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2 years ago

1.

Mathematics

1 answer:

Rainbow [258]2 years ago

4 0

Answer:

B. y = -2/3x + 11/3; y - 1 = 3/2(x-4)

Step-by-step explanation:

I had this same question on Gradpoint on the quiz.

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at a highschool, the length of a class period is 40 minutes. What is the length, in hours, of a class period at the high school?

Viktor [21]

Answer:

2/3 hours

Step-by-step explanation:

40 minutes = 40/60 = 2/3 hours

4 0

3 years ago

Can you solve 4 + 2/3 x = -5 in fraction form?

guapka [62]

Answer:

$\frac{-27}{2} = (-13)(\frac{1}{2})$

Step-by-step explanation:

The given equation is 4 + 2/3 x = -5

Taking variable on one side and constants on other side, we get

$-9 = (\frac{2}{3})(x)$

$x = (\frac{3}{2})(-9) = \frac{-27}{2} = (-13)(\frac{1}{2}) = -13.5$

The number in decimal form is given by -13.5

The number in fraction form is given as $\frac{-27}{2} = (-13)(\frac{1}{2})$

3 0

3 years ago

Write the equation of the line with a slope of 1/6 that contains (12,-7)

tatiyna

$\bf (\stackrel{x_1}{12}~,~\stackrel{y_1}{-7})~\hspace{10em} slope = m\implies \cfrac{1}{6} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-(-7)=\cfrac{1}{6}(x-12) \\\\\\ y+7=\cfrac{1}{6}x-2\implies y=\cfrac{1}{6}x-9$

6 0

2 years ago

Read 2 more answers

How many terms are in the arithmetic sequence shown below? 15, 7, -1, -9...,-225

NemiM [27]

We know that

We can write an Arithmetic Sequence as a rule:

an = a1 + d(n−1)

where

a1 = the first term
d =the "common difference" between terms

in this problem
a1=15 a2=7 a3=-1 a4=-9 ..... an=-225
d=a2-a1
d=7-15-----> d=-8

an = a1 + d(n−1)
for
an=-225
d=-8
a1=15
find n
-225=15+(-8)*(n-1)--> (n-1)=[-225-15]/-8----> n-1=30---> n=30+1---> n=31

the answer is
31

3 0

3 years ago

A.) 170 B.) 300 C.)280 D.)155 Please help me

pav-90 [236]

Answer:

Step-by-step explanation:

The formula for this is

∠G = 1/2(arcEH - arcHF)

We have angle G (5x - 10) and we have arcEH (195) so we have to solve for x to find the measure of arcEHF so we can add arcEH + arcHF = arcEHF

Filling in the formula with what we have:

$5x-10=\frac{1}{2}(195-(8x+17))$

which simplifies down a bit to

$5x-10=\frac{1}{2}(195-8x-17)$ which simplifies down a bit more to

$5x-10=\frac{1}{2}(178-8x)$ Multiply both sides by 2 to get rid of the fraction and get:

2(5x - 10) = 178 - 8x which of course simplifies to

10x - 20 = 178 - 8x. Now add 8x to both sides and at the same time add 20 to both sides to get:

18x = 198 so

x = 11. Now we can find the measure of arcHF:

arcHF is 8x + 17, so arcHF is 8(11) + 17 which is 105°.

arcEH + arcHF = arcEHF so

195 + 105 = arcEHF so

arcEHF = 300°

6 0

3 years ago