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Helga [31]
4 years ago
9

Find the x and y intercepts of the line 2x+7y= -14

Mathematics
1 answer:
VladimirAG [237]4 years ago
7 0
To do this make x and y equal 0, y-intercept is at x=0, and x-intercept is at y=0:
x-intercept:
2x+7(0) = -14
2x = -14
x = -7

y-intercept:
2(0) + 7y = -14
7y = -14
y = -2
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Find the length of side bc ab=6.3<br> And there is a angle of 71<br> Use CAH
Ghella [55]
<h2>Explanation:</h2><h2 />

The diagram for this problem is shown below. As you can see, we have a reference angle:

\theta=71^{\circ}

And an adjacent side that measures:

ab=6,3

Therefore, by CAH we can find side bc:

cos(\theta)=\frac{Adjacent \ side}{Hypotenuse}=\frac{ab}{bc} \\ \\ bc=\frac{ab}{cos(\theta)} \\ \\ bc=\frac{6.3}{cos(71^{\circ})} \\ \\ bc=\frac{6.3}{0.33} \\ \\ \boxed{bc=19.35}

5 0
3 years ago
Read 2 more answers
Samantha runs 3 miles every 2 days. How many days would it take her to run 24 miles
Olenka [21]

Answer:

16

Step-by-step explanation:

3 miles = 2 days

24 miles = ? days

24 / 3 = 8

8 x 2 = 16

3 0
3 years ago
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What is the value of x?
ziro4ka [17]

Answer:

x =12

Step-by-step explanation:

The exterior angle is equal to the sum of the opposite interior angles

30 + 4x+2 = 8+6x

Combine like terms

32 +4x = 8+6x

Subtract 4x from each side

32+4x-4x = 8+6x-4x

32 = 8+2x

subtract 8 from each side

32-8 = 8-8+2x

24 = 2x

Divide each side by 2

24/2 =2x/2

12 =x

5 0
4 years ago
A college has space for 580 students. The college estimates that 65% of the students who are admitted will attend the college. H
marshall27 [118]

Answer:

The number of students whom should be admitted is 377.

Step-by-step explanation:

Given:

College has space for 580 students.

The college estimates that 65% of the students who are admitted will attend the college.

Now, to find the number of students whom should be admitted.

Space for total number of students = 580.

Percentage of the students who are admitted = 65%.

Total number of students whom should be admitted = 65% of 580.

                                                     =\frac{65}{100}\times 580

                                                     =\frac{37700}{100}

                                                     =377.

Therefore, the number of students whom should be admitted is 377.

4 0
4 years ago
If i put $1500 into my savings account and earned $180.00 of interest at 4% simple interest, how long was my money in the bank
Leviafan [203]
That would be, 3 years.
5 0
3 years ago
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