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Lera25 [3.4K]
4 years ago
13

A student is trying to solve the set of two equations given below:

Mathematics
1 answer:
lions [1.4K]4 years ago
8 0
Equation A : x + z = 6
Equation B : 2x + 3z = 1

Possible step used in eliminating in  z-term.

Multiply equation A by -3.

-3(x +z) = -3(6)
-3x - 3z = -18

-3x - 3z = -18
 <u>2x + 3z =   1</u>
-x           = -17
<u>÷ -1           ÷ -1
</u>x             = 17
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Find the diameter of each circle.
Vedmedyk [2.9K]

Answer:

<em>Diameter Length: ( About ) 5.4 km; Option B</em>

Step-by-step explanation:

~ Let us apply the Area of the Circle formula πr^2, where r ⇒ radius of the circle ~

1. We are given that the area of the circle is 22.9 km^2, so let us substitute that value into the area of the circle formula, solving for r ( radius ) ⇒ 22.9 = π * r^2 ⇒ r^2 = 22.9/π ⇒ r^2 = 7.28929639361.... ⇒

<em>radius = ( About ) 2.7</em>

2. The diameter would thus be 2 times that of the radius by definition, and thus is: 2.7 * 2 ⇒ ( About ) 5.4 km

<em>Diameter Length: ( About ) 5.4 km</em>

5 0
3 years ago
The equation shows the relationship between x and y:
aliina [53]
The pattern of a linear function, is the following:

y  = mx + b

Where m is always the slope.

m in this case is -4, hence

The correct answer for your question is -4.
8 0
4 years ago
Read 2 more answers
A map uses a scale of 3/4 in = 80 miles. If two buildings are 60 miles apart in real life, how far apart would they be drawn on
Alla [95]

Given:

The scale of a map is \dfrac{3}{4}\ in=80\ miles.

The distance between two buildings is 60 miles.

To find:

The distance between the given building on the map.

Solution:

We have,

\dfrac{3}{4}\ in=80\ miles

It means, 80 miles in real life = \dfrac{3}{4}\ in on the map.

1 mile in real life = \dfrac{3}{4\times 80}\ in on the map.

60 mile in real life = \dfrac{3\times 60}{4\times 80}\ in on the map.

                              = \dfrac{180}{320}\ in on the map.

                              = \dfrac{9}{16}\ in on the map.

Therefore, the buildings are \dfrac{9}{16}\ in apart on the map.

7 0
3 years ago
If ?/100 = 0.2 then ? =
Olegator [25]

Answer:

20

Step-by-step explanation:

x / 100 = 0.2

Multiply both sides by 100 to isolate x. 100 x 0.2 = 20

5 0
3 years ago
Read 2 more answers
Which expression is equivalent to -11 - (-7)?
snow_lady [41]

Answer:

d

Step-by-step explanation:

=-4

5 0
3 years ago
Read 2 more answers
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