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4 years ago

Write the equation of the line in slope-intercept form. 1. slope = 3, containing (3, -5)

1 answer:

3 0

Slope intercept form is y=mx+b. So the equation should be y=3x-14. If you plug it in to point-slope form, which is (y-y1)=m(x-x1), you get (y+5)=3(x-3).

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In the diagram below, BE is parallel to CD and m

zavuch27 [327]

Both angles are congruent and since opposite angles of a trapezoid = 180, s and t equal 108.

5 0

3 years ago

Three apples and 2 oranges cost $1.25, while 2 apples and an orange were 75 cents. At the rate, find the cost of 6 apples and an

Effectus [21]

X - apple
y - orange

$3x+2y=1.25\\
2x+y=0.75\\\\
3x+2y=1.25\\
-4x-2y=-1.5\\
--------\\
-x=-0.25\\
x=0.25\\\\
2\cdot0.25+y=0.75\\
0.5+y=0.75\\
y=0.25\\\\
6x+y=6\cdot 0.25+0.25=1.5+0.25=\boxed{1.75}$

3 0

3 years ago

What is the value of x in the equation 8x – 2y = 48, when y = 4

9966 [12]

Answer:

Seven(7)

Step-by-step explanation:

8x-2y=48

8x-2(4)=48

8x-8=48

8x=48+8

8x=56

Divide both sides by 8

8x/8=56/8

x=7

4 0

4 years ago

1. Sarah has an average of 92.5 for her 3 science tests. What does she need to make on the 4th test to get a 94% average.

zheka24 [161]

1) set up a problem
you know you want to get an avg of 94 but how do you do avg in the first place. you add up the numbers then divde by the total number of numbers used lol

so $\frac{92.5+x}{2}=94$
92.5 is the avg number for the last 3 tests
"x" is the 4th test score which we want to find out
"2" is the total number of numbers being added together

so now lets get x to one side

92.5+ x=94*2 (multiply 2 to both sides)
92.5+x=188
x=188-92.5 (subtract 92.5 from both sides)
x= 95.5 this is the score she need to make to avg 94%

2) you can draw a tree diagram. for example Flower1 branches off into 3 diff greens and then each of those greens branch off into 2 for with or with babies breath.

or you can simple multiply 4*3*2. you can do this because all choices are included with no restriction

your total number of options is 24

4 0

3 years ago

Find the value of sin(a/2) if cosa= 12/13<br>

daser333 [38]

Answer: sin $\frac{a}{2}$ = ± $\frac{1}{\sqrt{26} }$

Step-by-step explanation:

We very well know that,

cos2A=1−2sin²A

⟹ sinA = ± $\sqrt{(1-} \frac{cos2A}{2} )$

As required, set A = $\frac{a}{2}$ & cos a= $\frac{12}{13}$ ,thus we get

sin $\frac{a}{2}$ =± $\sqrt{\frac{1-cos a}{2} }$

∴ sin $\frac{a}{2}$ =± $\sqrt{\frac{1-\frac{12}{13} }{2} }$ = ± $\frac{1}{\sqrt{26} }$

since ,360° < $\frac{a}{2}$ <450°

,180° < $\frac{a}{2}$ <225°

Now, we are to select the value with the correct sign. It's is obvious from the above constraints that the angle a/2 lies in the III-quadrant where 'sine' has negative value, thus the required value is negative.

hope it helped!

5 0

3 years ago