The frame is at each side of the picture so the area is (25 + 2x) times (32 +2x), (which multiplies out to 4x^2 + 114x + 800 square inches). ie if the frame <span>is an inch and a half wide then the area is 28 x 35 sq ins, ie 980 sq ins.</span>
Y = -2x + 5 is parallel to line as the slopes ( = -2) are the same.
the other 2 lines are nether parallel or perpendicular
Answer:y=4x+6
Step-by-step explanation:
We have the information that the slope is 4 and the line goes through the point (-2,-2). With this information, we can make a linear equation in a point slope form (
, so the equation would be 
, or simplified, 
in order to solve for y (to make it a slope-intercept equation), we must subtract 2 from both sides. This gives us the equation y=4x+6. Hope this helps!
Answer:
c
Step-by-step explanation:
1 + tan²theta = sec²theta
tan²theta = 3² - 1
tan²theta = 8
tan theta = sqrt(8)
Positive because Quadrant 1
sqrt(8) = sqrt(4×2) = sqrt(4)×sqrt(2)
= 2×sqrt(2)
a. 3 × 10^0
b. 33. 6 × 10^0
c. 57. 6 × 10^2
d. 4. 0 × 10^-7
e. 7. 0 × 10^-1
<h3>What is scientific notation?</h3>
Scientific notation is simply a way of expressing numbers that are too large or small to be written in decimal form.
It may be referred to as standard index form or scientific form.
From the information given, we have;
a. 0. 000003 is written in standard form as;
= 3 × 10^-6 × 3 × 10^6
= 3 × 10^-6 + 3
= 3 × 10^0
= 3
b. 56, 000, 000. 00 is written in standard form as;
= 5. 6 × 10^7 × 6 × 10^-7
= 33. 6 × 10^7 -7
= 33. 6 × 10^0
= 33. 6
c. 8. 0 × 10^-3 × 7. 2 × 10^5
= 57. 6 × 10^-3 + 5
= 57. 6 × 10^2
d. 4. 0 × 10^-3 × 4. 0 × 10^-4
= 4. 0 ^ -3 +(-4)
= 4. 0 × 10^-7
e. 7. 0 × 10^3 × 7. 0 × 10^4
= 7. 0 × 10^ 3-4
= 7. 0 × 10^-1
Thus, scientific notation is also referred to as standard form.
Learn more about scientific notation here:
brainly.com/question/27862246
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