-4x + 7 = 2y- 3 y-intercept: X-intercept:

Mathematics

2 answers:

Nat2105 [25]3 years ago

6 0

X intercept: (3,0)
y intercept: (0,-3/2)

Karolina [17]3 years ago

4 0

The answer is Y=5 and x=5/2

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D = 8 cm h = 18 cm What is the surface area of the cylinder

mars1129 [50]

Answer:

144 (If multiplying)

Step-by-step explanation:

18x8=144.

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3 years ago

Which expression represents the distance between point (0, a) and point (a, 0) on a coordinate grid?

o-na [289]

Answer:

$\sqrt{2} a$

Step-by-step explanation:

The distance between point (x1,y1) and (x2,y2) on a coordinate plane is given by expression $\sqrt{(x1-x2)^2+(y1-y2)^2}$

In the problem given coordinate points are

(0, a) and (a, 0).

Thus, distance between these points are given by

$distance = \sqrt{(x1-x2)^2+(y1-y2)^2}\\=>distance = \sqrt{(0-a)^2+(a-0)^2}\\=>distance = \sqrt{(a)^2+(a)^2}\\\\=>distance = \sqrt{2a^2}\\=>distance = \sqrt{2} a$

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3 years ago

Read 2 more answers

Please help with these two questions

S_A_V [24]

To answer question 12, you first need to know the definition of a prism and a pyramid.

A pyramid is a 3-D structure with one base, whose outer faces are made of triangles, and meet at a single point at the top.

A prism is any 3-D shape with a base of any number of sides, another base with the same amount of sides, and faces joining the two together on every side of the bases.

12.
Shape A is a pyramid, because it has one base, and all the faces join together in at one point.

Shape B is a prism, because it has two bases, and faces joining every side of the bases.

Shape C is a prism.

Shape D is a pyramid.

For #13, you have to know the definition of a cube to figure out the math of how many cubes there are.

A cube is a 3-D shape with six sides, all made up of squares of the same size.

The box has a volume of 120 cubic inches, and each cube is 1 inch. Since every side of a cube is equal, a 1-inch cube is one cubic inch.

This means that a box with a volume of 120 cubic inches will fit 120 of the 1 inch cubes.

1 layer of the cubes, in the diagram, is 8 cubes by 3 cubes, or 24 cubes total.

To find the number of layers needed to fill the box, you divide 120 by 24.

120 ÷ 24 = 5

The answer to #13 is 5 layers.

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3 years ago

graph the solution to the following system of inequalities y<-2x+7, y greater than or equal to 2x - 3

Alex777 [14]

Answer:

See attached diagram

Step-by-step explanation:

Graph the solution of the inequality $y$ First, draw the dotted line $y=-2x+7$ (dotted because the sign of the inequality is <). Then determine wich part of the coordinate plane should be shaded. Since the origin's coordinates satisfy the inequality, then this point should belong to the region (red part on the diagram).

Graph the solution of the inequality $y\ge 2x-3.$ First, draw the solid line $y=2x-3$ (solid because the sign of the inequality is ≥). Then determine wich part of the coordinate plane should be shaded. Since the origin's coordinates satisfy the inequality, then this point should belong to the region (blue part on the diagram).