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2 years ago

What is the slope of the line that passes through the points (10,6) and (9,5)? Write

Mathematics

2 answers:

Sophie [7]2 years ago

5 0

Answer: Slope = y2−y1/ x2 - x1

5 - 6 / 9 - 10

-1/ -1

= 1

VMariaS [17]2 years ago

4 0

Answer:

Step-by-step explanation:

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a pool shaped like a rectangle prism is 40 feet long, 20 feet wide, and 4 deep. attached to the side of the pool is a hot tub wi

lubasha [3.4K]

Lets start with finding the volume of the pool

The formula for the volume of a rectangular prism is

V=l*w*h where l=length w=width and h=height
plug in the data we know
V=40*20*4
V=3200ft³

Now for the hot tub.

3200ft³*1/4=800ft³

Add the volumes together
3200+800=4000ft³

Answer=4000ft³

6 0

3 years ago

Pleaseee helppp due in 4 minutesssss!!!!

pentagon [3]

Answer:

45 x 5 + 12 x 1,800

Step-by-step explanation:

5 0

3 years ago

Given 5 + 2 = 7, Choose the related addition sentence that shows the commutative property of addition.

Serggg [28]

2+5 = 7 is <span>the related addition sentence that shows the commutative property of addition because it has the same result of addition as 5+2=7.
Commu</span><span>tative property of addition says that if we have two numbers we have interchange them and this doesnot affect the result....</span>

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3 years ago

Number 17 pls help me it’s my last question plss

Sonbull [250]

Answer:

Step-by-step explanation:

7 0

4 years ago

Amir throws a stone off of a bridge into a river. The stone's height (in meters above the water) ttt seconds after Amir throws i

Harrizon [31]

Answer:

1) The vertex form of $h(t) = -5\cdot t^{2}+20\cdot t +160$ is $h -180 = -5\cdot (t-2)^{2}$ , 2) The stone reaches its maximum height 2 seconds after being thrown.

Step-by-step explanation:

1) Given that height of the stone is represented by a second-order polynomial, which depicts a parabola as graph. The best approach to determine the instant when stone reaches its highest is by vertex form, whose form is:

$h-k = C\cdot (t-r)^{2}$

Where:

$r$ , $k$ - Instant and maximum height of the stone, measured in seconds and meters.

$C$ - Vertex constant, which must be negative as there is an absolute maximum, measured in meters per square second.

Let be $h(t) = -5\cdot t^{2}+20\cdot t +160$ , which is transformed into vertex form:

i) $h = -5\cdot t^{2}+20\cdot t +160$ Given

ii) $h = -5\cdot (t^{2}-4\cdot t -32)$ Distributive property/ $(-a)\cdot b = -a\cdot b$

iii) $h = -5\cdot [(t^{2}-4\cdot t +4)+(-36)]$ Existence of additive inverse/Definitions of addition and subtraction

iv) $h = (-5)\cdot (t-2)^{2}+180$ Distributive property/ $(-a)\cdot (-b) = a\cdot b$ /Perfect square binomial

v) $h -180 = -5\cdot (t-2)^{2}$ Compatibility with addition/Existence of additive inverse/Modulative property/Definition of subtraction/Result

The vertex form of $h(t) = -5\cdot t^{2}+20\cdot t +160$ is $h -180 = -5\cdot (t-2)^{2}$ .

2) The time can be extracted from previous results, which indicates that stone reaches its maximum height 2 seconds after being thrown.

4 0

3 years ago