The slope of the line passing through the points (7, 5) and (21, 15) is ???
Another line with a slope that is one-third that of the slope you just calculated passes through the origin and the point ???

Answer:

SAS

Step-by-step explanation:

AD = DC             Given

<ADB = <CDB    Givien

BD = BD              Reflexive property.

The angle is between the 2 sides. The triangles are congruent by SAS.

To round 0.1287 to the nearest thousandth, we look at the next place value which here is 7. Since 7 is more than 5, we round up the thousandth place. Hence, 0.1287 becomes 0.129.

To round the number 0.1287 to the nearest thousandth, you need to look at the ten-thousandth place (which is the fourth numeral after the decimal point). In this number, the ten-thousandth place is 7. If this digit is 5 or above, we need to round up. If it is less than 5, we stay with the number as is. Since 7 is bigger than 5, we round up. Therefore, 0.1287 rounded to the nearest thousandth is 0.129.

https://brainly.com/question/19166897

#SPJ2

-(-2)^3=-(-8)=8. So the answer is 8. or the fourth answer choice.

The point where the line crosses the x-axis is called the [x-intercept]. The [y-intercept] is the point where the line crosses the y-axis.

Y-intercept.

By calculating the separations between two perpendicular lines that pass through a fixed point in Cartesian coordinates, we may find the location of a point P. Assume that O is the fixed point known as the origin and that XOX' and YOY' are the two perpendicular lines that pass through O and are referred to as the Cartesian or Rectangular co-ordinate axes.

given, the graph crosses the y-axis A point having an x-value and a y-value, is a coordinate: (x, y). The origin is the place where the two number lines converge, and it has the following coordinates: (0, 0). The x-value is zero when the graph of a function crosses the y-axis at a value b. As a result, the point is the y-intercept (0, b).

Therefore, A line's x-intercept and y-intercept are the points at which the x- and y-axes, respectively, are crossed.

Learn more about the cartesian plane here:

https://brainly.com/question/27927590

#SPJ2

Answer:

18 kg

Step-by-step explanation:

Recycling rate = 12 kg/6wk

Recycled = 9 × 12/6

Recycled = 9 × 2

Recycled = 18 kg

Answer:

f(-3) =10

Step-by-step explanation:

When given a function f(-3), they want you to substitute x=-3 into the function f(x) and solve

f(x) =|2x+1|+5

Let x=-3

f(-3) =|2 *-3+1|+5

f(-3)=|-6+1|+5

f(-3)=|-5|+5

The absolute value of -5 is positive 5  (absolute values means always positive).

f(-3)=5+5

f(-3) =10

Answer:

6x^2 - 4y^2 + 2x^2 + 6xy

Step-by-step explanation:

Each of the adjacent sides of the rectangle has a congruent, opposite sides. The perimeter is the sum of the lengths of the 4 sides.

P = 2(3x^2 - 2y^2) + 2(x^2 + 3xy)

P = 6x^2 - 4y^2 + 2x^2 + 6xy

24.

The perimeter of a rectangle l × w is P = 2l + 2w.

We have l = 3x² - 2y² and w = x² + 3xy. Substitute:

P = 2(3x² - 2y²) + 2(x² + 3xy)      use distributive property

P = (2)(3x²) + (2)(-2y²) + (2)(x²) + (2)(3xy)

P = 6x² - 4y² + 2x² + 6xy      combine like terms

Answer:

First picture:

1)Given

2)Substitution

3) Subtraction Property of Equality

4)if altenate interior angles are equal, then the lines are parallel

Second picture:

1) Given

2)if lines are parallel, then the corresponding angles are equal

3)Substitution

4)if altenate interior angles are equal, then the lines are parallel

Answer:

Option B.

Step-by-step explanation:

The given graph is of a line which is parallel to the x axis.

Let the equation of the line is y = mx + c

where m is the slope and c is a constant representing y - intercept.

Since the graphed line is parallel to x = 0

So for the values of x = 0 equation of the line will be

y = c (constant)

Therefore, Option B. Linear constant is the answer.

Answer: $45.00

Step-by-step explanation:

75 x 0.60 = 45

Answer:

$30

Step-by-step explanation:

First, change the percentage into decimal:

60% = 60/100 = 0.6

Multiply 75 with 0.6:

75 * 0.6 = 45

Note that this number 45 (0.6 of 75) is the amount off from the original price (75). Subtract 45 from 75

75 - 45 = 30

$30 is your answer

~

Answer:

A=6 and B=4.5

Step-by-step explanation:

You are given table

[tex]\begin{array}{cccccc}x&2&4&[A]&7&9\\y&1&2&3&3.5&[B]\end{array}[/tex]

If the paired values are in a proportional relationship, then

[tex]\dfrac{2}{1}=\dfrac{4}{2}=\dfrac{[A]}{3}=\dfrac{7}{3.5}=\dfrac{9}{[B]}.[/tex]

Note that

[tex]\dfrac{2}{1}=\dfrac{4}{2}=\dfrac{7}{3.5}=2,[/tex]

then

[tex]\dfrac{[A]}{3}=2\Rightarrow [A]=6,\\ \\\dfrac{9}{[B]}=2\Rightarrow [B]=\dfrac{9}{2}=4.5.[/tex]

Answer:

the answer is 6  

Step-by-step explanation: im 100% right this guy is wrong i repeat this guy is wrong!

