The solution exist for the given equation are
x=-2
and
x=11/3
- Discriminant Formula: b² - 4ac, with a = x^2 coefficient, b = x coefficient, and c = constant
So firstly, using our equation plug in the values into the discriminant formula and solve as such:
(-7)² - 4 × 3 × 4
49 - 48
1
So our discriminant is 1. <u>Since 1 is positive and a perfect square, this means that there are 2 real, rational solutions.</u>
The picture shown is a unfolded rectangular prism.
The formula to find the surface area of a rectangular prism is:
A = 2(WL+HL+HW)
(W = width, L = Length, H= Height)
So we would need to determine the Height, Length, and Width first, and then plug them into the formula and solve for the area.
In this case:
The height is: 4 cm
The length is: 10.5 cm
The width is: 6.4 cm
Now that we have determined the height, length, and width, we simply plug them into the formula I showed earlier.
In this case the answer would be 269.6.
D. 269.6
The definition of similar triangles says that 2 triangles are similar if they have the same shape but different size. There are two criteria to check for this:
1) If all angles in one triangle are equal to the angles in another one, then the 2 are equal.
2) If the sides have the same proportions, then the 2 triangles are similar.
1) We have that all the angles of the 2 triangles have an equal angle in the other triangle. In specific, Q is matched to B, P to A and R to C. Hence, since corresponding angles are congruent, the two triangles are similar.
2) Here we are given information about the sides of the triangles, so we will check the second criterion. We form the ratio of the largest sides of each trangle and the shortest sides. 30/5=6. For the shortest sides, 18/3=6. Finally for the middle sides, 24/4=6. Hence, we have that the triangles are similar since the ratios are equal. (it doesn't matter whether we take the bigger or the smaller side as a numerator, as long as we are consistent).
Answer:
?=4
Step-by-step explanation:
?*(3+2)=12+8
?(5)=20
20/5=4
?=4
4*(5)=20
20=20
