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Andrei [34K]
2 years ago
11

Please help with question 10

Mathematics
1 answer:
Ray Of Light [21]2 years ago
4 0

Answer:

equation of the line is y=x+1

Step-by-step explanation:

the equation of a line has the form y = mx + b

while m is for the slope and b is for the y-intercept.

you can see from the graph that the line intercepts the y-axis at y=1 this is the b.

you can get the slope of the graph by taking two points from the graph lets say (1, 2) and (3, 4) then using this formula:

<h2>m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }</h2>

in our case it will be:

m=\frac{4-2}{3-1} = \frac{2}{2}=1

then just substitute the values for m and b.

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2 angles measure 40 degrees each, what does the third angle measure? what type of triangle is it?
zimovet [89]

Answer:

Part a): 100 degrees

Part b): Isosceles Triangle

Step-by-step explanation:

Part a): Since the angle measures of all triangles add up to 180 degrees and since the other two angles are 40 degrees, which add up to 80, we can use subtraction to find the answer.

180 - 80 = 100

Part b): Since only two of the three angles in this triangle have the same measure, we can find that it is an isosceles triangle, with base angles measuring 40 degrees, and the vertex angle being 100 degrees.

3 0
2 years ago
Need help with this khan academy question. Plus minus square root of negative nine equals plus or minus
klemol [59]

Answer:

3i

Step-by-step explanation:

3i x 3i = -9

-3i x -3i = -9

Therefore the square root of -9 is 3i or -3i

3 0
3 years ago
A vat with 700 gallons of beer contains 4% alcohol (by volume). Beer with 6% alcohol is pumped into the vat at a rate of 7 gal/m
dolphi86 [110]

Answer:

5.2%.

Step-by-step explanation:

After 1 hour (60 / 100) * 700 = 420 gallons of beer have been exchanged.

So we have 420 gallons of 6%  and 280 gallons of 4% after 1 hour.

So the strength at that time =  (420* 6) + 280*4) / 700

= 5.2%.

6 0
3 years ago
PLEASE ANSWER ASAP Find the slope of the line
miskamm [114]

Answer:

4

Step-by-step explanation:

Slope is \frac{rise}{run}. Or, in other words the distance it travels in the y direction divided by the distance it travels in the x direction. Each time the y variable increments +4 and the x variable increments +1. Which means the line rises 4 units every time it runs 1 unit.

Slope=\frac{rise}{run}=\frac{4}{1}=4

3 0
3 years ago
If f(x-3)=x^2-4x+5, what's f(1-x)​
olganol [36]

Answer:

\large\boxed{f(1-x)=x^2-4x+5}

Step-by-step explanation:

f(x-3)=x^2-4x+5\\\\f((x-3)+3)\to\text{put x + 3 to the equation of the function:}\\\\f(x-3+3)=(x+3)^2-4(x+3)+5\\\text{use the distributive property and}\ (a+b)^2=a^2+2ab+b^2\\f(x)=x^2+2(x)(3)+3^2+(-4)(x)+(-4)(3)+5\\f(x)=x^2+6x+9-4x-12+5\qquad\text{combine like terms}\\f(x)=x^2+(6x-4x)+(9-12+5)\\f(x)=x^2+2x+2\\\\f(1-x)\to\text{put 1 - x to the equation of the funtion f(x):}\\\\f(1-x)=(1-x)^2+2(1-x)+2\\\text{use the distributive property and}\ (a-b)^2=a^2-2ab+b^2

f(1-x)=1^2-2(1)(x)+x^2+(2)(1)+(2)(-x)+2\\f(1-x)=1-2x+x^2+2-2x+2\qquad\text{combine like terms}\\f(1-x)=x^2+(-2x-2x)+(1+2+2)\\f(1-x)=x^2-4x+5

4 0
3 years ago
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