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3 years ago

Which properties justify the steps taken to solve the system 4x + 3y =25 2x + 5y=19

Mathematics

1 answer:

defon3 years ago

7 0

Answer: we multiply the second equation by -2. This property is the multiplication property of equality (1).

Then, we add the two equations generated. (2) addition property of inequality.

Next, we divide both sides of the equation by 13. That is division property of inequality.

Moreover, we substitute the value obtained for y in the first equation. This is substitution property of equality.

Then, we simplify

Next, we add +3 to both sides of the equation in order to have an equation with only one side having a variable. That is addition property of equality.

Lastly, we divide both sides of the equation by 4. This is division property of equality.

Step-by-step explanation:

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Chantel drew a picture of her dog on a piece of paper that is 12 centimeters long. She used a copy machine to enlarge her drawin

Georgia [21]

Answer:

a(n)=1.15[a(n-1)]

Step-by-step explanation:

we know that

$115\%=115/100=1.15$

Let

a0 -----> the length of the original copy

The first copy is equal to

a1=1.15(a0)

The second copy is

a2=1.15[1.15(a0)] or a2=1.15[a1]

The third copy is

a3=1.15{1.15[1.15(a0)]} or a3=1.15[a2]

therefore

A recursive formula will be

a(n)=1.15[a(n-1)]

3 0

3 years ago

Evaluate f(7) * f (x) = –2x² + 4

Firdavs [7]

Input 7 for every x so
f(7) = -2 (7)^2 +4
f(7) = -2(49) +4
f(7) = -98 +4
f(7) = -94

6 0

3 years ago

Read 2 more answers

Create a question like

vovikov84 [41]

Answer:

x = (+ - ) 9

Step-by-step explanation:

x^2 = 81

u know how u can sometimes cancel something out by doing the opposite.

This is one of those times as well. the opposite of ^2 = square root.

so if we take the square root of both sides, this will cancel out the^2 on the left side.

sqrt (x^2) = sqrt(81)

x = (+-) 9.....thats a positive and a negative sign...because the sqrt of 81 is both 9 and -9.

3 0

3 years ago

The landing for the steps leading up to a county courthouse is shaped like a trapezoid. The area of the landing is 1500 square f

77julia77 [94]

Answer:

The length of the longer base is 80 feet.

Step-by-step explanation:

We are given that county courthouse is shaped like a trapezoid.

Let the height of the court house be h

Since we are given that The shorter base of the trapezoid is 15 feet longer than the height.

So, the shorter base = h+15

We are also given that The longer base is 5 feet longer than 3 times the height

So, longer Base = 3h+5

Now we are also given that the area of the landing is 1500 square feet.

Formula of area of trapezium :

= $\frac{1}{2} *(\text{Length of longer base}+\text{Length of shorter base})*height$

Substituting the values .

$1500=\frac{1}{2} *(h+15+3h+5)*h$

$1500=\frac{1}{2} *(4h+20)*h$

$1500*2=(4h+20)*h$

$3000=4h^2+20h$

Taking 4 common from the equation.

$750=h^2+5h$

$h^2+5h-750=0$

$h^2-25h+30h-750=0$

$h(h-25)+30(h-25)=0$

$(h-25)(h+30)=0$

⇒ h = 25, -30

Neglect the negative value .

So, height = 25 feet.

Length of Longer base = 3h+5 =3*25+5=80 feet

Hence , the length of the longer base is 80 feet.

6 0

4 years ago

Math, i can give you brainliset just help me with the two questions :)

Kay [80]

Answer:

2. the interquartile range is 20

3. 80 is the median.

Step-by-step explanation:

have a nice day.

8 0

3 years ago

Which properties justify the steps taken to solve the system 4x + 3y =25 2x + 5y=19 ​

Which properties justify the steps taken to solve the system 4x + 3y =25 2x + 5y=19