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lyudmila [28]
2 years ago
10

Help me please!!!!!!!

Mathematics
1 answer:
weqwewe [10]2 years ago
4 0

Answer: 31

Step-by-step explanation:

The sum of all triangles is 180 degrees. If you add 116+33 you get 149. If you subtract 149 from 180 you get 31 degrees.

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If a line has a slope of 4 and contains the point (-2, 5), what is its equation in point-slope form?
Sveta_85 [38]

Answer:

The equation of the line is y = 4x + 13

Step-by-step explanation:

In this question, we want to write the equation of the line using the point slope form.

Mathematically, the point slope form can be represented as;

(y-y1) = m(x - x1)

where x1 = -2 , y1 = 5 and m which is the slope is 4

Plugging these values into the equation, we have;

(y-5) = 4(x - (-2))

y-5 = 4(x + 2)

y -5 = 4x + 8

y = 4x + 8 + 5

y = 4x + 13

8 0
3 years ago
When asked to write the domain for the equation y= |x - 6| + 3, Mary wrote the Domain is y < 3. What mistake(s) did Mary make
castortr0y [4]

Answer:

Ok, the domain is the set of values that we can input in a function.

In this case, we have:

y = Ix - 6I + 3.

Notice that there is no restriction here, x can actually take any value, then the domain will be the set of all real numbers.

The correct domain is x, x ∈ R

Now, if we had (for example) something like:

y = Ix - 6I < 3

Now we have a restriction in the domain because we can not have y equal or larger than 3.

To find the domain, we can break the absolute value:

Ix - 6I < 3

is equivalent to:

-3 < x - 6 < 3

now let's add 6 in each side.

-3 + 6 < x - 6 + 6 < 3 + 6

3 < x < 9

That will be the domain in that case.

6 0
2 years ago
Trey and Brandon each bought a new hockey stick for $80.
Gre4nikov [31]

Answer:

$4

Step-by-step explanation:

Trey sold his $80 hockey stick for 25% less. This means that he received 75% of the $80. Convert the percentage to a decimal, so it will be .75. Multiple .75 by $80 and you will get the final answer which is $60.

Brandon sold his $80 hockey stick for 30% less. This means that he received 70% of the $80. Convert the percentage to a decimal, so it will be .70. Multiple .70 by $80 and you will get the final answer which is $56.

Trey received $4 more for his hockey stick.

5 0
2 years ago
What are all the exact solutions of -3tan^2(x)+1=0? Give your answer in radians.
goldenfox [79]
   
\displaystyle\\&#10; -3\tan^2x + 1 = 0\\\\&#10; -3\tan^2x = -1\\\\&#10;\tan^2x =  \frac{-1}{-3} \\\\&#10;\tan^2x =  \frac{1}{3} ~~~~~ \Big|~\sqrt{~~~} \\\\&#10;\sqrt{\tan^2x} =  \sqrt{\frac{1}{3}} \\\\&#10;\tan x = \Big| \frac{1}{ \sqrt{3} } \Big|\\\\&#10;\tan x = \Big| \frac{\sqrt{3}}{ 3 } \Big|\\\\&#10;\tan x =  \frac{\sqrt{3}}{ 3 }~~~\Longrightarrow~~x_1=  \frac{\pi}{6} + k\pi,~~k \in N \\\\  &#10;\tan x =  -\frac{\sqrt{3}}{ 3 }~~~\Longrightarrow~~x_2=  \pi-\frac{\pi}{6} + k\pi = \frac{5\pi}{6} + k\pi,~~k \in N \\\\  &#10;



4 0
3 years ago
Read 2 more answers
Look at the ingredients to make honey biscuits. Work out how much of each ingredient is needed to make: a) 100 honey biscuits. b
Svetllana [295]

Answer:

look bellow

Step-by-step explanation:

100:

25x4=100

50x4=200g

75x4=300g

75x4=300g

100x4=400ml

40:

25x1.6=40

50x1.6=80g

75x1.6=120g

75x1.6=120g

100x1.6=160ml

6 0
3 years ago
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