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Tems11 [23]
3 years ago
5

A straight line passes through the origin and has a gradient of 4. Find the equation

Mathematics
1 answer:
oee [108]3 years ago
6 0

Answer:

y = 4x

Step-by-step explanation:

The slope is 4.

The line passes through (0, 0).

Equation of a line y = mx + b, m is the slope, and b is the y-intercept.

y = 4x + b

Put x and y as 0.

0 = 4(0) + b

0 = b

The y-intercept is 0.

The equation of the line is y = 4x.

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Write the prime factorization for 168
11Alexandr11 [23.1K]
168|2\\.\ 84|2\\.\ 42|2\\.\ 21|3\\.\ \ 7|7\\.\ \ 1|\\\\168=2\cdot2\cdot2\cdot3\cdot7
7 0
4 years ago
In a store, a sample of 60 pens was selected from a box of 1,200 pens. Of these 60, 4 pens did not work. About how many pens cou
Lapatulllka [165]
Ok so if 1200 total pens and 60 were taken that's a ratio of 1200/60=20

out of 60pens 4 didn't work, again ratio is 4/60=1/15 so about 1/15 of the pens didn't work. 

so we have 1200pens * 1/15broken ratio = 80 pens or we can say 

20*4=80pens won't work from 20 groups of 60 and 4 out of 60 not working is 20*4=80 not working from total batch of 1200.

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3 0
3 years ago
a box contains 5 plain pencils and 5 pens. a second box contains 7 color pencils and 5 crayons. one item from each box is chosen
Ket [755]
First box: \dfrac{pen}{total}=\dfrac{5}{10}=\dfrac{1}{2}

Second box: \dfrac{crayon}{total}=\dfrac{5}{12}

Multiply them:

\dfrac{1}{2}*\dfrac{5}{12}=\dfrac{5}{24}

The probabilityis \dfrac{5}{24}
5 0
3 years ago
Solve for x. Assume that segments that appear to be tangent are tangent. Round your final answer to the nearest tenth, if necess
Butoxors [25]

Answer:

x= 16.6

Step-by-step explanation:

The circle is unnecessary. You can just use Pythag Theorem

so

9^2+14^2= c^2

81 + 196 = 277

square root 277

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round to the nearest tenth...

16.6

6 0
3 years ago
Given △XPS≅△DNF, find the values of x and y.
White raven [17]

Answer:

x = 3

y = 15

Step-by-step explanation:

If △XPS ≅△DNF, their corresponding sides would be congruent. This implies that:

XP ≅ DN

PS ≅ NF

XS ≅ DF

Given that:

XP = 4y - 3

DN = 57

NF = 51

XS = 17x + 3

DF = 54

Therefore:

XP = DN

4y - 3 = 57 (Substitution)

Add 3 to both sides

4y = 57 + 3

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Divide both sides by 4

y = 60/4

y = 15

Also,

XS = DF

17x + 3 = 54 (substitution)

Subtract 3 from each side

17x = 54 - 3

17x = 51

Divide both sides by 17

x = 51/17

x = 3

4 0
3 years ago
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