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marysya [2.9K]
3 years ago
10

Write an equation in point slope form of a line that passes through the given point and has the given slope.

Mathematics
1 answer:
maxonik [38]3 years ago
8 0

the equation of a line in point-slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

here m = - 2 and (a, b) = (2, 6), hence

y - 6 = - 2(x - 2) ← equation in point-slope form


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The body of a person who weighs 50 kilograms contains around 2 × 10^2 grams of sodium chloride. How much sodium chloride is cont
Aleksandr [31]

Answer:

Answer is A.3.6*10^{5}

Step-by-step explanation:

Mass of Sodium Chloride in one 50kg person = 2*10^{2} grams

Mass of Sodium Chloride in 1.8*10^{3} 50kg people = 2*10^{2} * 1.8*10^{3}

=(1.8*10^{3})*(2*10^{2})

=3.6*10^{5}

So the Answer is A.

8 0
3 years ago
The function f has the property that f(x)=f(x+1) for all numbers x. If f(4)=17, what is the value of f(8)?
Natalija [7]
If the condition holds true, then:
f(4) = f(5)
f(5) = f(6)
f(6) = f(7)
f(7) = f(8)

Thus,
f(4) = f(8)

f(8) = 17
3 0
3 years ago
The triangle and the trapezoid have the same area. Base b2 is twice the length of base b1. What are the lenghts of the bases of
Sati [7]

Answer:

<h2>The lengths of the bases of the trapezoid:</h2><h2>42/h cm and 84/h cm.</h2>

Step-by-step explanation:

The formula of an area of a triangle:

A=\dfrac{bh}{2}

<em>b</em><em> </em>- base

<em>h</em> - height

We have <em>b = 21cm, h = 6cm</em>.

Substitute:

A=\dfrac{(21)(6)}{2}=63\ cm^2

The formula of an area of a trapezoid:

A=\dfrac{b_1+b_2}{2}\cdot h

<em>b₁, b₂</em> - bases

<em>h</em><em> - </em>height

We have <em>b₁ = 2b₂</em>, therefore <em>b₁ + b₂ = 2b₂ + b₂ = 3b₂</em>.

The area of a triangle and the area of a trapezoid are the same.

Therefore

\dfrac{3b_2}{2}\cdot h=63         <em>multiply both sides by 2</em>

3b_2h=126          <em>divide both sides by 3</em>

b_2h=42         <em>divide both sides by h</em>

b_2=\dfrac{42}{h}

b_1=2b_2\to b_1=2\cdot\dfrac{42}{h}=\dfrac{84}{h}

8 0
2 years ago
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Casey has been running for 3 days
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Find the value of x in the Parallelogram
andriy [413]
x=127 that is because a rectangle equals 365 degrees and two sides have to be parallel so 53+53=106 and 365-106=254 and 254/2=127
7 0
3 years ago
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