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sergejj [24]
3 years ago
7

Please help ​What is the equation of a line with a slope of ​ ​ −4 ​ ​ and a point ​ (−2, 5) ​ on the line?

Mathematics
2 answers:
podryga [215]3 years ago
8 0

Answer:

all is work is shown and pictured

goldfiish [28.3K]3 years ago
5 0

The point-slope form:

y-y_1=m(x-x_1)

We have m = -4 and the point (-2, 5). Substitute:

y-5=-4(x-(-2))

y-5=-4(x+2)      <em>use distributive property</em>

y-5=(-4)(x)+(-4)(2)

y-5=-4x-8      <em>add 5 to both sides</em>

\boxed{y=-4x-3}

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Write a decimal that is 1/10 of 0.9
Mkey [24]

The <em>correct answer</em> is:

0.09

Explanation:

First off, we can write 0.9 as a fraction. Reading this, we would say "nine tenths"; this means the number in fraction form is 9/10.

The word "of" in mathematics means we multiply. Thus when we take 1/10 "of" 9/10, we multiply the two:

1/10(9/10)

To multiply fractions, multiply the numerators and multiply the denominators:

1/10(9/10) = (1*9)/(10*10) = 9/100

Converting this back to a decimal, we read 9/100 as "nine one-hundredths"; this means decimal form is 0.09.

6 0
3 years ago
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Solve for x.<br><br> 18 ÷ x = -2<br><br> x = _____
Eddi Din [679]

Answer:

-9

Step-by-step explanation:

18÷x = -2

18 = -2×x

18 = -2x

-9 = x

x = -9

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s344n2d4d5 [400]

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19 square millimeter

Step-by-step explanation:

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The 400ths power of number is 9^1000 what is the number
chubhunter [2.5K]
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4 0
3 years ago
Check all that apply. If csc =13/5 , then:
nirvana33 [79]

Answer:

The answer are the options B and C

sin(x)=\frac{5}{13}

tan(x)=\frac{5}{12}

Step-by-step explanation:

we know that

csc(x)=\frac{1}{sin(x)}

In this problem we have

csc(x)=\frac{13}{5}

substitute

\frac{13}{5}=\frac{1}{sin(x)}

solve for sin(x)

sin(x)=\frac{5}{13}

cos^{2}(x)+sin^{2}(x)=1

substitute the value of sin(x) and solve for cos(x)

cos^{2}(x)+(\frac{5}{13})^{2}=1

cos^{2}(x)=1-(\frac{5}{13})^{2}

cos^{2}(x)=(\frac{13^{2}-5^{2}}{13^{2}})

cos^{2}(x)=(\frac{144}{13^{2}})

cos^{2}(x)=(\frac{12^{2}}{13^{2}})

cos(x)=(\frac{12}{13})

The function tangent is equal to

tan(x)=\frac{sin(x)}{cos(x)}

substitute the values

tan(x)=\frac{(5/13)}{(12/13)}=5/12

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3 years ago
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