Given \(\triangle DEF\ :\ \triangle RST\), find the scale factor.

Answer:

None of them. The proper expression(s) to split the debt are:

5400 / 8

or

8x=5400

Answer: Lower-right corner  [tex]3^7 \times \frac{1}{3^4}[/tex]

Explanation:

We use the rule that

[tex]a^{-b} = \frac{1}{a^b}[/tex]

The negative exponent tells us to apply the reciprocal if we want the exponent to be positive.

In this case, a = 3 and b = 4

So,

[tex]a^{-b} = \frac{1}{a^b}\\\\3^{-4} = \frac{1}{3^4}[/tex]

which is why overall,

[tex]3^7\times 3^{-4} = 3^7 \times \frac{1}{3^4}[/tex]

Answer:

-120

Step-by-step explanation:

-30

but you have -30 -30 -30

what if we add it to make -90

then we have -30

same thing if you forgot to put + like

-30 + -30 + -30 + 30

still would be -120

Answer:

it 10 23/58

Step-by-step explanation:

i need to learn more and pay attention

Answer:

70 inches cubed

Step-by-step explanation:

5 times 7 times 2 gives you the volume.

Answer:

-4 is the slope

Step-by-step explanation:

Because the line is going downwards that makes it a negative and if you count the boxes rise over run. You look for the point where the line meets a box perfectly and then you count the boxes down which is 4 and across which is one which makes it -4/1. So the slope is -4.

Answer:

-2

Step-by-step explanation:

you answer the brackets first then add 9 then add 8

Answer:

-55

Step-by-step explanation:

7x-6y=2

-2x-y=3

by substitution method

y=3+2x

7x-6(3+2x)=2

7x-18-12x=2

-5x=20

x=-4

-2(-4)-y=3

8-y=3

-y=3-8

y=5

therefore the value of x=4 and that of y=5

5x-7y=5(-4)-7(5)

=-20-35

=-55

Answer:

(7 x 100) + (4 x 100 ) + (8 x 1,000)

=700+400+8000

=1100+8000

Answer:

24 times

Step-by-step explanation:

75% = 0.75, so then you just do 0.75 * 32 = 24

Answer:

For this question, multiply 75% or 0.75 with 32. The result would be 24. So, Augie has hit the baseball 24 times.

Answer:

x=5, y=3

Explanation:

Solve for the first variable in one of the equations, then substitute the result into the other equation.

Step-by-step explanation:

x=5 y=3 that is it that guy was right

Answer:

10

Step-by-step explanation:

2pi(5) is 31.42.

31.42/pi gets you exactly 10pi meters.

Answer: x<225/4

Step-by-step explanation: hope this help

Question:

Solve the equation 2x2−5x+3=0 by the method of completing square.

Answer:

We have,

2x2−5x+3=0

⇒x2−25x+23=0 (Dividing throughough by 2)

⇒x2−25x=−23 (Shifting the constant term on RHS)

⇒x2−2(45)x+(45)2=(45)2−23 (Adding (21Coeff.ofx)2 onboth sides)

⇒(x−45)2=1625−23⇒(x−45)2=16

Answer:

Step-by-step explanation:

we will add like terms

-2x-2<8

we will add 2 on both sides

-2x<10

divide by 2

-x<5

multiply by -1

x>-5

Answer:

reee

Step-by-step explanation:

skreeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee

Answer:

105

Step-by-step explanation:

15×3

45

35×3=105

Answer:

10

Step-by-step explanation:

When u cross multiply

[tex]5 \div x = 3 \div6[/tex]

= 3x=30(5*6)

= x=30/3

=x=10

Answer:

Write the system of equations with 2 unknowns x and y denoting the prices of two types of chickens:

(1) 120x + 200y = 2150

(2) 100x + 300y = 2625

Solving the system of equations above we have 2 solutions:

x = 15/2 = $ 7.5 and y = 25/4 = $ 6.25

Step-by-step explanation:

Answer:

10.15 is 29% of 35.

Step-by-step explanation:

Answer: Part A.  B origin    Part B. C(0,0)

Step-by-step explanation:

In a coordinate plane, there are two axes

1) x-axis which is the horizontal axis.

2) y-axis which is the vertical axis.

The intersection of both the axes is known as the origin whose coordiantes are (0,0), i.e. at this point value of x =0 and value of y =0.

Part A: The ordered pair that represents the intersection of the x-axis and y-axis is called the origin.

Part B: The coordinate. Part B the coordinates of the origin are (0,0).

Answer:

A 1,1

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

The answer is  11

Step-by-step explanation:

Answer:

42.5m/s

Step-by-step explanation:

Divide by 40

Answer:

390 miles

Step-by-step explanation:

(45 x 4) + (35 x 6) = 390 miles

Given:

Increase 386.3 by  4%.

To find:

The value for given statement.

Solution:

We have,

Initial value = 386.3

Increasing rate = 4%

The increased value is

[tex]\text{New value}=\text{Initial value + Increasing rate }\times \text{Initial value}[/tex]

[tex]\text{New value}=386.3+\dfrac{4}{100}\times 386.3[/tex]

[tex]\text{New value}=386.3+15.452 [/tex]

[tex]\text{New value}=401.752[/tex]

Therefore, the required value is 401.752.

Answer:

The answer is below

Step-by-step explanation:

A parabola is the locus of a point such that its distance from a given line (directrix) and a fixed point (focus) is always the same.

The equation of a parabola with a horizontal line as directrix is given by:

(x - h)² = 4p(y - k)

where y = k - p is the directrix and the focus = (h, k + p)

Given that parabola has a directrix at y = 2 and a focus at (5, 0)

Therefore:

y = k - p

k - p = 2          (1)

focus = (h, k + p) = (5, 0)

h = 5, k + p = 0

k + p = 0         (2)

Solve equation 1 and 2 simultaneously by adding both equations together:

2k = 2

k = 1

Substitute k = 1 in k + p = 0 to find p:

1 + p = 0

p = -1

Therefore h = 5, p = -1 and k = 1

Substitute the values of h, k and p into the equation of a parabola:

(x - h)² = 4p(y - k)

(x - 5)² = 4(-1)(y - 1)

(x - 5)² = -4(y - 1)

x² - 10x + 25 = -4y + 4

-4y = x² - 10x + 21

4y = 10x - x² - 21

Answer:

1. s=43

2. s=148

3. s=137

Step-by-step explanation: