If ABCD is a parallelogram, what can we say about the diagonals BD and AC?
A.They're congruent to sides AD and BC

B. They bisect each other

C. They're congruent to sides AB and DC

D. They're congruent

The given equation translated 4 units to the left is  x - 1.

It is required to write the given equation translated 4 units to the left.

Coordinate geometry is defined as the study of geometry using the coordinate points. Coordinate geometry is required to provide a link between algebra and geometry through the use of line and curve graphs.

Given that:

Replace x in f(x) with x + 4 to translate 4 units to the left.

Replace x in f(x) with x - 4 to translate 4 units to the right.

Since you want to go left,

f(x) → f(x + 4)

f(x)  = (x + 4) - 5

∴f(x)  = x - 1

Therefore, the given equation translated 4 units to the left is  x - 1.

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Answer: [tex]\dfrac{3}{8}[/tex]

Step-by-step explanation:

Let x denotes the total pocket money Josh has.

As per given , we have

Saved pocket money = [tex]\dfrac{1}{4}x[/tex]

Money Remains = [tex]x-\dfrac{x}{4}=\dfrac{3x}{4}[/tex]

Money he spent = [tex]\dfrac{1}{2}[/tex] of (Money Remains)

=  [tex]\dfrac{1}{2}\times\dfrac{3x}{4}[/tex]

[tex]=[/tex][tex]\dfrac{3x}{8}[/tex]

Hence, the fraction of money he spent = [tex]\dfrac{3}{8}[/tex]

Answer:

Option 1.

Step-by-step explanation:

The given equation of the line is 10x + 5y = 20

Now we will convert this equation into y-intercept form

10x + 5y = 20

5y = 20 - 10x

y = [tex]\frac{1}{5}[/tex] (20 _ 10x)

= -2x + 4

y-intercept of the line is 4 which gives us hint that graph (1) or (2) may be the correct option.

Since slope is (-2)

So from graph (1) slope of the line passing through (0,4) and (-2,0)  = [tex]\frac{4.0}{0+2}[/tex] = 2

Therefore, graph A is not the answer.

For graph (2) slope of the graphed line passing through (0,4) and (2,0)  = [tex]\frac{4-0}{0-2}[/tex] = (-2)

So graph (2) is representing the line y = -2x +4

Option 1. is the answer.

Answer:

88  14/16

Step-by-step explanation:

I call these mixed numbers, a mixed number is written as a b/c and it means

[tex]a+\frac{b}{c}[/tex]

So, we can use the above to re arrange our expression to a more convenient presentation.

we have>

[tex]20+\frac{9}{16} + 24+\frac{5}{8} + 21+\frac{5}{16}+23+\frac{3}{8}\\  \\88+\frac{14}{16} +\frac{8}{8} \\\\89+\frac{14}{16}[/tex]

88  14/16, we tend to no simplify this expression anymore since, the number 14/16 usually means something in real life, like the diameter for a construction pipe

Answer:

  No.

Step-by-step explanation:

Zero does not have a reciprocal. 1/0 is undefined.

Answer:

this person is correct to see the answer CLICK HERE thank you

Step-by-step explanation:

The length of DP is:

                      DP=14 units

It is given that:

Point P is the midpoint of DE.

DP =3x + 2 and DE = 10x - 12.

We know that a midpoint divides the given line segment into two equal parts (i.e. it bisects a line segment)

Hence, we have:

DP+PE=DE

Also, DP=PE

This means that:

2DP=DE

2(3x+2)=10x-12

2×(3x)+2×2=10x-12

6x+4=10x-12

10x-6x=4+12

4x=16

x=16/4

x=4

Hence,

DP=3x+2=3×4+2

i.e.

DP=14

Answer:

the value of h is, -8.75

Step-by-step explanation:

The distributive property says that:

[tex]x \cdot (y+z) = x\cdot y+ x\cdot z[/tex]

Given the equation:

[tex]-110=13+3(4h-6)[/tex]

Apply the distributive property we have;

[tex]-110=13+12h-18[/tex]

Combine like terms;

[tex]-110=12h-5[/tex]

Add 5 to both sides we get;

[tex]-105=12h[/tex]

Divide both sides by 12 we get;

-8.75 = h

or

h = -8.75

Therefore, the value of h is, -8.75

An absolute value equation with solutions -10 and -5 is |x + 7.5| = 2.5. This is determined by finding the midpoint between -10 and -5, and then expressing the equation to reflect that distance.

To write an absolute value equation that has the solutions x=-10 and x=-5, you must consider the midpoint between these two solutions. The midpoint or average is found by adding the values together and dividing by 2, which we can write as (x + 10 + x + 5)/2. Simplifying, we get (2x + 15)/2 = x + 7.5 as the midpoint. Now an absolute value equation that holds the given solutions will have its vertex (the point where the absolute value expression equals zero) at this midpoint and the same distance from both -10 and -5, which is 2.5 units. So, the equation looks like |x + 7.5| = 2.5.

2^4 x 2^-7 = 0.125

2^3 = 8, 1 /8 = 0.125

 answer is B

2^4 x 2^-7 = 0.125

2^3 = 8, 1 /8 = 0.125

answer is B

In equation (a), x=30 is the solution. In equation (b), it has an infinite number of solutions. In equation (c), it has no solution.

(a) To solve the equation 6x+4x-6=24+9x, we need to simplify both sides of the equation and isolate the variable x. Start by combining like terms on both sides of the equation:

10x-6=24+9x

Next, move all the terms with x to one side of the equation by subtracting 9x from both sides:

10x-9x-6=24

Simplify further:

x-6=24

Now, isolate x by adding 6 to both sides:

x-6+6=24+6

x=30

Therefore, the equation has one solution, x=30.

(b) To solve the equation 25-4x=15-3x+10-x, we need to simplify both sides of the equation and isolate the variable x. Start by combining like terms on both sides of the equation:

25-4x=15-3x+10-x

Combine like terms:

25-4x=25-4x

Notice that both sides of the equation are identical. This means that the equation is an identity, and it has an infinite number of solutions.

(c) To solve the equation 4x+8=2x+7+2x-20, we need to simplify both sides of the equation and isolate the variable x. Start by combining like terms on both sides of the equation:

4x+8=2x+7+2x-20

Combine like terms:

4x+8=4x-13

Notice that both sides of the equation are not equal. This means that the equation is a contradiction, and it has no solution.

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112-88 = 24

 they save $24 per month

so 650/24 = 27.083

so it will pay for itself in 27.083 months, round up to 28 months

0.7x-1.4 =-3.5

 add 1.4 to each side

0.7x = -2.1

 x = -2.1 / 0.7

x = -3

 Answer is B -3

[tex]-3[/tex] is the value of x in the equation [tex]0.7x -1.4 = -3.5[/tex]

What is equation?

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

According to question, we have to find the value of  x in the equation [tex]0.7x -1.4 = -3.5[/tex]

Now,[tex]0.7x -1.4 = -3.5[/tex]

⇒[tex]x=\frac{-2.1}{0.7} \\[/tex]

⇒[tex]x=-3[/tex]

So,-[tex]3[/tex] is the  value of x in the equation [tex]0.7x -1.4 = -3.5[/tex]

Hence, Option(B) is correct.

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The perfect cubes from the given options are 64x^16, 8x^3, 81x^6, and 125x^9 as they can all be expressed as the cube of an integer or a product of an integer and variable raised to an exponent that is a multiple of three.

The question is asking us to identify which expressions are perfect cubes. A perfect cube is a number that can be expressed as the cube of an integer. The expression for a perfect cube with variables is x3n, where n is a non-negative integer. We apply this principle to the options given:

Therefore, the perfect cubes from the options given are 64x16, 8x3, 81x6, and 125x9.