Answer:

The correct answer option is C. y<= -4x + 25.

Step-by-step explanation:

Firstly, we will find out the equation of the line with the help of using two points (0, 25) and (-6, 49).

The slope (m) = [tex]\frac{49-25}{-6-0} =-4[/tex].

We know the standard form of the equation is [tex]y=mx+c[/tex] so the y-intercept (c) can be found by putting in the values of the slope and the coordinates of a point.

[tex]25=-4(0)+c\\\\c=25[/tex]

Therefore, the equation of the line is y = -4x + 25.

Now since the inequality is dealing with the value of y and we know that the values of y go vertically (up and down). So if we look at the graph, the shaded area includes the smaller values of y and the line is a solid one.

Therefore, the inequality will be y<= -4x + 25.

If you don't understand it this way, you can pick up a point and test the inequality.

Taking the easiest point (0, 0) to check.

0 <= -4 (0) + 25

0 <= 25 --- True

Answer:

700

Step-by-step explanation:

280 / 0.40 = 700

Answer:

280 *0.40 +96 STUDENTS

or

280/100  = x/40 cross multiply

9600=100x divide by 100

x=96

Step-by-step explanation:

The gradient of the line y= 5-5x is -5 which is the coefficient of 'x'. This connotes a negative slope, meaning the line descends as we move along the positive x-axis.

The equation y = 5 - 5x represents a straight line in the xy-plane. The coefficient of 'x' in the equation represents the slope of the line. Therefore, the gradient of the line is -5. This means for every unit increase in x, y will decrease by 5 units. This negative slope suggests that the line moves downwards as the x-value increases, similar to our reference figure A1 where the slope caused a rise or fall on the vertical axis for every increase of 1 on the horizontal axis.

https://brainly.com/question/30249498

#SPJ3

Answer:

= 7.5x-8

Step-by-step explanation:

Total cost = cost per yard * yard of fabric - coupon

total cost = 7.5 x - 8

y = 7.5x-8

Answer:

[tex]y=7.50x+8[/tex]

Step-by-step explanation:

For the equation, the amount of money is [tex]y[/tex], and the number of yards is [tex]x[/tex].

So, the problem says that the persona already have $8, which is constant, it wont' variate, that is, this is the independent term.

Then, it says the the fabric costs $7.50 per yard, and [tex]x[/tex] refer to yards, so this term would be [tex]7.50x[/tex].

Therefore, the equation to model this problem would be:

[tex]y=7.50x+8[/tex]

Answer:

[tex]\frac{3}{12} and \frac{8}{12}[/tex] are the fractions with common denominator

Step-by-step explanation:

fractions are  1/4 and 2/3

[tex]\frac{1}{4} and \frac{2}{3}[/tex]

To get common denominator we take LCD

LCD of 4  and 3 is 12

To get 12 in the denominator we multiply first fraction by 3  and second fraction by 4

[tex]\frac{1*3}{4*3} and \frac{2*4}{3*4}[/tex]

[tex]\frac{3}{12} and \frac{8}{12}[/tex]

Answer:

Option 2.

Step-by-step explanation:

You are bisecting angle BAC  with pencil and compass.

Answer:

The angle bisector of a given angle.

Step-by-step explanation:

From the construction, < BAC is the given angle. With any radius, draw arc BC. With any radius and points B and C as the centers consecutively, draw arcs to intersect at O. Join O to A. Line /AO/ is the angle bisector of the given angle <BAC.

The construction illustrated is the angle bisector of a given angle.

Answer:

5h + 2c = 31

5c + 3h = 30

Step-by-step explanation:

Let h = HD video price

Let c = classic video price

Fiona bought 5 HD videos and 2 classic videos for $31

5h + 2c = 31

Iliana bought 5 classic videos and 3 HD videos for $30

5c + 3h = 30

This is the system of equations

5h + 2c = 31

5c + 3h = 30

Answer:

Correct answer on test is D. 5 x + 2 y = 31. 3 x + 5 y = 30.

Step-by-step explanation:

Answer:

4(x-8)^2 -521

Answer:

The difference in temperature between a depth of 1200 meters and 3750 meters is 2.55

Step-by-step explanation:

The temperature T of the water in an ocean at depth X below 900 meters is given by:

T= 4500/X

To calculate the difference between a depth of 1200 meters and 3750 meters, it is necessary to calculate the temperature individually.

first, 1200 meters and 3750 meters are below 900 meters, so the equation describe before is applicable.

