On a town map, each unit of the coordinate plane represents 1 mile. Three branches of a bank are located
at A(-3,1), B(4,2), and C(2,0). A bank employee drives from Branch A to Branch B and then dricas
halfway to Branch C before getting stuck in traffic. What is the minimum total distance the employee
may have driven before getting stuck in traffic? Round to the nearest tenth of a mile if necessary.

Expand.

-5x-10=8x

−5x−10=8x

2 Add 5x5x to both sides.

-10=8x+5x

−10=8x+5x

3 Simplify  8x+5x8x+5x  to  13x13x.

-10=13x

−10=13x

4 Divide both sides by 1313.

-\frac{10}{13}=x

−

13

10

​

=x

5 Switch sides.

x=-\frac{10}{13}

x=−

13

10

​

Answer: x=− 13/10

​

Answer:

Natalie since its constant ig

Answer:

Natalie.

Step-by-step explanation:

there is a constant pattern in the cost of shirts and the number of shirts that can be bought.

for every 1 shirt you pay $15.

thus, to determine the amount you pay for 2 shirts.

2(X)=Y {y= the total cost of 'n' shirts,X= the cost of 1 shirt.}

so this can be expressed as n15=Y

3 shirts therefore will be 3($15)= $45

Answer:

15 m and 20 m

Step-by-step explanation:

Let the width be x

Length = x + 5

Perimeter = 2(l + b)

70 = 2(x + 5 + x)

70/2 = 2x + 5

35 = 2x + 5

35 - 5 = 2x

30 = 2x

30/2 = x

15 = x

Length = x + 5 = 20 m

Breadth = x = 15 m

Answer:

39,000+3x=216,000

Step-by-step explanation:

brainliest please

The equation that can be used is 216,000 = 3T + 39,000 and the number of trucks sold last year is 59,000.

Given,

Number of cars sold last year = 216,000

The number of cars sold last year = 39,000 more than three times the number of trucks sold.

Let the number of trucks sold last year = T

Write the equation of the number of cars sold last year.

The number of cars sold last year = 39,000 more than three times the number of trucks sold.

216,000 = 3T + 39,000

Find the number of trucks sold last year.

We have,

216,000 = 3T + 39,000

Subtracting 39,000 on both sides.

216,000 - 39,000 = 3T + 39,000 - 39,000

177,000 = 3T

Divide 3 on both sides.

177,000 / 3 = 3T / 3

59,000 = T

The number of trucks sold last year is 59,000.

Thus the equation that can be used is 216,000 = 3T + 39,000 and the number of trucks sold last year is 59,000.

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Resposta:

A vara mede 5,35 m.

Explicação:

[tex] \sin 20^\circ = \dfrac{1,83~m}{x} [/tex]

[tex] x = \dfrac{1,83~m}{\sin 20^\circ} [/tex]

[tex] x = 5,35~m [/tex]

Answer:

I like the algebra books myself

Step-by-step explanation:

-7y-4y=9

-11y=9

y=9/-11

y=0.81

Answer:

[tex] - 7y - 4y = 9 \\ - 11y = 9 \\ - y = \frac{9}{11} \\ y = - \frac{9}{11} \\ thank \: you[/tex]

Answer:

[tex]f(x) = - 2x - 3[/tex]

when x is r + 2 :

[tex]f(r + 2) = - 2(r + 2) - 3 \\ = - 2r - 4 - 3 \\ = - 2r - 7 \\ \\ { \boxed{ \boxed{f(r + 2) = - 2r - 7}}}[/tex]

Answer:

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Answer:

m<JKD = 22 degrees

Step-by-step explanation:

21x + 5 + 4x + 2 = 132

25x + 7 = 132

25x = 125

x = 5

m<JKD = 4x + 2

4(5) + 2

20 + 2

22

Answer:

4 is the answer to the 1st question

[tex]3.51+8.13=11.64=\frac{1164}{1000}=\frac{291}{250}[/tex]

Since the sum can be expressed as the ratio of two positive integers, it is rational.

