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mestny [16]
4 years ago
7

Function rule and y intercept

Mathematics
1 answer:
stiks02 [169]4 years ago
6 0

to get the equation for any straight line, all we need is two points from it, so hmmm say from this table let's use (2,0) and (6,-8)

\bf \begin{array}{|r|r|r|r|r|r|} \cline{1-6} days&x&2&4&6&8\\ \cline{1-6} dollars&y&0&-4&-8&-12\\ \cline{1-6} \end{array}~\hfill (\stackrel{x_1}{2}~,~\stackrel{y_1}{0})\qquad (\stackrel{x_2}{6}~,~\stackrel{y_2}{-8}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-8}-\stackrel{y1}{0}}}{\underset{run} {\underset{x_2}{6}-\underset{x_1}{2}}}\implies \cfrac{-8}{4}\implies \cfrac{\stackrel{rise}{-2}}{\underset{run}{1}}\implies \stackrel{slope}{-2}

\bf \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{0}=\stackrel{m}{-2}(x-\stackrel{x_1}{2}) \\\\\\ \stackrel{~\hfill y-intercept}{y=-2x\stackrel{\downarrow }{+4}}\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}

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Answer:

7 mugs

Step-by-step explanation:

Assuming bowls equal same amt of clay as a mug.

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3 years ago
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Find the measure of UT answer choice - 65 51 70 55​
muminat

Answer:

Option (4)

Step-by-step explanation:

If two chords intersect outside the circle, angle formed between the chords will be half of the sum of measures of intercepted arcs.

From the given picture,

m(\angle RQS)=\frac{1}{2}(m\hat{RS}+m\hat{UT})

95° = \frac{1}{2}(135+m\hat{UT})

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Therefore, option (4) will be the correct option.

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Use the commutative property to create equivalent expressions. Which expressions are equivalent to 2.2t + 3.5 + 9.8? Check all t
aev [14]

The answer is:

3.5 + 2.2t + 9.8 (Option 1).

9.8 + 3.5 + 2.2t (Option 4).

2.2t + 9.8 + 3.5 (Option 5).

The explanation for this answer is shown below:

1. The commutative property of addtion establishes that if you change the order of the addends, the sum will not change.

2. Let's say that a and b are real numbers, Then they can added them to obtain a result c:

a+b=c

3. If you change the order, you will obtain the same result:

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3 years ago
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If anyone can help me to solve this.​
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Answer:

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Step-by-step explanation:

<u>Consecutive Interior Angles Theorem</u>

When a transversal line intersects two parallel lines, it forms two pairs of consecutive angles on either side of the transversal line.  Each pair of consecutive interior angles are supplementary (sum to 180°).

<u>Question 1</u>

To find the measure of the angle, find the value of x by using the Consecutive Interior Angle Theorem:

⇒ (x + 96)° + (x + 96)° = 180°

⇒ x + 96 + x + 96 = 180

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Substitute the found value of x into the expression to find the measure of the angle indicated in bold:

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<u>Question 2</u>

To find the measure of the angle, find the value of x by using the Consecutive Interior Angle Theorem:

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2 years ago
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