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2 years ago

Find the gradients of line a and b

Mathematics

1 answer:

gayaneshka [121]2 years ago

5 0

Answer:

Gradient of A: 2

Gradient of B: -1

Step-by-step explanation:

Gradient = change in y/change in x

✔️Gradient of A using two points on line A, (2, 5) and (0, 1):

Gradient = (1 - 5)/(0 - 2) = -4/-2

Simplify

Gradient of A = 2

✔️Gradient of B using two points on line B, (0, 5) and (5, 0):

Gradient = (0 - 5)/(5 - 0) = -5/5

Simplify

Gradient of B = -1

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Lines sand tare perpendicular. If the slope of line sis 5, what is the slope of<br> line t?

Sveta_85 [38]

Answer:

-1/5

Step-by-step explanation:

Perpendicular lines have slopes that are the opposite reciprocal of one another.

The slope of line t is the opposite reciprocal of the slope of line s:

slope of t = -1/(slope of s)

slope of t = -1/5

6 0

3 years ago

Solve kx + 8 = 4 for x.

Harlamova29_29 [7]

K×x+8=4
k×x=4-8
k×x=-4
x=-4/k

7 0

2 years ago

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PLZ HELP ME:Evaluate: What is the value of the expression -5(3 + 4)?

almond37 [142]

Answer:

-35

Step-by-step explanation:

PEMDAS

7 0

2 years ago

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A particular brand of tires claims that its deluxe tire averages at least 50,000 miles before it needs to be replaced. From past

Volgvan

Answer: We reject the null hypothesis, and we use Normal distribution for the test.

Step-by-step explanation:

Since we have given that

We claim that

Null hypothesis : $H_0:\mu\geq 50000$

Alternate hypothesis : $H_1:\mu$

There is 5% level of significance.

$\bar{X}=46800\\\\\sigma=9800\\\\n=29$

So, the test statistic would be

$z=\dfrac{\bar{X}-\mu}{\dfrac{\sigma}{\sqrt{n}}}\\\\z=\dfrac{46800-50000}{\dfrac{9800}{\sqrt{29}}}\\\\z=-1.75$

Since alternate hypothesis is left tailed test.

So, p-value = P(z≤-2.31)=0.0401

And the P-value =0.0401 is less than the given level of significance i.e. 5% 0.05.

So, we reject the null hypothesis, and we use Normal distribution for the test.

4 0

3 years ago

Please help :((((((

Alik [6]

Answer: c)

Step-by-step explanation:

This can be done through trial-and-error. Use the pythagoreas' theorem $a^{2} +b^{2} =c^{2}$ and if the left side of the equation is equal to the right, that is the answer.

(Do take note that c is the longest side.)

$0.07^{2} +2.4^{2} =5.7649$

$2.5^{2}=6.25$

Since $2.5^{2} \neq 5.7649$ , a) is wrong.

$17^{2} +30^{2} =1189\\
34^{2} =1156$

Since $34^{2}\neq1189$ , b) is wrong.

c) (answer)

$5^{2} +12^{2} =169\\13^{2} =169$

Since $13^{2} =169$ , c) is correct.

$(7x)^{2} +(12x)^{2} =193x^{2}\\(13x)^{2} =169x^{2}$

Since $(13x)^{2} \neq193x^{2}$ , d) is wrong.

5 0

1 year ago