Answer:

Answer : 21 - 20i

Step-by-step explanation:

[tex] {(2 - i)}^{4} = (2 - i) {}^{2} (2 - i) {}^{2} \\ \\ = (4 - 2i - {i}^{2} )(4 - 2i - {i}^{2} )[/tex]

remember i² is -1 :

[tex] = (4 - 2i - ( - 1))(4 - 2i - ( - 1)) \\ = (5 - 2i)(5 - 2i) \\ \\ = (25 - 20i + 4 {i}^{2} ) \\ = (25 - 20i + 4( - 1)) \\ = (25 - 20i - 4) \\ = 21 - 20i[/tex]

Answer:

8 - 4i

Step-by-step explanation:

(2- i)4

= (2 × 4 - 4 × i)

= 8 - 4i

answer: -x-15

Step-by-step explanation:distribute the -1

Answer:

186%

Step-by-step explanation:

Looking at the squares, we can see that the first one has been completely shaded. That means that it is 100% shaded.

The second square has 86 out of 100 squares shaded, so that means that it is 86% filled.

Therefore 186% is filled by the shaded area.

Answer:

a=5 or a=15, b=15 or b=5

Step-by-step explanation:

b=20-a

a(20-a)=75

20a-[tex]a^{2}[/tex] -75=0

-[tex]a^{2}[/tex]+20a-75=0

[tex]a^{2}[/tex]-20a+75=0

(a-5)(a-15)=0

a-5=0 or a-15=0

a=5 or a=15

b=15 or b=5

(:

Answer:

Step-by-step explanation:

 a + b = 20

Sum of roots = 20

ab = 75

Product of roots = 75

x² - (a +b) x + ab = 0

x² - 20x + 75 = 0

Sum = coefficient of x = -20

Product = 75

Factors = 15 , 5    {15*5 = 75  & 15 +5 = 20}

x² - 15x - 5x + 75 = 0  {Rewrite the middle term}

x(x - 15) - 5(x - 15) = 0

(x - 15) (x - 5)=0

x - 15 = 0    ; x -5 = 0

x = 15        ; x = 5

a = 15  ;  b= 5

Answer:

Area formular of a triangle :

[tex]area = \frac{1}{2} \times base \times height[/tex]

area » 48 ft

height » 8 ft

let the base the b :

substitute:

[tex]48 = \frac{1}{2} \times b \times 8 \\ \\ 48 = \frac{(b \times 8)}{2} \\ \\ 48 = b \times ( \frac{8}{2} ) \\ \\ 48 = b \times 4 \\ b \times 4 = 48[/tex]

divide either sides by 4:

[tex] \frac{b \times 4}{4} = \frac{48}{4} \\ \\ { \boxed{ \boxed{base = 12 \: \: feet}}}[/tex]

Answer:

x=130

Step-by-step explanation:

(x - 129) * 129 = 129

Then solve

If x exists decreased by 129 and then that number exists multiplied by 129, the result exist 129 then the value of x exists 130.

In algebra, the letter "x" is frequently used to denote an unknown value. It is referred to as a "variable" or occasionally a "unknown."

Any of the algebraic expressions, including addition, subtraction, multiplication, and division, should be used. Bring the variable to the left and the remaining values to the right to estimate the value of x. To estimate the outcome, estimate the values.

If x exists decreased by 129 and then that number exists multiplied by 129, the result exist 129.

(x - 129) × 129 = 129

Divide both sides by 129

((x-129) × 129) / (129) = (129) / (129)

Simplifying the above equation, we get

x - 129 = 1

Add 129 to both sides

x - 129 + 129 = 1 + 129

x = 130

Therefore, the value of x exists 130.

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Answer:

b its a trinominal with a degree of 2

The polynomial, 3x - 4 + 5x², is a trinomial with a degree of 2.

An expression that consists of variables, constants, and exponents that is combined using mathematical operations like addition, subtraction, multiplication, and division is referred to as a polynomial.

