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miv72 [106K]
2 years ago
12

1. Write an equation for a line that has a slope of 4 and passes

Mathematics
1 answer:
marishachu [46]2 years ago
8 0

Answer:

y = 4x+23

Step-by-step explanation:

The slope intercept form of a line is

y = mx+b where m is the slope and b is the y intercept

y = 4x+b

Substitute the point into the equation

7 = 4(-4)+b

7 = -16+b

Add 16 to each side

7+16 = b

23 = b

y = 4x+23

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Before beginning voice lessons, Chad already knew how to sing 805 pieces, and he expects
NeTakaya

Let's create an equation to find the # of weeks until Chad learns 937 pieces.

x = # of weeks

937 = 2x + 805

Subtract 805 from both sides.

132 = 2x

Divide both sides by 2

66 = x

Chad will need 66 weeks of lessons to learn 937 pieces.

4 0
3 years ago
determine if it can be proven that the triangles are congruent if they are the choose a theorem that proves its congruent ​
Lostsunrise [7]

Answer:

These triangles are congruent by SAS

Step-by-step explanation:

They share the same angle which is in the same angle which is the vertical angle with congruent sides on either side of the angle, therefore this is congruent by SAS.

7 0
2 years ago
The function f(x)=2^x and g(x)=f(x+k). If k=-5,what can be concluded about the graph of g(x)?
melamori03 [73]
\bf ~~~~~~~~~~~~\textit{function transformations}
\\\\\\
% templates
f(x)=  A(  Bx+  C)+  D
\\\\
~~~~y=  A(  Bx+  C)+  D
\\\\
f(x)=  A\sqrt{  Bx+  C}+  D
\\\\
f(x)=  A(\mathbb{R})^{  Bx+  C}+  D
\\\\
f(x)=  A sin\left( B x+  C  \right)+  D
\\\\
--------------------

\bf \bullet \textit{ stretches or shrinks horizontally by  }   A\cdot   B\\\\
\bullet \textit{ flips it upside-down if }  A\textit{ is negative}\\
~~~~~~\textit{reflection over the x-axis}
\\\\
\bullet \textit{ flips it sideways if }  B\textit{ is negative}\\
~~~~~~\textit{reflection over the y-axis}
\\\\
\bullet \textit{ horizontal shift by }\frac{  C}{  B}\\
~~~~~~if\ \frac{  C}{  B}\textit{ is negative, to the right}

\bf ~~~~~~if\ \frac{  C}{  B}\textit{ is positive, to the left}\\\\
\bullet \textit{ vertical shift by }  D\\
~~~~~~if\   D\textit{ is negative, downwards}\\\\
~~~~~~if\   D\textit{ is positive, upwards}\\\\
\bullet \textit{ period of }\frac{2\pi }{  B}

with that template in mind

\bf f(x)=2^x\qquad 
\begin{cases}
g(x)=f(x+k)&k=5\\
\qquad\quad f(x+5)\\
\qquad \quad 2^{x+5}
\end{cases}

notice, in g(x)

B = 1, no change from parent

C= +2



8 0
3 years ago
Read 2 more answers
I need the value of X that has the same area please help
Svetllana [295]

Answer:

x = 10

Step-by-step explanation:

To find the value of x that will make the area of both figures to be equal, set the expression for the area of one figure equal to the other.

Thus:

(x + 5)×12 = x × 18

Solve for x

12x + 60 = 18x

Subtract 12x from each side

12x + 60 - 12x = 18x - 12x

60 = 6x

Divide both sides by 6

60/6 = 6x/6

10 = x

x = 10

8 0
2 years ago
I have to order from least to greatest pls help
ExtremeBDS [4]
Hi there!

First let's multiply the fraction 1/4 x 3/3. This will give us all of the same denominators. Now, we have 6 3/12, 5 5/12, and 6 1/12. Since the lowest number is 5, we know that 5 5/12 is the smallest value. Then, we see that we have two 6's left. Since 3/12 is bigger than 1/12, we know that 6 1/12 comes after 5 5/12. Lastly, 6 3/12 is the greatest.

ORDER: 
5 - 5/12, 6 - 1/12, 6 - 3/12

Hope this helps!! :)
If there's anything else that I can help you with, please let me know!
3 0
3 years ago
Read 2 more answers
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