = 2/8

Answer:

1

Step-by-step explanation:

i dunno maybe not sure

Answer:

shallow

Step-by-step explanation:

Answer:

she'll type 80 words.

Step-by-step explanation:

200/x=30/12

x=(200×12)/30=80

Answer:

the answer shows in the picture, sorry, I tried to type it but it would come out different.

Step-by-step explanation:

10,000 = 10x10x10x10 = 10 4. Notice that the exponent of the ten is simply the number of the zeros.

Hope this helped:)

The large number 10,000 written as a power of 10 as 10⁴.

The given large number is 10000.

Scientific notation is a method for expressing a given quantity as a number having significant digits necessary for a specified degree of accuracy, multiplied by 10 to the appropriate power such as 1.56×10⁷.

Here, the number 10000 can be written as 10⁴.

Therefore, the number 10,000 written as a power of 10 as 10⁴.

To learn more about the Scientific notation visit:

https://brainly.com/question/18073768.

#SPJ6

Answer:

8

Step-by-step explanation:

Answer:

  0

Step-by-step explanation:

The slope of D street on this graph is "undefined." A perpendicular will have a slope that is zero. That is, D is a vertical line on the map, so the perpendicular will be a horizontal line.

The slope of the new road should be zero.

Answer:     162.1875%. Based on the given conditions, formulate: 103.8 / 64 Convert decimal to fraction:dfrac 1038/10 64Div

Step-by-step explanation:

Answer:

multiplication property

The answer is Reflexive property

Answer:

Step-by-step explanation:

Answer:Having some trouble with this percentage word problem: The average attendance at Parma football club fell by 7% in 2015. If 2030 fewer people went to matches in 2015

Step-by-step explanation:

Answer:

3. 7

4. 22

Step-by-step explanation:

What divided by two equals 5? Ten! Then, what plus three equals 10? Seven!

17 + 5 (2 · 22 - 9) = (-6 · 22 + 10) +4 is true!

I hope that this helps!

Answer:

x = 7 and x = [tex]\frac{21}{8}[/tex]

Step-by-step explanation:

(3)

[tex]\frac{x+3}{2}[/tex] = 5 ( multiply both sides by 2 to clear the fraction )

x + 3 = 10 ( subtract 3 from both sides )

x = 7

-----------------------------------------------------------

(4)

17 + 5(2x - 9) = - 6x + 10 + 4 ← distribute parenthesis on left side and simplify

17 + 10x - 45 = - 6x + 14

10x - 28 = - 6x + 14 ( add 6x to both sides )

16x - 28 = 14 ( add 28 to both sides )

16x = 42 ( divide both sides by 16 )

x = [tex]\frac{42}{16}[/tex] = [tex]\frac{21}{8}[/tex]

Answer:

Simplify:

[tex]\frac{( {x}^{2} + 6x + 9) }{x - 3} [/tex]

Factoring:

[tex] {x}^{2} + 6x + 9[/tex]

The first term is, x2 its coefficient is 1 .

The middle term is, +6x its coefficient is 6 .

The last term, "the constant", is +9

Step-1 : Multiply the coefficient of the first term by the constant 1 • 9 = 9

Step-2 : Find two factors of 9 whose sum equals the coefficient of the middle term, which is 6 .

-9 + -1 = -10

-3 + -3 = -6

-1 + -9 = -10

1 + 9 = 10

3 + 3 = 6 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, 3 and 3

[tex] {x}^{2} + 3x + 3x + 9[/tex]

Step-4 : Add up the first 2 terms, pulling out like factors :

x • (x+3)

Add up the last 2 terms, pulling out common factors :

3 • (x+3)

Step-5 : Add up the four terms of step 4 :

(x+3) • (x+3)

Which is the desired factorization.

Multiply (x+3) by (x+3)

The rule says : To multiply exponential expressions which have the same base, add up their exponents.

In our case, the common base is (x+3) and the exponents are :

1 , as (x+3) is the same number as [tex](x+3) {}^{1}[/tex]

and 1 , as (x+3) is the same number as[tex](x + 3) {}^{1} [/tex]

The product is therefore, [tex](x + 3) {}^{(1 + 1)} = (x + 3) {}^{2} [/tex]