All categories

3 years ago

A line passes through the point (-8,7) and has a

Mathematics

1 answer:

zaharov [31]3 years ago

6 0

Answer:

y = (-5/2)x + 27

Step-by-step explanation:

Use the point slope formula y = mx + b.

Replace m with -5/2, x with -8 and y with 7:

7 = (-5/2)(8) + b. Find the y-intercept, b:

7 = -20 = b, or b = 27

The equation of this line is y = (-5/2)x + 27.

You might be interested in

110 120 130 140 150 160

ycow [4]

Answer:

Step-by-step explanation:

Given the data:

Weight ____Height

110 _______ 120

130 _______140

150 _______160

From the data given, we can conclude that that there exist a positive relationship between weight and height. As weight increases, the height increases and vice versa. The weight variable and height variable are positively correlated and thus an individual with a high weight value will have a high height value.

7 0

3 years ago

Read 2 more answers

Please help! 90 x 120 = ? divided by 2

Anna007 [38]

90 x 120 = 10800

10800/2 = 5400

6 0

3 years ago

Read 2 more answers

A toy car shown is modeled after a real car. If the real car is 4.79 meters long, how wide is it? Select the width to the neares

ipn [44]

I think the answer I d
but I am not good at math

5 0

4 years ago

A circle has centre (3,0) and radius 5. The line y = 2x + k intersects the circle in two points. Find the set

lara [203]

A circle with center $(3,0)$ and radius $5$ has equation

$(x-3)^2+y^2=25 \iff x^2 + y^2- 6 x = 16$

If we substitute $y=2x+k$ in this equation, we have

$x^2+(2x+k)^2-6x=16 \iff 5x^2+(4k-6)x+k^2-16=0$

This equation has two solutions (i.e. the line intersects the circle in two points) if and only if the determinant is greater than zero:

$\Delta=b^2-4ac=(4k-6)^2-4\cdot 5\cdot (k^2-16)>0$

The expression simplifies to

$-4 (k^2 + 12 k - 89)>0 \iff k^2 + 12 k - 89$

The solutions to the associated equation are

$k^2 + 12 k - 89=0 \iff k=-6\pm 5\sqrt{5}$

So, the parabola is negative between the two solutions:

$-6-5\sqrt{5}$

8 0

4 years ago

Which types of polygons are the faces of a tetrahedron?

valentina_108 [34]

The answer is the option A, which is: A. Equilateral triangles.

The explanation for this answer is shown below:

By definition, a tetrahedron is a solid in three dimensions that has: six sides, four vertices and four triangular faces. These faces are equilateral triangles, which means that all the sides are equal and all the interior angles measure $60$ degrees.

The tetrahedron is also called "triangular pyramid".

4 0

3 years ago

Read 2 more answers