Given:

We have the polynomial,

3x - 4 + 5x²

To find the degree of a polynomial:

We take the highest powered variable, and the order of that variable is equal to the degree of the polynomial.

Here, the highest power is 2.

So, the degree is 2.

And the polynomial has three terms.

So, the polynomial is trinomial.

Therefore, it is a trinomial with a degree of 2.

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Answer:

Answer: Do -7 + 7 and do the same to 10, (7 + 10). This is the first step in Isolating the variable.

Step-by-step explanation:

hope it's right

[tex]\large \mathfrak{Solution : }[/tex]

let's solve for x :

first step : adding 7 on both sides

next step : dividing by 9 on both sides :

now, let's check for the solution by Plugging the value of x as 17 / 9 in the above equation.

we can see that the LHS = RHS, therefore our value for x is correct. i.e 17 / 9

Answer:

The answer is 1

Step-by-step explanation:

Any number to the power of 0 are always 1

Answer:

100⁰=1

Step-by-step explanation:

[tex]100 ^{2} \div {100}^{2} = 1 \\ 100 ^{2 - 2} = 1 \\ 100 ^{0} = 1[/tex]

[tex]5x-6-x=2x+2\\\\5x-x-2x=2+6\\\\2x=8 \ \ /:2\\\\x=4\\\\\huge\boxed{\text{There is one solution at x=4}}[/tex]

Answer:

There is one solution at x+4

Step-by-step explanation:

Answer:

Step-by-step explanation:

a = 12 cm ; b = 8 cm and h = 6 cm

a) Area of Trapezium = [tex]\dfrac{(a+b)*h}{2}[/tex]   ,  where a and b are length of non parallel sides.

                        [tex]=\dfrac{(12+8)*6}{2}\\\\=\dfrac{20*6}{2}\\\\= 10 * 6\\\\= 60 \ cm^{2}[/tex]

b)   x    0      1        2      3       4  

     y     7       4      1      -2      -5

3x + y = 7

        y = -3x + 7

When x = 0 ;  y = 0 + 7 = 7

When x = 1 ;   y = -3*1 + 7 = -3 +7 = 4

When x = 2 ; y = (-3) *2 + 7 = -6+7 = 1

When x = 3 ;  y = (-3)*3 +7 = -9 + 7 = -2

When x = 4 ; y = (-3) *4 + 7 = -12 + 7 = -5

c) Let the consecutive even number = (2x + 2) & (2x + 4)

9 *greater number - 7 *smaller number = 46

9*( 2x+ 4 ) - 7(2x + 2)= 46

9*2x + 9*4 - 7 *2x - 7*2 = 46

18x + 36 - 14x - 14  = 46

18x - 14x + 36 - 14 = 46

           4x +  22    = 46

                      4x  = 46 - 22

                      4x =  24

                        x = 24/4

                        x = 6

2x + 2 = 2*6 + 2 = 12 + 2 = 14

2x +4 = 2*6 + 4 = 12 + 4   = 16

The consecutive even numbers are  14 & 16

Answer:

16 minutes

Step-by-step explanation:

all i know is 9+7 wahm bam yes mama its not it but ill give that answer >:D

I assume a, b, and c are the measures of the angles A, B, and C themselves. (If you meant lengths of the sides opposite these angles, this would be impossible.)

The interior angles to any triangle sum to 180° in measure, so

A + B + C = 180°

Now,

• A is twice the size of B, so A = 2B or B = A/2

• C measures 20° less than A, so C = A - 20°

Substitute these into the first equation and solve for A :

A + A/2 + (A - 20°) = 180°

5/2 A - 20° = 180°

5/2 A = 200°

A = 80°

Solve for B and C :

B = 80°/2

B = 40°

C = 80° - 20°

C = 60°

Answer:

Answer:

Step-by-step explanation:

The sum of d and 12 is equal to 9

=> d + 12 = 9

=> d = 9 - 12

=> d = -3 (Ans)

Answer:

D. y= 1/2 · 4^x

Step-by-step explanation: