This isosceles triangle has two sides of equal length, a, that are longer than the length of the base, b. The perimeter of the triangle is 15.7 centimeters. The equation 2a + b = 15.7 models this information. If one of the longer sides is 6.3 centimeters, which equation can be used to find the length of the base? This isosceles triangle has two sides of equal length, a, that are longer than the length of the base, b. The perimeter of the triangle is 15.7 centimeters. The equation 2a + b = 15.7 models this information. If one of the longer sides is 6.3 centimeters, which equation can be used to find the length of the base?

(4x+5) miles..........1 hour

    x    miles .........(x-1) hour

(4x+5) * (x-1) = 1 * x

in (x - 1)h = x / (4x+5)  miles

Answer:

x=-3

Step-by-step explanation:

there are three x's and five one's so the equation is 3x+5

on the other side there are 2 negative x's and 10 negative one's so the equation is -2x-10

set them equal to each other

3x+5=-2x-10

5x=-15

x=-3

Answer:

hey how old are you

Step-by-step explanation:

jnedjed

The distance between the lines with equations -4x + 7y + 9 = 0 and y = 4/7x - 9 is 7.71 units.

A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of a line is given by,

y =mx + c

where,

x is the coordinate of the x-axis,

y is the coordinate of the y-axis,

m is the slope of the line, and

c is the y-intercept.

The distance between the two straight parallel lines can be found by finding the difference between the y-intercept of the two lines. Therefore, for the two of the given equation, the value of the y-intercept can be written as,

Y-intercept of -4x + 7y + 9 = 0

-4x + 7y + 9 = 0

7y = 4x - 9

y = (4x - 9)/7

y = 4x/7 - 9/7

y-intercept = -9/7

Y-intercept of y = 4/7x - 9

y = 4/7x - 9

y-intercept = -9

Now, the difference distance between the two lines will be,

Distance = Difference between the y-intercept

               = -9 - (-9/7)

               = -9 + 1.2857

               = 7.71

Hence, the distance between the lines with equations -4x + 7y + 9 = 0 and y = 4/7x - 9 is 7.71 units.

Learn more about Equation of Line:

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Answer:  -1/3 x -1

Step-by-step explanation:

By doing some stuff, you get the slope of the first line as -1/3. Set up -1/3 x +b and you plug in the coordinates. That makes b= -1. Hope it helps :)

Answer:

1/6

Multiply 5/12 x 2/5 then cross cancel 12 and 2 and get 6 then cross cancel 5 and 5 to get 1.

Final answer:

1/6

Answer: No real number solutions

The complex number solutions are [tex]x = \frac{-1+ i\sqrt{11}}{3} \ \text{ or } \ x = \frac{-1- i\sqrt{11}}{3}\\\\[/tex]

where [tex]i = \sqrt{-1}[/tex]

=======================================================

Explanation:

The given equation 3x^2+2x+4 = 0 is in the form ax^2 + bx + c = 0

We have

Let's compute the discriminant.

d = b^2 - 4ac

d = (2)^2-4(3)(4)

d = -44

The result is negative, so there are no real number solutions.

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

If you wanted to find the complex valued solutions, then we apply the quadratic formula.

Plug in a = 3, b = 2, c = 4

[tex]x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x = \frac{-(2)\pm\sqrt{(2)^2-4(3)(4)}}{2(3)}\\\\x = \frac{-2\pm\sqrt{-44}}{6}\\\\x = \frac{-2\pm\sqrt{-1*4*11}}{6}\\\\x = \frac{-2\pm\sqrt{-1}*\sqrt{4}*\sqrt{11}}{6}\\\\[/tex]

[tex]x = \frac{-2\pm i*2*\sqrt{11}}{6}\\\\x = \frac{-2\pm2i\sqrt{11}}{6}\\\\x = \frac{2(-1\pm i\sqrt{11})}{6}\\\\x = \frac{-1\pm i\sqrt{11}}{3}\\\\x = \frac{-1+ i\sqrt{11}}{3} \ \text{ or } \ x = \frac{-1- i\sqrt{11}}{3}\\\\[/tex]

Notice in step 3 we have -44 under the square root. The negative value in the square root leads directly to the imaginary number [tex]i = \sqrt{-1}[/tex]

Though the term "imaginary" is a bit unfair and misleading because numbers like -22 are just as imaginary and made up by humans. It just depends on context in which imaginary numbers are useful (eg: with physics or engineering).

Answer:

If AB crosses at a right angle, it is called the "perpendicular bisector" of PQ. If it crosses at any other angle it is simply called a bisector. Drag the points A or B and see both types. For obvious reasons, the point F is called the midpoint of the line PQ. See also Angle bisector.

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

12/2=6

6*4=24

Answer:

Beth will use 24 grapes.

Step-by-step explanation:

Not going to lie I forgot how i got my answer but ik its good.

Answer:

-7

Step-by-step explanation:

Answer:Diya

Step-by-step explanation: she’s right because she is black and all black peoples is always right

What is below the question is what I mean.

