Answer:
15
Step-by-step explanation:
a^2+b^2=c^2
y^2+8^2=17^2
Step 1: Simplify both sides of the equation.
y^2+64=289
Step 2: Subtract 64 from both sides.
y^2+64−64=289−64
y^2=225
Step 3: Take square root.
y=15
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They are all prime numbers
Explanation:
There may be a more direct way to do this, but here's one way. We make no claim that the statements used here are on your menu of statements.
<u>Statement</u> . . . . <u>Reason</u>
2. ∆ADB, ∆ACB are isosceles . . . . definition of isosceles triangle
3. AD ≅ BD
and ∠CAE ≅ ∠CBE . . . . definition of isosceles triangle
4. ∠CAE = ∠CAD +∠DAE
and ∠CBE = ∠CBD +∠DBE . . . . angle addition postulate
5. ∠CAD +∠DAE ≅ ∠CBD +∠DBE . . . . substitution property of equality
6. ∠CAD +∠DAE ≅ ∠CBD +∠DAE . . . . substitution property of equality
7. ∠CAD ≅ ∠CBD . . . . subtraction property of equality
8. ∆CAD ≅ ∆CBD . . . . SAS congruence postulate
9. ∠ACD ≅ ∠BCD . . . . CPCTC
10. DC bisects ∠ACB . . . . definition of angle bisector
Answer:
y = - 2x - 13
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = - 2x - 5 ← is in slope- intercept form
with m = - 2, thus
y = - 2x + c ← is the partial equation of the line
To find c substitute (- 4, - 5) into the partial equation
- 5 = 8 + c ⇒ c = - 5 - 8 = - 13
y = - 2x - 13 ← equation of line
