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Ksivusya [100]
3 years ago
14

8

Mathematics
1 answer:
skelet666 [1.2K]3 years ago
8 0

Answer:

The required equation of the line is y = [x]+2

Step-by-step explanation:

From the graph shown, we can see that the line dotted points forms a straight line. We are to find the required equation of the line formed.

The formula for calculating the equation of a straight line is expressed as y = mx+b where

m is the slope b is the y-intercept

<u>Get the slope 'm'</u>

m=\frac{y_2-y_1}{x_2-x_1}

Using the coordinate points (2, 0) and (4, 2)

m=\frac{2-0}{4-2}\\m=\frac{2}{2}\\m=1

<u>Get the y-intercept 'b'</u>

Substitute m = 1 and (2, 0) into y = mx+b as shown;

2=1(0)+b\\2=0+b\\b=2

Get the required equation. Recall that y = mx+b, hence;

y = 1x + 2\\y=x+2

The expression can also be written as  y = [x]+2

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Zach's chemistry textbook weighs 2/3 of a pound and his geometry textbook weighs 1/3 of a pound. How much more does the chemistr
gizmo_the_mogwai [7]
2/3 lb. - 1/3 lb. = 1/3 lb.
check: 1/3 lb. + 1/3 lb. = 2/3lb
ANSWER 》1/3 lb. MORE
5 0
3 years ago
Water continuously moves between ____________ and _____________ parts of an ecosystem. Question 1 options: Biotic, Autotrophs Ab
borishaifa [10]

Answer:

Biotic, Abiotic

Step-by-step explanation:

Interconnected pathways through which water is recycled through the biotic and abiotic components of the biosphere.

The water cycle is driven by the Sun’s energy. The sun warms the ocean surface and other surface water, causing liquid water to evaporate and ice to sublime—turn directly from a solid to a gas. These sun-driven processes move water into the atmosphere in the form of water vapor.

Over time, water vapor in the atmosphere condenses into clouds and eventually falls as precipitation, rain or snow. When precipitation reaches Earth's surface, it has a few options: it may evaporate again, flow over the surface, or percolate—sink down—into the ground.

In land-based, or terrestrial, ecosystems in their natural state, rain usually hits the leaves and other surfaces of plants before it reaches the soil. Some water evaporates quickly from the surfaces of the plants. The water that's left reaches the soil and, in most cases, will begin to move down into it.

In general, water moves along the surface as runoff only when the soil is saturated with water, when rain is falling very hard, or when the surface can't absorb much water. A non-absorbent surface could be a rock in a natural ecosystem or asphalt or cement in an urban or suburban ecosystem.

Water evaporates to form the ocean surface and forms clouds by condensation. Water in clouds may fall as precipitation over either the land or the sea. Clouds formed over the sea may move over the land. When rain falls over the land, it may flow along the surface, infiltrate the soil—move into it from above ground—and percolate through the soil, moving downward to become groundwater. Groundwater in upper levels may flow into rivers, lakes, or oceans. Water near the soil surface may be taken up by plants and move out of their bodies through transpiration from the leaves. Snowmelt runoff and sublimation of snow and ice are other processes that contribute to the water cycle.

Water evaporates to form the ocean surface and forms clouds by condensation. Water in clouds may fall as precipitation over either the land or the sea. Clouds formed over the sea may move over the land. When rain falls over the land, it may flow along the surface, infiltrate the soil—move into it from above ground—and percolate through the soil, moving downward to become groundwater. Groundwater in upper levels may flow into rivers, lakes, or oceans. Water near the soil surface may be taken up by plants and move out of their bodies through transpiration from the leaves. Snowmelt runoff and sublimation of snow and ice are other processes that contribute to the water cycle.

Image credit: The water cycle by NOAA National Weather Service Jetstream, CC BY 2.0

Water in the upper levels of the soil can be taken up by plant roots. Plants use some of the water for their own metabolism, and water that's in plant tissues can find its way into animals’ bodies when the plants get eaten. However, most of the water that enters a plant's body will be lost back to the atmosphere in a process called transpiration.

4 0
3 years ago
In parallelogram ABCD, points E and F are the midpoints of side AB and BC, respectively. A F meets DE at G and BD at H. What is
patriot [66]

Answer:

The area of the quadrilateral B-H-G-E is 7

Step-by-step explanation:

The area of the parallelogram = 60  

It can be shown that ΔG-D-F = 3/10 × Area of the parallelogram S = 3/10×S

Because the diagonal B-D shares A-F into the ratio 1:2, the ΔH-D-A = 2/3×ΔD-B_A  where ΔD-B_A = 1/2·S, therefore, ΔD-B_A = 2/3×1/2×S = 1/3×S

ΔB-F-H is similar to ΔD-B_A scaled to 1/2,

Therefore;

The area of ΔB-F-H = 1/4×Area of ΔD-B_A = 1/4×1/3×S = 1/12×S,

ΔF-C-D = 1/4×S

ΔE-A-D = 1/4×S

The area of the quadrilateral B_H_G_E found as follows;

Area B_H_G_E  = S - (ΔF-C-D + ΔG-D-F +ΔE-A-D +ΔB-F-H)

Area B_H_G_E  = S - (1/4×S + 1/10×S +1/4×S +1/12×S) = S - 53/60×S = 7/60×S

Whereby we are given that the area, S of the parallelogram AB-CD = 60 we have;

Area B_H G_E  = 7/60×60 = 7

8 0
4 years ago
The number of students who ride the school bus is 110% of the number of students who walk. How many students ride the school bus
Mama L [17]

Answer:

506

Step-by-step explanation:

5 0
3 years ago
Solve for x. -14 = -7/3x Simplify your answer as much as possible. Plz Plz help quick!! (:
omeli [17]

x = 32.7

-14 = 7/3x

-14 * 7 = 3x

98 = 3x

98/3 = 3x/3

32.666667= x

32.7 = x

Hope that helped :)

7 0
3 years ago
Read 2 more answers
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