As a result, for 1200 meters, the temperature (symbolized as T1) is given by:

T1=4500/X

T1=4500/1200

T1=3.75

For 900 meters, the temperature (simbolized as T2) is given by:

T2=4500/X

T2=4500/3750

T2=1.2

The difference between the temperature T1 and T2 is:

Difference in temperature = T1 - T2

Difference in temperature = 3.75 - 1.2

Difference in temperature = 2.55

So, the difference in temperature between a depth of 1200 meters and 3750 meters is 2.55

Answer: D).-20

Step-by-step explanation:

Answer:

-20

Step-by-step explanation:

[tex]5+8e > 76\qquad\text{subtract 5 from both sides}\\\\8e > 71\qquad\text{divide both sides by 8}\\\\\boxed{e=\dfrac{71}{8}}[/tex]

[tex]e\cdot7<28\qquad\text{divide both sides by 7}\\\\\boxed{e<4}[/tex]

Answer:

B) 2328.50

Step-by-step explanation:

We are given 200 shares at $11.58 per share. By multiplying the number 200 with each share value will get the cost of all shares.

Total shares = 200

Cost per share = $11.58

Cost of 200 shares: Total shares * cost per share

= 200 * 11.58 = 2316

Commission charged = $12.50

Total amount: Cost of 200 shares + Commission charged

                      = 2316 + 12.50

Total amount = 2328.50

Jake reaches the top of the escalator because he exceeds the height of the escalator if he travels at the rate of 8.33 inches/second.

Unit rate is the ratio of two different units, with denominator as 1. For example, kilometer/hour, meter/sec, miles/hour, salary/month, etc. Arithmetic is probably the most basic and ancient branch of mathematics and is quite commonly used in our day-to-day life.

Given here: Jake reaches 25 inches above the ground in 3 seconds.

The unit rate of Jake's ascend is = 25/3

                                                =8.33 inches/second

If Jake rides the escalator for 15 seconds then we would climb

=8.33×15

=124.95 inches

After 45 seconds Jake would have climbed =45×8.33

                                                                          =374.85 inches

Thus after 45 seconds Jake reaches the top of the escalator.

Hence, Jake reaches the top of the escalator because he exceeds the height of the escalator if he travels at the rate of 8.33 inches/second.

Learn more about the unit rate here;

https://brainly.com/question/29781084

#SPJ3

Answer:

x = 22.5 and y = 9

Step-by-step explanation:

Since the lines are perpendicular then the angles formed are right, hence

4x = 90 ( divide both sides by 4 )

x = 22.5

and 10y = 90 ( divide both sides by 10 )

y = 9

5 - 4 + 7x + 1 = 7x + (5 - 4 + 1) = 7x + 2

NO SOLUTIONS:

5 - 4 + 7x + 1 = 7x + a    (a - any real number, except 2)

ONE SOLUTION:

5 - 4 + 7x + 1 = bx + c     (b - any real number, except 7, c - any real number)

INFINITELY MANY SOLUTIONS:

5 - 4 + 7x + 1 = 7x + 2

Examples:

2x + 3 = 2x + 5     subtract 2x from both sides

3 = 5    FALSE      (NO SOLUTIONS)

2x + 3 = x - 4      subtract x from both sides

x + 3 = -4       subtract 3 from both sides

x = -7          (ONE SOLUTION)

2x + 3 = 2x + 3      subtract 2x from both sides

3 = 3     TRUE      (INFINITELY MANY SOLUTIONS)

1) For No Solution

5 - 4 + 7x +1 = 7x

2) For One Solution

5- 4 +7x + 1 = 3

3) For No Solution

5 - 4 + 7x + 1 = 7x + 2

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

1) For No Solution

5 - 4 + 7x +1 = 7x

2) For One Solution

5- 4 +7x + 1 = 3

3) For No Solution

5 - 4 + 7x + 1 = 7x + 2

Learn more about Equation here:

https://brainly.com/question/11290008

#SPJ5

Answer:

If it was 750,000 liters it would be 750 liters

Step-by-step explanation:

Bill can solve this by first thinking that 1 liter is 1,000 milliliters. Then 1,000 times 750 equals 750,000. Then he would do 750 times 1 and get 750. Bill would then realize that  750,000 milliliters is equal to 750 liters

Answer:

Option B is correct.

the value of discriminant is, -7

Step-by-step explanation:

Given the equation: [tex]x^2 + x +2 = 0[/tex]

To find the value of discriminant [tex]b^2-4ac[/tex]

A quadratic equation is of the form [tex]ax^2+bx+c = 0[/tex] where a, b and c are coefficient of the equation.

On comparing with given equation we have;

a  = 1 , b = 1 and c = 2

then;

Discriminant = [tex]b^2-4ac =(1)^2 -4(1)(2) =1 -8 = -7[/tex]

Therefore, the value of discriminant is, -7