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OlgaM077 [116]
1 year ago
9

PLEASE ITS MY LAST QUESTION

Mathematics
1 answer:
Serjik [45]1 year ago
4 0

Answer:

y =  -  \frac{1}{4} x - 10

Step-by-step explanation:

The negative reciprocal of 4 is -1/4.

Let's substitute in our values, to find the y-intercept:

y =  -  \frac{1}{4} x + c

- 11 =  - 1 + c

c =  - 10

Finally, our full equation is:

y =  -  \frac{1}{4} x - 10

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A friend has a 85% average before the final exam for a course. That score includes everything but the final, which counts for 15
Arlecino [84]

Answer:

87.25%

Step-by-step explanation:

Data given in the question

Before the final exam for a course, the average percentage is 85%

The counting percentage of the course grade is 15%

So by considering the above information, the best course grade your friend is

= Average\ percentage\times remaining\ percentage + percentage\ value\times counting\ percentage= 0.85\times 0.85 + 100\%\times  0.15

= 0.7225 + 15

= 87.25%

The remaining percentage is come from

= 100% - 15%

= 85%

Hence, the best course grade is 87.25%

7 0
3 years ago
Read 2 more answers
Which equation can be used to find the measure of angle gfe? cos−1(startfraction 14.5 over 11.9 endfraction) = θ cos−1(startfrac
nata0808 [166]

The equation that can be used to find the measure of angle GFE is given by: Option B: cos−1(11.9/14.5) = θ

<h3>What are the six trigonometric ratios?</h3>

Trigonometric ratios for a right angled triangle are from the perspective of a particular non-right angle.

In a right angled triangle, two such angles are there which are not right angled(not of 90 degrees).

The slant side is called hypotenuse.

From the considered angle, the side opposite to it is called perpendicular, and the remaining side will be called base.

From that angle (suppose its measure is θ),

\sin(\theta) = \dfrac{\text{Length of perpendicular}}{\text{Length of Hypotenuse}}\\\cos(\theta) = \dfrac{\text{Length of Base }}{\text{Length of Hypotenuse}}\\\\\tan(\theta) = \dfrac{\text{Length of perpendicular}}{\text{Length of base}}\\\\\cot(\theta) = \dfrac{\text{Length of base}}{\text{Length of perpendicular}}\\\\\sec(\theta) = \dfrac{\text{Length of Hypotenuse}}{\text{Length of base}}\\\\\csc(\theta) = \dfrac{\text{Length of Hypotenuse}}{\text{Length of perpendicular}}\\

The missing information, not present in this question are:

  • Length of FG = |FG| = 14.5
  • Length of FE = |FE| = 11.9
  • Angle ∠GFE = θ

Since for the triangle GFE, if we look from the angle ∠GFE, the sides given are hypotenuse FG and the base FE.

Thus, we can use cosine ratio, and then its inverse to find the value of angle θ.

Thus, we get:

\cos(\theta) = \dfrac{|FE|}{|FG|} = \dfrac{11.9}{14.5} \\\\\theta = \cos^{-1}\left(\dfrac{11.9}{14.5}\right)\\\\

Thus, the equation that can be used to find the measure of angle GFE is given by: Option B: cos−1(11.9/14.5) = θ

Learn more about inverse trigonometric functions here:

brainly.com/question/12551115

8 0
2 years ago
Find the equation of a line that passes through the point (-7,1) and has a slope of 4
riadik2000 [5.3K]
Y=4x+-7. The formula for slope intercept form is y+mx+b.
4 0
3 years ago
Find the least common denominator. <img src="https://tex.z-dn.net/?f=%5Cfrac%7B-7%7D%7B3y%7D%20%2C%20%5Cfrac%7B21%7D%7B7y%7D" id
Lina20 [59]

Answer:

21y

Step-by-step explanation:

Well, first take a look at what exactly an LCD is. You want the lowest common multiple of the denominators aka the bottoms of the fractions.

The two denominators you have are 3y and 7y. What multiplication or division can you do to make these two equal? Go through your multiples of 3 and 7 (think times tables) and see where they finally have one in common.

3, 6, 9, 12, 15, 18, 21, 24...

7, 14, 21, 28, 35...

So, between these two lists, we can see that the lowest multiple these two numbers have in common is 21. You could go higher and higher, but your question wants the lowest, so only 21 will do that for you. To make 3y and 7y equal, you need to multiply your first term by 7/7 and your second term by 3/3. If you do that, you'll see your least common denominator is 21y.

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3 years ago
Wich is more: 2 times as many numbers of 5 times as many as the same number?
djyliett [7]
2 times as many numbers
6 0
3 years ago
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