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Karolina [17]
2 years ago
15

The temperature was -5 degrees at 5:00 am. After 2 hours, the temperature increased by 39 degrees. What was the temperature at 7

:00 am?
Mathematics
1 answer:
Nesterboy [21]2 years ago
5 0

Answer: 34 degrees

Step-by-step explanation:

The starting temperature was -5 degrees at 5am, and after two hours, the temperature was 34 degrees at 7am. The temperature increased by 39 degrees, how did we get this answer?

You add -5 and 39

-5 + 39 = 34

A tip for adding negatives:

When you get a problem similar to -5 + 39, you can actually flip them around if you need an easier understanding. So it would be 39 - 5. Both equations still equal 34 as long as you keep the values of each number!

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MariettaO [177]

\qquad\qquad\huge\underline{{\sf Answer}}

Let's find out the gradient (Slope " m ") of line q ;

\qquad \sf  \dashrightarrow \:m = \dfrac{y_2 - y_1}{x_2 - x_1}

\qquad \sf  \dashrightarrow \:m = \dfrac{4 - 0}{0 - 1}

\qquad \sf  \dashrightarrow  \:m =  - 4

Now, since we already know the gradient let's find of the equation of line by using its Slope and one of the points using point slope form of line :

\qquad \sf  \dashrightarrow \:y - 4 = m(x - 0)

\qquad \sf  \dashrightarrow \:y = mx + 4

Now, plug in the value of gradient ~

\qquad \sf  \dashrightarrow \:y =  - 4x + 4

here we can clearly observe that, the Area under the curve can easily be represented as :

\qquad \sf  \dashrightarrow \:y <  - 4x + 4

Since, all the values of y that lies in the shaded region is smaller than the actual value of y for the corresponding values of x in the equation of line q

5 0
2 years ago
Parallel to y=−3/4x, through (4, -1)
kolbaska11 [484]

Answer:

y=-\frac{3}{4}x+2

Step-by-step explanation:

The slope-intercept form is given by y=mx+c, where m is the slope and c is the y-intercept.

Slope of given line= -\frac{3}{4}

Parallel lines have the same slope. Thus, the slope of the line would also be -\frac{3}{4}.

y=-\frac{3}{4}x +c

The value of c can be found by substituting a pair of coordinates.

When x= 4, y= -1,

-1=-\frac{3}{4} (4)+c

-1= -3 +c

<em>Add 3 to both sides:</em>

c= -1 +3

c= 2

Thus, the equation of the line is \bf{y=-\frac{3}{4}x+2.

Additional:

Do check out the following for a similar question on slope-intercept form!

  • brainly.com/question/25549430
7 0
2 years ago
3(2x-1)=5x+3+7x I do t get this cause I’m stupid
DiKsa [7]

Answer:

x = -1

Step-by-step explanation:

Solve for x:

3 (2 x - 1) = 7 x + 5 x + 3

Grouping like terms, 7 x + 5 x + 3 = (5 x + 7 x) + 3:

3 (2 x - 1) = (5 x + 7 x) + 3

5 x + 7 x = 12 x:

3 (2 x - 1) = 12 x + 3

Expand out terms of the left hand side:

6 x - 3 = 12 x + 3

Subtract 12 x from both sides:

(6 x - 12 x) - 3 = (12 x - 12 x) + 3

6 x - 12 x = -6 x:

-6 x - 3 = (12 x - 12 x) + 3

12 x - 12 x = 0:

-6 x - 3 = 3

Add 3 to both sides:

(3 - 3) - 6 x = 3 + 3

3 - 3 = 0:

-6 x = 3 + 3

3 + 3 = 6:

-6 x = 6

Divide both sides of -6 x = 6 by -6:

(-6 x)/(-6) = 6/(-6)

(-6)/(-6) = 1:

x = 6/(-6)

The gcd of 6 and -6 is 6, so 6/(-6) = (6×1)/(6 (-1)) = 6/6×1/(-1) = 1/(-1):

x = 1/(-1)

1/(-1) = -1:

Answer: x = -1

7 0
3 years ago
Find the coordinates of the three points on the graph of y = (1/2)x² -2x whose x-values are −2, 0, and 4.
MaRussiya [10]

Answer:

y = 6

y = 0

y = 0

Step-by-step explanation:

y=\frac{1}{2}x² -2x

When, x = -2

y=\frac{1}{2}\times (-2)^2-2\times(-2)\\\Rightarrow y=\frac{1}{2}4+4\\\Rightarrow y=2+4\\\Rightarrow y=6

y = 6

When, x = 0

y=\frac{1}{2}\times (0)^2-2\times(0)\\\Rightarrow y=0+0\\\Rightarrow y=0

y = 0

When, x = 4

y=\frac{1}{2}\times (4)^2-2\times(4)\\\Rightarrow y=\frac{1}{2}16-8\\\Rightarrow y=8-8\\\Rightarrow y=0

y = 0

3 0
3 years ago
Given that <br> x<br> = 7.7 m and <br> θ<br> = 52°, work out AC rounded to 3 SF.
Helen [10]

Answer:

The answer is 12.5cm

Step-by-step explanation:

cos 52= 7.7/AC

AC= 7.7/ cos 52

AC= 12.5

8 0
2 years ago
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