A^2 - 49 solve the equation by factoring
Answers
Answer:
7.
Step-by-step explanation:
To solve the equation a^2 - 49 by factoring, we can use the difference of squares formula. The difference of squares formula states that a^2 - b^2 can be factored as (a + b)(a - b).
In this case, a^2 - 49 can be rewritten as (a + 7)(a - 7).
By setting each factor equal to zero, we can solve for a:
a + 7 = 0
a = -7
a - 7 = 0
a = 7
Therefore, the solutions to the equation a^2 - 49 = 0 are a = -7 and a = 7.
Answer:(A+7)(A−7)
Step-by-step explanation:
Since both terms are perfect squares, factor using the difference of squares formula, a2−b2=(a+b)(a−b) where a=A and b=7.
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Answers
Answers
160-100=60
60:100
6:10
3:5
The ratio is 3 girls to 5 boys
If it rains, then I use an umbrella, and if I use an umbrella, then it is raining.
a. If I use an umbrella, then it is raining.
b. If my umbrella is broken, then it is not raining.
c. I use an umbrella, if it rains.
d. I use an umbrella if and only if it rains.
Answers
Answer:
Your answer would be D.
I use an umbrella if and only if it rains.
Trust me on this it makes a lot of since
Answers
Solving Steps:
1. Solve for x
40-4x=50-8x
-4x+8x=50-40
4x=10
x=2.5
2. Find <1 and <2
40-4(2.5)
40-10
=30
Answers
Answer:
x = - 2
Step-by-step explanation:
Given
y = 4x² + 16x - 18
with a = 4, b = 16 , then the equation of the axis of symmetry is
x = - = -
= - 2
Answers
Answer:
Step-by-step explanation:
To find the measure of angle DBC, we can use the angle bisector theorem, which states that in a triangle, if a line bisects one of the angles, it divides the opposite side into segments proportional to the other two sides. In this case, BD bisects angle ABC, so:m∠ABD / m∠DBC = AB / BCWe are given:
m∠ABC = 8x
m∠ABD = 2x + 30So, we have:(2x + 30) / m∠DBC = AB / BCNow, we need to express AB / BC in terms of x. To do that, we'll use the fact that angles in a triangle add up to 180 degrees:m∠ABC + m∠ABD + m∠DBC = 180Substitute the given angle measures:8x + (2x + 30) + m∠DBC = 180Combine like terms:10x + 30 + m∠DBC = 180Now, isolate m∠DBC:m∠DBC = 180 - 10x - 30
m∠DBC = 150 - 10xNow, we can substitute this expression for m∠DBC back into our proportion:(2x + 30) / (150 - 10x) = AB / BCNow, you can solve for m∠DBC:Cross-multiply:(2x + 30)(BC) = (150 - 10x)(AB)Now, you would need more information about the relationship between AB and BC or additional angle measures to solve for the exact value of m∠DBC. Without that additional information, you can't determine the specific angle measure.