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3 years ago

Which number is the same distance from 0 on a number line as 3/2 answers -3 -3/2 -2/3 2/3 3

Mathematics

1 answer:

yaroslaw [1]3 years ago

4 0

Answer: -3/2

Step-by-step explanation:

To find its distance away from 0, then just find its opposite.

On the number line if you graph 3/2, its opposite will be -3/2

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What is x? I tried it but I don’t think I did it right.

sattari [20]

Answer:

x = 4

Step-by-step explanation:

When a tangent and a secant are drawn from an external point to a circle.

Then the product of the external part of the secant and the entire secant and the square of the measure of the tangent are equal, hence

x(x + 5) = 6²

x² + 5x = 36 ( subtract 36 from both sides )

x² + 5x - 36 = 0 ← in standard form

(x + 9)(x - 4) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 9 = 0 ⇒ x = - 9

x - 4 = 0 ⇒ x = 4

However, x > 0 ⇒ x = 4

8 0

3 years ago

Use the balanced scale to find the conversion factor that can be used to convert the number of blocks to the weight of the block

Alexandra [31]

Find Total weight at left side

$\\ \sf\longmapsto 6(1lb)=6lbs$

Now

Per block weight at right side

$\\ \sf\longmapsto \dfrac{6}{4}=1.5lbs$

6 0

2 years ago

What is the equation of the line perpendicular to y=2x+3.14 going through the points (2,4)?

inessss [21]

Answer:

$x+2y-10=0$

Step-by-step explanation:

Consider an equation: $y=mx+c$

Here, m is the slope of the line and c is the y-intercept.

Given equation is $y=2x+3.14$

Here, slope is $m=2$

As product of slopes of two perpendicular lines is equal to $-1$ , slope of the required line is $m_1=\frac{-1}{m}=\frac{-1}{2}$ .

Let $(x_1,y_1)=(2,4)$

Equation of the required line is $y-y_1=m_1(x-x_1)$

$y-4=\frac{-1}{2}(x-2)\\2(y-4)=-1(x-2)\\2y-8=-x+2\\x+2y-8-2=0\\x+2y-10=0$

8 0

3 years ago

Graph the function y = |8 - 2x| + 3. Which is a point on the function? (6.2, 7.4) (7.8, 11.2) (8.6, 6.8) (9.6, 7.3)

Fiesta28 [93]

For this case we have the following function:
$y = | 8 - 2x | + 3
$
The first thing you should do is graph the function to see the behavior.
When observing the graph (in the attached image) we observe that the following point belongs to the graph:
$(6.2, 7.4)
$
To prove it, let's evaluate the point in the function:
$7.4 = l 8 - 2 (6.2) l + 3

7.4 = l 8 - 12.4 l + 3

7.4 = l -4.4 l + 3

7.4 = 7.4$
The equation is fulfilled and therefore the point belongs to the graph.
Answer:
(6.2, 7.4)
See attached image

8 0

2 years ago

How fast was a plane flying if it traveled 40 kilometers in 30 minutes

dangina [55]

Answer:

80 km/hr

Step-by-step explanation:

0.5 hour = 30 min

40 km in 30 min

80km in 60 min

4 0

2 years ago