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wel
2 years ago
13

Is x = -7, the solution to -11 + 2x = -26? Justify your answer in complete sentences.

Mathematics
1 answer:
Natali5045456 [20]2 years ago
4 0
First of all, you can move the +2x to the other side:
-11 = -26 - 2x

Then you can move the -26 to the other side and then simplify:
-11+26 = -2x
 15 = -2x

Then you can divide both sides by 2:
7.5 = -x

Then you can flip the sides and the signs around:
x = -7.5

No, The answer is not -7, it is -7.5
Hope this helps! :)
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Write the equation of the line in slope-intercept form using y=mx+b​
natta225 [31]

Answer:

y = 4x + 4

Step-by-step explanation:

Two points you can see on the graph are (0,4) and (-2,-4)

Now, to find the slope, use delta y/ delta x

(-4-4)/(-2-0)

(-8)/(-2) = 4

Slope is 4.

y = 4x + b

Now, to find b, we need the y-intercept, which is the point where x is 0 and the graph crosses the y-axis.

This value is 4. So, the y-intercept is 4

Substitute into your equation

y = 4x + 4

6 0
2 years ago
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A circle is shown. 4 radii are drawn. Chords are drawn to connect the radii points on the circle to form 2 triangles. The triang
Rashid [163]

Answer:

Area of Shaded Region = (25π - 24) cm²

Step-by-step explanation:

See attachment

From the attached, the following observations are made;

Radius, r = 5cm

Base of triangles = 6cm.

Required

Area of shaded region.

If the distance between the base of the triangle to the outline of the circle is 1cm then the height of the triangle is 1cm less than the radius

Height = 5cm - 1cm

Height = 4cm

To calculate the area of the shaded region, we first calculate the area of the circle.

Area = πr²

Substitute 5 for r

Area = π * 5²

Area = π * 25

Area = 25π cm²

Then we calculate the area of both triangles

Area of 1 triangle is calculated as follows.

Area = ½ * base * height

Substitute 4 for height and 6 for base.

Area = ½ * 4 * 6

Area = 2 * 6

Area = 12cm²

Since both triangles are equal.

Area of two triangles = 2 * Area of 1 triangle

Area = 2 * 12cm²

Area = 24cm²

Having calculated the area of the circle and that of both triangles.

Area of shaded region = Area of Circle - Area of Triangles

Area of Shaded Region = 25π cm² - 24 cm²

Area of Shaded Region = (25π - 24) cm²

3 0
3 years ago
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attashe74 [19]
The Least Common Multiple is 60
4 0
3 years ago
if my goal is 27,729,350 and i get 150 closer every minute and 15 seconds how long is it going to take me to get to my goal
oksano4ka [1.4K]

Answer: 13,864,675 seconds

Step-by-step explanation:

I minute 15 seconds = 75 seconds

That means it takes 75 seconds to achieve 150 , and it takes x seconds to achieve 27,729,350. Interpreting this in proportion form , we have:

150 ------ 75 seconds

27,729,350 ------- x seconds

Then

150x = 27,729,350 X 75

150x = 2,079,701,250

x =  2,079,701,250 / 150

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That means it takes 13,864,675 seconds to achieve the goal , converting this to minutes, we have:

231,077.9 minutes

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Answer:

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Step-by-step explanation:

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