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dusya [7]
2 years ago
14

The slope of a line is 7/10 . One point on the line has coordinates (1, 2). Which ordered pair represents another point on the l

ine?
Mathematics
1 answer:
mash [69]2 years ago
7 0
(x,y)

y=mx+b
m=slope
b=yintercept
slope=7/10
one point is (1,2) or x=1, then y=2
find b
y=7/10x+b
2=7/10(1)+b
2=7/10+b
minus 7/10 both sides
1 and 3/10=b
13/10=b
y=7/10x+13/10
input values for x and get values for y
one point is (0,13/10)
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How many centigram are equal to 9.95 milligram
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0.995 centigram

Step-by-step explanation:

divide the mass value by 10

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Order this fraction from largest to smallest<br> 1/4, 1/2, 1/5, 1/3, 1/6
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If a:b=5:7 and b:c=6:12, then a:b:c<br>​
uranmaximum [27]

Step-by-step explanation:

A/B=5/7 , B/C=6/12

Taking B=12×7=84, we get

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60:84:42. Answer

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2 years ago
There are five consecutive odd integers. The sum of the three smallest is 3 more than the sum of the two largest. Find the integ
lys-0071 [83]

Answer:

The answer is "\bold{11, \ 13, \ 15, \ 17, \ 19}".

Step-by-step explanation:

In word problem, it is solved by 2k+1, among the most common forms of even an, unlike number.

Let another odd integer become 2k+1.....(a)

(2K+1)+(2k+3)+(2k+5)=(2k+7)+(2k+9)+3(to take the left side 3 extra)  

Quality for the k:

\to 6k+ 9 = 4k +19 \\\\\ \to 6k-4k= 19+9 \\\\ \to 2k = 10 \\\\ \to k = \frac{10}{2}\\\\  \to K = 5

put the value of k, in the equation (a):

\to 2k+1 \\ \to 2(5)+ 1 \\ \to 10 + 1\\\to 11\\

There are also 11, 13, 15, 17, and 19 episodes.  

Let's test it! Let's test it. 11+13+15=39  

17+ 19 = 36.  

So we're right, the first 3 integer numbers are 3 more than the last 2.

5 0
3 years ago
Select the correct answer.
Sati [7]

The given quadratic equation gives the parameters of the shape of the

graph of the equation.

  • The graph that is most likely associated with the model is; <u>graph B</u>

Reasons:

The given function is <u>n(t) = -2.82·t² + 25.74·t + 60.87</u>

by analyzing the above function, we have;

At t = 0

n(0) = -2.82 × 0² + 25.74 × 0 + 60.87 = 60.87

  • The x-coordinate of the maximum point is given by \displaystyle x = -\frac{b}{2 \cdot a}

Which gives;

\displaystyle t = -\frac{25.74}{2 \times (-2.82)} \approx 4.564

The maximum value of the function is therefore;

n(4.564) = -2.82 × 4.564² + 25.74 × 4.564 + 60.87 ≈ 119.61

The characteristics of the equation are;

Initial value of equation = 60.87

t-coordinate of the maximum point, t ≈ 4.564

Maximum value of the of the function = 119.61

By comparing with the given graphs, we have;

  • \begin{tabular}{c|c|c|}&Graph A&Graph B\\Initial value&100&75\\t-value at max point&7&4\\Maximum value&200&125\end{array}\right]

Therefore, the graph that will most likely be associated with the model is; <u>graph </u><u><em>B</em></u>.

Learn more about graphs of quadratic equations here:

brainly.com/question/10989920

4 0
2 years ago
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