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seraphim [82]
3 years ago
8

What is each expression written using each base only once​

Mathematics
1 answer:
Juli2301 [7.4K]3 years ago
3 0

Answer:

Step-by-step explanation:

7^(10-4+7) = 7^(6+7) = 7^13

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what is the equation of a line, in point-slope form, that passes through (5, -3) and has a slope of 2/3?
vredina [299]

Answer:

y+3 = (2/3)(x -5)

Step-by-step explanation:

The point-slope form is ...

... y - k = m(x -h) . . . . . for slope m, point (h, k)

You have m = (2/3), h = 5, k = -3. Putting these numbers into the formula gives ...

... y -(-3) = (2/3)(x - 5)

... y + 3 = (2/3)(x - 5) . . . . . . matches the last selection

8 0
4 years ago
A cottage has a gable roof. To the nearest foot, how wide is the cottage?A. 12 ftB. 24 ftC. 35 ftD. 70 ft
Sergio [31]

Answer: the answer is B: 24ft

Step-by-step explanation: To find how wide the triangle is identify your angles. You have a right angle which is equal to 90° and an angle that measures 46°. Add up both of these angles and you'll get 136°. A triangle can only have three angles that add up to 180. So subtract 180 and 136 you get 44. Multiply the hypotenuse by sin(46) to get the length of the side facing the opposite way of the angle that measures 44°. You will get 11.8 which is about 12. The other triangle is a congruent triangle meaning that it's angles and sides are the same. Add both 12's up and you have 24ft as your width for the cottage.

7 0
3 years ago
Find the factors of 9q²-45pq+8q-40p
Elina [12.6K]

Answer:

(x−5y)(9x+8)

Step-by-step explanation:

9x^2−45yx+8x−40y

Do the grouping 9x^2−45yx+8x−40y=(9x^2−45yx)+(8x−40y), and factor out 9x in the first and 8 in the second group.

9x(x−5y)+8(x−5y)

Factor out common term x−5y by using distributive property.

(x−5y)(9x+8)

5 0
3 years ago
What is the y-intercept of the function f(x)=4-5x
Sophie [7]

Answer:

the y intercept is 4

Step-by-step explanation:

f(x)=4-5x

rewrite

y = -5x+4

this is in the form y= mx+b where b is the y intercept

b = 4

6 0
3 years ago
14. Find the slope of the line passing through the points (8, 15) and (5,9).
gizmo_the_mogwai [7]

We have P_1(x_1,y_1)\to P_1(8,15) and P_2(x_2,y_2)\to P_2(5,9).

The slope is

m=\dfrac{\Delta{y}}{\Delta{x}}=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{9-15}{5-8}=\dfrac{-6}{-3}=\boxed{2}

Hope this helps.

7 0
3 years ago
Read 2 more answers
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