1/2(d+8)=10 what's the answer to this

Whats an equation for (0,75) (7,40) in slope intercept form

Molodets [167]

The slope-intercept form: y = mx + b.

m - slope, b - y-intercept

$m=\dfrac{y_2-y_1}{x_2-x_1}$

We have the points (0, 75) → y-intercept (b = 75), and (7, 40).

Substitute the coordimates of the points to the formula of a slope:

$m=\dfrac{40-75}{7-0}=\dfrac{-35}{7}=-5$

<h3>Answer: y = -5x + 75.</h3>

8 0

3 years ago

Find the value of x........................

Ann [662]

Answers: x = 4 and y = 3

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Explanation:

Triangle UBD is congruent to triangle RAN

Note the order of the lettering as it's important.

BD and AN are the last two letters of UBD and RAN in that order. Therefore, these sides correspond and BD = AN. From that, we know,

BD = AN

2y+5 = 3y+2

5-2 = 3y-2y

3 = 1y

y = 3

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Using similar logic, UD and RN are the first and last letters of UBD and RAN respectively. So,

UD = RN

15 = 2x+7

2x+7 = 15

2x = 15-7

2x = 8

x = 8/2

x = 4

3 0

3 years ago

What is the slope-intercept form of (-2,1) and (4,6)

mash [69]

Answer:

y = $\frac{5}{6}$ x + $\frac{8}{3}$

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = $\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

with (x₁, y₁ ) = (- 2, 1) and (x₂, y₂ ) = (4, 6)

m = $\frac{6-1}{4+2}$ = $\frac{5}{6}$ , thus

y = $\frac{5}{6}$ x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (4, 6 ), then

6 = $\frac{20}{6}$ + c ⇒ c = 6 - $\frac{20}{6}$ = $\frac{16}{6}$ = $\frac{8}{3}$

y = $\frac{5}{6}$ x + $\frac{8}{3}$ ← equation of line

4 0

3 years ago

Jane has a checkbook balance of $68.00. She then writes two checks, one for $5.00 and one for $62.50. She also deposits $75.00.

nataly862011 [7]

That would be D. The first two would be fight (I think) except they don't include turning the calculator on. C is just plain wrong. D has all the right keystrokes.

8 0

3 years ago

The base of a solid right pyramid is a regular hexagon with a radius of 2x units and an apothem of units. A solid right pyramid

Xelga [282]

Answer:

$6 x^2*\sqrt{3}$

Step-by-step explanation:

The base of the pyramid we need to study is a hexagon.

Let's look at the attached image of an hexagon to understand how we are going to find the area of this figure.

Notice that an hexagon is the combination of 6 exactly equal equilateral triangles in our case of size "2x" (notice that the "radius" of the hexagon is given as "2x")

Therefore the area of the hexagon is going to be 6 times the area of one of those equilateral triangles.

We know the area of a triangle is the product of its base times its height, divided by 2: $\frac{base*height}{2} = \frac{2x*height}{2}$

We notice that the triangle's height is exactly what is called the "apothem" of the hexagon (depicted in green in our figure) which measures $x\sqrt{3}$ , so replacing this value in the formula above for the area of one of the triangles:

$\frac{2x*height}{2}= \frac{2x*x\sqrt{3} }{2}=x^2\sqrt{3}$

Then we multiply this area times 6 to get the total area of the hexagon (6 of these triangles):

Area of hexagon = $6x^2\sqrt{3}$

which is the last option given in the list.

5 0

3 years ago

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