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olganol [36]
3 years ago
13

Write an equation in slope intercept form with the slope as 1/3 and the point (-3,4)

Mathematics
1 answer:
Georgia [21]3 years ago
6 0

Answer:

y = \frac{1}{3}x + 5

Step-by-step explanation:

Slope (m) = 1/3

(-3 , 4)

y - y1 = m(x -x1)

y - 4 = (1/3) (x - [-3])

y - 4 = \frac{1}{3}(x + 3)\\\\y - 4 = \frac{1}{3}x + \frac{1}{3}*3\\\\y - 4 = \frac{1}{3}x + 1\\\\      y = \frac{1}{3}x + 1 + 4\\\\      y = \frac{1}{3}x + 5

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Can anyone solve this triangle?
kirill [66]

Answer:

Step-by-step explanation:

a^2+6^2 = 23^2

a^2 = 23^2 - 6^2

a^2 = 529 - 36

a^2 = 493

a = √493

a = 22,20

7 0
3 years ago
AB and CD are straight line segments.
frutty [35]

Answer:

<h2>i) Angle AOC is 95° </h2>

Reason:- Angle AOC is equal to Angle DOB since they are Vertically Opposite Angles.

<h2>ii) Angle BOC is 85°</h2>

Reason:- Angle AOC + Angle BOC - 180° (they lie in a straight line so they are a linear pair. Sum of the angles will be 180°)

Angle AOC is 95°, So:-

95° + Angle BOC = 180°

Angle BOC= 180° - 95°

<h3><u>Angle BOC = 85°</u></h3>

<u></u>

<h2>iii) Angle DOE is 17°</h2>

Reason:- Angle AOE+ Angle DOE+ Angle DOB = 180° (they lie in a straight line so they're a linear pair. Sum of the angles will be 180°)

So,

68° + Angle DOE+ 95° = 180°

163° + Angle DOE = 180°

Angle DOE= 180° - 163°

<h3><u>Angle DOE is 17°</u></h3>
5 0
3 years ago
What is the area of the triangle in centimeters squared?​
vekshin1
112 centimeters squared

Explanation:
The formula for area of a triangle is:
1/2 • base • height

REMEMBER, use the height that is perpendicular to the base. If not, your answer will be wrong

Use formula with given dimension of this triangle:
1/2 • 14 • 16 = 112

FINAL ANSWER WITH UNIT OF MEASURMENT:
112 centimeters squared

Have a nice day, hope this helps!
5 0
3 years ago
Same-side interior angles always add
AleksAgata [21]

THEOREM:

<u>Same Side Interior Angles Theorem</u>:– If two parallel lines are cut by a transversal, then the same side interior angles are supplementary.

ANSWER:

By same side interior angles theorem,

∠4 + 123° = 180°

∠4 = 180° - 123°

∠4 = 57°.

8 0
2 years ago
7. Find the missing lengths of the sides
Aleonysh [2.5K]

Answer:

a = b = 12 feet.

Step-by-step explanation:

An isosceles right triangle always has its sides in the ratio 1:1:√2.

7 0
2 years ago
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