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3 years ago

What is the y-intercept of y = 2/3x + 2? (There is no picture shown)

Mathematics

1 answer:

andreyandreev [35.5K]3 years ago

6 0

Answer:

2 is the y-intercept. This is a y=mx+b. This is a linear equation so your m is your slope. The b is the y-intercept. The b is 2 making 2 your y-intercept.

It is 0,2.

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If you have $23 and you spend $5 on a sandwich, drink, and chips, what fraction of your money did you spend?

Sliva [168]

Answer:

Step-by-step explanation:

23 - 100

5 - X

23x= 500

x=21%

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3 years ago

Read 2 more answers

Karen paid $43.70 for a book. The price of the book was $40. What was the sales tax rate?

Korolek [52]

9.25%

3.70/40= 0.0925

0.0925x100= 9.25%

7 0

3 years ago

Read 2 more answers

Please help with 3. 4. 5.

Eddi Din [679]

3.
$\text{The Triangle Sum Theorem:}\\m\angle A+m\angle B+m\angle C=180^o$
$x+2x-1+3x+1=180\\6x=180\ \ \ |:6\\x=30$
$x^o=30^o\\(3x+1)^o=(3\cdot30+1)^o=91^o\\(2x-1)^o=(2\cdot30-1)^o=59^o$
4.
$r-6+3r-3+5r=180\\9r-9=180\ \ \ |+9\\9r=189\ \ \ |:9\\r=21$
$(r-6)^o=(21-6)^o=15^o\\(3r-3)^o=(3\cdot21-3)^o=60^o\\(5r)^o=(5\cdot21)^o=105^o$
5.
$\text{The Exterior Angle Theorem:}\\m\angle CAB+m\angle ABC=m\angle DCB$
$2g+9g=110\\11g=110\ \ \ |:11\\g=10$
$m\angle A=2\cdot10^o=20^o\\m\angle ACB=180^o-110^o=70^o\\m\angle B=9\cdot10^o=90^o$

4 0

3 years ago

20.) A=49.23 degrees, c=54.8Solve the right triangle. Express angles in decimal degrees.

vivado [14]

$\begin{gathered} a=41.50 \\ b=35.78 \\ B=40.76\text{ \degree} \\ \end{gathered}$

Explanation

Step 1

a) let

$\begin{gathered} A=49.23\text{ \degree} \\ c=54.8\text{ \degree} \end{gathered}$

b) b value

to find the measure of side b we can use cosine function

$\begin{gathered} cos\theta=\frac{adjacent\text{ side}}{hypotenuse} \\ replace \\ cos\text{ 49.23=}\frac{b}{54.8} \\ b=54.8*cos49.23 \\ b=35.78 \end{gathered}$

c) angle B

to find the measure of Angle B we can use sine function

$\begin{gathered} sin\theta=\frac{opposite\text{ side}}{hypotenuse} \\ replace \\ sin\text{ B=}\frac{35.78}{54.8} \\ sin\text{ B= 0.65}\Rightarrow inverse\text{ function to isolate B} \\ B=\sin^{-1}(0.65) \\ B=40.76 \end{gathered}$

d) side a

$\begin{gathered} sin\theta=\frac{opposite\text{ side}}{hypotenuse} \\ sin\text{ A=}\frac{a}{c}=\frac{\placeholder{⬚}}{\placeholder{⬚}} \\ sin\text{ 49.23=}\frac{a}{54.8} \\ multiply\text{ both sides by 54.8} \\ 54.8s\imaginaryI n\text{49.23=}\frac{a}{54.8}*54.8 \\ 41.50=a \end{gathered}$

so, the answer is

$\begin{gathered} a=41.50 \\ b=35.78 \\ B=40.76\text{ \degree} \\ \end{gathered}$

I hope this helps you

7 0

1 year ago

2nd question :) please help quick

marysya [2.9K]

Answer:

look id k which ans u want I m telling both

#5 such number could be <em><u>0</u></em> becoz it is not whole integer or positive

#6 there could be many numbers like

8.67676767.....

8.111111111111

etc....

4 0

3 years ago