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3 years ago

Write three different integer addition expressions that equal –5.

Mathematics

1 answer:

podryga [215]3 years ago

5 0

Answer:

1. 5 + (-10)

2. -8 + 3

3. -7 + 2

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The scale of this map is 1 inch = 50 miles. The ruler measures the distance between Gary, Indiana, and Traverse City, Michigan,

levacccp [35]

Answer:

150 miles

Step-by-step explanation:

Given the scale on the map using the conversion factor

1 inch = 50 miles

We are to find the equivalent miles between the cities in miles if the distace is 3inches

3inches = x

Divide both expressions

1/3 = 50/x

Cross multiply

x = 3 * 50

x = 150

Hence the actual distance between these two cities in miles is 150 miles

6 0

3 years ago

Find area of the isosceles triangle formed by the vertex and the x-intercepts of parabola y=x2+4x−12.

xz_007 [3.2K]

The area of the isosceles triangle is 64 sq units.

Solution:

Part 1: x-intercepts

The x-intercepts occur at the points on the function where y=0

So, we need to solve

$x^2-4x-12=0$

The left side factors fairly easily into:

$(x-6)(x+2)=0$

So solution occur when

$x-6=0\rightarrow x=6$

and

$x+2=0\rightarrow x=(-2)$

So the x-intercepts are at (0,6) and (0,−2)

Part 2: vertex of the parabola

The vertex of a simple quadratic parabola occurs when the derivative of the quadratic is equal to 0.

The derivative of the given quadratic is

$\frac{dy}{dx}=2x-4$

By observation, this is equal to 0 when x=2

When x=2 the original equation becomes

$y=(2)^2-4(2)-12$

$y=-16$

Therefore the vertex of this parabola is at (2,−16)

The endpoints of the base of the isosceles triangle are (-6, 0) and (2, 0)

$\Rightarrow$ so its base is 8

The height of the triangle reaches from the midpoint of the base (-2, 0) and the vertex (2, -16)

$\Rightarrow$ so its height is 16

The area is $\frac{1}{2}\times \text { base }\times \text { height }=\frac{1}{2}\times8\times16=64 \text{ sq units }$

6 0

3 years ago

Find the missing value in the ratio table. Then write the equivalent ratios.

joja [24]

Flutes-10, 5, 2
Clarinets- 8, 12, 16
10:8=5:4
5:12
2:16=1:8
Hope this helps!

3 0

3 years ago

67. The value of ( 1) n n is A. 0 C. 1 B. -1 D. 10 E. 0.1

nalin [4]

Answer:

A. 0

Step-by-step explanation:

An interpretation of that expression is

${( - 1)}^{1} + {( - 1)}^{2} + {( - 1)}^{3} + {( - 1)}^{4} + {( - 1)}^{5} + {( - 1)}^{6} + {( - 1)}^{7} + {( - 1)}^{8} + {( - 1)}^{9} + {( - 1)}^{10}$

This expressions results in

$- 1 + 1 - 1 + 1 - 1 + 1 - 1 + 1 - 1 + 1 = 0$

5 0

3 years ago

Read 2 more answers

Find f(-2) for the following problems.

lesantik [10]

Answer:

a. Problem A > Problem B

Step-by-step explanation:

Problem A:

f(x) = x3 + 5

f(-2) = (-2)3 + 5

f(-2) = (-6) + 5

f(-2) = -1

Problem B:

f(x) = x2 - 2

f(-2) = (-2)2 - 2

f(-2) = (-4) - 2

f(-2) = -6

8 0

3 years ago