Evaluate the expression 6nm + 7m − 8n for m = 4 and n = 8. HELP ASAP!!

What is the equation of the line that goes through (-5,0) and (-4,4)

Tasya [4]

Answer:

$y=4x+20$

Step-by-step explanation:

To write an equation, use the slope-intercept equation:

$y=mx+b$

M is the slope and b is the y-intercept.

First, find the slope by using the slope formula for when you have two points:

$\frac{y(2)-y(1)}{x(2)-x(1)}=\frac{rise}{run}$

Rise over run is the change in the y-axis over the change in the x-axis. Substitute values:

$(-5,0)(-4,4)\\(-5(x1),0(y1))\\(-4(x2),4(y2))\\\\\frac{4-0}{-4-(-5)}$

Simplify parentheses (two negatives make a positive) and simplify:

$\frac{4-0}{-4+5}\\\\\frac{4}{1}=4$

The slope, m, is 4. Insert this information into the equation:

$y=4x+b$

Now, take one of the points and insert into the slope-intercept formula:

$(-5,0)\\(-5(x),0(y))\\\\0=4(-5)+b$

Solve for b, the y-intercept. Simplify multiplication:

$0=-20+b$

Add 20 to both sides and simplify:

$0+20=-20+20+b\\20=b\\b=20$

The y-intercept, b, is 20. Insert this value into the equation:

$y=4x+20$

Done.

7 0

4 years ago

If ABC is congruent to DEC, angle B = 50 degrees and angle E = 5x x=

Anarel [89]

Because base angles are congruent, both angle A and B are congruent. If the two triangles are congruent, then the base angles are the same, meaning 5x=50*. Divide by 10 and you get the answer of x=5. :) Hope this helps!

7 0

3 years ago

What is 2 3/5 + 1 3/5

Vlada [557]

Answer: 4 1/5

Step-by-step explanation:

Rewriting our equation with parts separated

=2 + 3/5 + 1 + 3/5

Solving the whole number parts

2 + 1= 3

Solving the fraction parts

3/5 + 3/5 = 6/5

Simplifying the fraction part, 6/5,

6/5 = 1 1/5

Combining the whole and fraction parts

3 + 1+ 1/5 = 4 1/5

Solution by Formulas

converting mixed numbers to fractions, our initial equation becomes,

13/5 + 8/5

Applying the fractions formula for addition,

=(13 × 5) + (8 × 5)/5 × 5

=65+40 / 25

=105/25

Simplifying 105/25, the answer is

=4 1/5

6 0

4 years ago

Read 2 more answers

Find the equation of the line that fits the description (-1, -5) and has zero slope

PolarNik [594]

Y = mx + b
where
m = slope
b = y-intercept

y = 0x - 5

7 0

3 years ago

Read 2 more answers

The arch of a bridge form a parabola. The arch is 72m wide and its maximum height is 27m above its base. determine an equation t

Anna35 [415]

Answer:

Step-by-step explanation:

If the parabola is 72 m wide, then if we were to plot this parabola on a piece of (very large, lol) graph paper, we could plot one point at (72, 0) and the other one at (0, 0) since that would ensure that the arch is 72 m wide (72 - 0 = 72). The thing to remember now is that the vertex is exactly halfway between those 2 points with regards to the x-intercepts. In other words, if the width of the arch is 72 meters and the x values run from 0 to 72, then the x coordinate (or h, actually) of the vertex is 36 since 36 is halfway between 0 and 72 on the x-axis. Since the vertex goes up to 27 m, the k coordinate of the vertex is 27.

So here's what we have:

Coordinate points: (0, 0) and (72, 0)

Vertex: (36, 27)

We will use one of those coordinates along with the vertex in

$y=a(x-h)^2+k$ and solve for a. Pro tip: since this is an upside down parabola, a better be negative when we solve for it!