Step-by-step explanation:
Equation of a line is y = mx + c
where
m is the slope
c is the y intercept
From the question the equation is
y = 4x − 11
Comparing with the general equation above
<h3>Slope = 4</h3><h3>y - intercept = - 11 or ( 0 , - 11)</h3>
Hope this helps you
Given that the total profit is <u>$2400.00</u> and he made <u>$30.00</u> in profit for each share.
Number of shares = $2400 ÷ 30 = 80
Answer: He bought 80 shares
Answer:
for of the vans will have 0.5 and ond will have 0.3
Step-by-step explanation:
AB = 6 cm, AC = 12 cm, CD = ?
In triangle ABC, ∠CBA = 90°, therefore in triangle BCD ∠CBD = 90° also.
Since ∠BDC = 55°, ∠CBD = 90°, and there are 180 degrees in a triangle, we know ∠DCB = 180 - 55 - 90 = 35°
In order to find ∠BCA, use the law of sines:
sin(∠BCA)/BA = sin(∠CBA)/CA
sin(∠BCA)/6 cm = sin(90)/12 cm
sin(∠BCA) = 6*(1)/12 = 0.5
∠BCA = arcsin(0.5) = 30° or 150°
We know the sum of all angles in a triangle must be 180°, so we choose the value 30° for ∠BCA
Now add ∠BCA (30°) to ∠DCB = 35° to find ∠DCA.
∠DCA = 30 + 35 = 65°
Since triangle DCA has 180°, we know ∠CAD = 180 - ∠DCA - ∠ADC = 180 - 65 - 55 = 60°
In triangle DCA we now have all three angles and one side, so we can use the law of sines to find the length of DC.
12cm/sin(∠ADC) = DC/sin(∠DCA)
12cm/sin(55°) = DC/sin(60°)
DC = 12cm*sin(60°)/sin(55°)
DC = 12.686 cm
Answer:
500 and 700
Step-by-step explanation:
It says '7 hundreds' referring to 700. and it then say the second number has 2 fewer, two fewer hundreds is 200. so the two numbers are 500 and 700.
