Hello!
We can solve this by using substitution
we can plug y = x - 1 into the other equation
So 2x - 3( x - 1) = -1
We can distribute the -3 to (x - 1)
2x - 3x + 3 = -1
Combine like terms
-x + 3 = -1
Subtract 3 from both sides
-x = -4
Since x is negative we can multiply both sides by -1
x = 4
We can plug x into the first equation
y = (4) - 1
y = 3
The answers are x = 4 and y = 3
Hope this helps!
Answer:
Figure D
Step-by-step explanation:
we know that
If the scale factor of the dilation is 1/2, that means the dilation is a reduction
so
the answer is between the Figure C and Figure D
but
a rotation of 180° eliminate the Figure C
therefore
The answer is the Figure D
Answer:
C.
Step-by-step explanation:
1) the slope-interception form of the given line is:
y=s*x+i, where s - the slope, i - interception;
according to the condition it is
y=1/8*x+i;
2) if to substitute the coordinates of the given point (-10;4) into the slope-interception form, then:
4=1/8* (-10)+i, ⇒ i=21/4;
the equation of the given line is:
y=1/8*x+21/4
3) according to the condition the given point with the coordinates (-6;w) belongs to the line. It means, it is possible to substitute its coordinates into the equation, then calculate the value of the 'w':
w=1/8*(-6)+21/4; ⇒ w=9/2.
Answer C. 9/2
Note: the suggested option is not the only.
<em>a = 30°</em>
<em>b = 70°</em>
<em>c = 80°</em>
- Step-by-step explanation:
<em>Hi there ! </em>
<em />
<em>a ; b ; c = angles</em>
<em>a + b + c = 180°</em>
<em>b + c = 5a</em>
<em><u>replace (b + c)</u></em>
<em>a + (b + c) = 180</em>
<em>a + 5a = 180</em>
<em>6a = 180</em>
<em>a = 30°</em>
<em />
<em>b + c = 180 - a</em>
<em>b + c = 150</em>
<em>c = b + 10</em>
<em><u>replace c</u></em>
<em>b + (b + 10) = 150</em>
<em>2b = 150 - 10</em>
<em>2b = 140</em>
<em>b = 70°</em>
<em>c = b + 10</em>
<em>c = 80°</em>
<em>Good luck !</em>
