Answer:
20
Step-by-step explanation:
h(-7) just means that inside the x value, you replace the x with a -7.
h(-7) = |3x| - 1
h(-7) = | 3(-7)| - 1
h(-7) = | -21 | - 1
NOTE: -21 is inside |x|, those straight lines mean absolute value. No matter what, any negative number would turn into a positive one. And if it’s posititve, then it stays positive.
h(-7) = 21 - 1
h(-7) = 20
Multiply the first equation by 2
2x + 2y =30
now we’ll add the second equation to the first equation
2x + 2y =30
-2x+5y= -2
7y=28
divide by 7
y=4
now plug y back into the first equation
x + 4 = 15
subtract 4
x=11
Answer:
x=c+b/a
Step-by-step explanation:
ax-b=c
+b +b
ax=c+b
__ ___
a=c+b/a
Answer:
Equation → 5y = 3y + 6
Value of ST = 15
Step-by-step explanation:
From the picture attached,
In right triangles ΔVST and ΔVUT,
Acute angles ∠SVT ≅ ∠UVT [Given]
TV ≅ TV [By reflexive property of congruence]
ΔVST ≅ ΔVUT [Hypotenuse angle congruence of right triangles]
Therefore, corresponding parts of the congruent triangles are congruent.
Therefore, ST ≅ TU
5y = 3y + 6
5y - 3y = 6
2y = 6
y = 3
Therefore, ST = 5y
ST = 5(3)
= 15
Answer:
is isosceles.
Step-by-step explanation:
Please have a look at the attached figure.
We are <u>given</u> the following things:
Let us try to find out 
and 
. After that we will compare them.
<u>Finding </u><u>:</u>
Side EG is a straight line so 
is sum of internal and external 
<u>Finding </u><u>:</u>
<u>Property of external angle:</u> External angle in a triangle is equal to the sum of two opposite internal angles of a triangle.
i.e. external = 
Comparing equations (1) and (2):
It can be clearly seen that:
The two angles of are equal hence is isosceles.