Answer:

2(3x+5) OR (6x+10)

Step-by-step explanation:

8 (2x+3)

8

Answer:

Step-by-step explanation:

Here is how to solve it using factoring:

x^2 - 2x - 1 = 2

x^2 - 2x - 3 = 0

(x + 1)(x - 3) = 0

x = -1, 3.

Answer:

your process is not correct

(x^2-2x+1 = 3+1)

you were wrong here

Step-by-step explanation:

I am not good in english so it is hard for me to explain...

Answer:

see below

Step-by-step explanation:

eq.1      2a   - b + 2c = -8

eq.2            5b  - 3c =  21

eq.3     -7a        -10c = -2

3 equations, 3 unknown.

first step is to eliminate b using eq1 and eq2

2a   - b + 2c = -8 (5)

      5b  - 3c =  21

10a - 5b + 10c = -40

        5b -  3c =  21

10a        + 7c = -21 ------------eq. A

lets solve a using eq. A

10a + 7c = -21

a = (-7c - 21) / 10

now substitute a into eq.3

-7a        -10c = -2

-7(-7c - 21) -10c = -2 distribute

        10

4.9c + 14.7 - 10c = -2  add similar terms

-5.1c = -2 - 14.7  simplify

c = -16.7 / -5.1

c  ≈ 3

solve b using eq. 2 and substitute c.

5b  - 3c =  21

5b = 21 + 3c

5b = 21 + 3(3.2)

b = 30.825 / 5

b ≈ 6

solve a using eq. A

10a + 7c = -21

10a + 7(3.2) = -21

10a = -21 - 22.4

a = -43.4 / 10

a ≈ -4

Answer:

a

Step-by-step explanation:

Answer: Your answer  40°

Step-by-step explanation:

Hope this helped!

PLEASE MARK ME AS BRAINLIEST!!!

Answer:

Domain: (-∞, -5) (-1, ∞)

Step-by-step explanation:

Note:

For f(x) > 0: See the points of x for which the graph of f(x) lies above the x-axis.

For f(x) < 0: See the points of x for which the graph of f(x) lies below the x-axis.

We need to find the domain of f(x) for which f(x) < 0

From the graph, we can tell:

f(x) < 0 on (-∞, -5) ∪ (-1, ∞)

Therefore: The domain on which the given graph f(x) is negative, is (-∞, -5) ∪ (-1, ∞)

Answer:

25

Step-by-step explanation:

Answer:

25

Step-by-step explanation:

4x-11=89

4x=89+11

4x=100

x= 25

I hope this will help

Answer:

a) 4x

b) 2 + 4y

Step-by-step explanation:

a) 7x - 6x + 3x

To do this, we just need to collect the terms together. They are all coefficients of x, so all we need to do is add the number together.

7 - 6 + 3 = 4

7x - 6x + 3x = 4x

b) 2(1 + 2y)

Here we need to expand the brackets. 2 is shown to be multiplied by 1 +2y:

2(1 + 2y)

= 2*1 + 2*2y

= 2 + 4y

I hope this helps :)

Answer:

b.177.14

Step-by-step explanation:

because 52.1x 3.4 = 177.14

Answer:

x = 9

Step-by-step explanation:

Isosceles means that the two sides equal each other

As such, to find the value of x we must equal the two expressions together and isolate the variable

20 = 3x - 7

add 7 to both sides

27 = 3x

divide both sides by 3

9 = x

Answer:

The variable x equals 9.

Step-by-step explanation:

3x - 7 = 20

3x = 27

X = 9

Answer:

C

Step-by-step explanation:

The reason it is C is mainly because it is the only line with a negative slope. A negative slope this direct \. It is not A because that is a positive slope (/). It is not B because that line is undefined which means it would look like this x = 2. And D is wrong because that is a zero slope line which looks like this y = 5. So it is C.

Here is a helpful website for problems like this Desmos. com

solving steps:

2( 9 - 7r ) + 8r

2(9) - 2(7r) + 8r

18 - 14r + 8r

18 - 6r

Answer:

18 - 6r

Step-by-step explanation:

2(9 - 7r) + 8r

Expand the brackets:

⇒ 2 · 9 - 2 · 7r + 8r

⇒ 18 - 14r + 8r

Combine like terms:

⇒ 18 - 6r

Answer:

A unit is a measure of ratio between two quantities. In this instance, the unit is a pound. The ratio you need to take is the price of each fruit and divide it by the number of pounds each fruit has to get a price per pound. See below for solution.

Step-by-step explanation:

A. 4.19 dollars / 2.5 pounds = 1.676 dollars / pound

B. 5.49 dollars / 4 pounds = 1.3725 dollars / pound

C. 6.99 dollars / 5 pounds = 1.398 dollars / pound

D. 9.59 dollars / 6.5 pounds = 1.475 dollars / pound

The lowest is B, the apples.

Answer:

An = a1 + (n-1) d

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given line:

We need to find a line that is perpendicular to the given line and passes through the pint (6, 9)

We know perpendicular lines have opposite-reciprocal slopes.

The slope of the line is:

Use point-slope form to find the line:

Convert the equation into slope-intercept form: