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Novay_Z [31]
3 years ago
11

7 X 8 -3×2. His work is below .​

Mathematics
1 answer:
Andrei [34K]3 years ago
5 0

Answer:50

Step-by-step explanation: I took the test

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What is the equation of the line if the line passes through (4, 4) and the y-intercept is −4.​
tresset_1 [31]

Y = mx+c

m is the gradient and c is the y-intercept so

4 = m(4) + (-4)

4 = 4m - 4

4m = 8

m = 2

Ans: Y = 2x - 4

3 0
3 years ago
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Based on a sample survey, a principal claims that 7 out of 10 students like math. If there are 1300 students, how many would you
horsena [70]

Answer:

390

Step-by-step explanation:

find the fraction of those that don't like math

10/10 - 7/10= 3/10

then do 3/10 x 1300 to get 390

5 0
3 years ago
What is the equation of a quadratic graph with a focus of (-4,17/8) and a detric of y=15/8 answer
Nonamiya [84]

keeping in mind that the vertex is between the focus point and the directrix, in this cases we have the focus point above the directrix, meaning is a vertical parabola opening upwards, Check the picture below, which means the "x" is the squared variable.

now, the vertical distance from the focus point to the directrix is \bf \cfrac{17}{8}-\cfrac{15}{8}\implies \cfrac{2}{8} , which means the distance "p" is half that or 1/8, and is positive since it's opening upwards.

since the vertex is 1/8 above the directrix, that puts the vertex at \bf \cfrac{15}{8}+\stackrel{p}{\cfrac{1}{8}}\implies \cfrac{16}{8}\implies 2 , meaning the y-coordinate for the vertex is 2.

\bf \textit{vertical parabola vertex form with focus point distance} \\\\ 4p(y- k)=(x- h)^2 \qquad \begin{cases} \stackrel{vertex}{(h,k)}\qquad \stackrel{focus~point}{(h,k+p)}\qquad \stackrel{directrix}{y=k-p}\\\\ p=\textit{distance from vertex to }\\ \qquad \textit{ focus or directrix}\\\\ \stackrel{"p"~is~negative}{op ens~\cap}\qquad \stackrel{"p"~is~positive}{op ens~\cup} \end{cases} \\\\[-0.35em] ~\dotfill

\bf \begin{cases} h=-4\\ k=2\\ p=\frac{1}{8} \end{cases}\implies 4\left(\frac{1}{8} \right)(y-2)=[x-(-4)]^2\implies \cfrac{1}{2}(y-2)=(x+4)^2 \\\\\\ y-2=2(x+4)^2\implies \blacktriangleright y = 2(x+4)^2+2 \blacktriangleleft

7 0
3 years ago
helpppp plsss What shape is created by the rotation around the given axis "a"? Prism Cone Pyramid Sphere
coldgirl [10]

Answer:

Option (2)

Step-by-step explanation:

From the picture attached,

When the given shape is rotated about the axis 'a',

Triangle ABC forms a 3-D figure of a cone.

Segment AB is the diameter of the circular base and CD is the height of the cone.

Therefore, Option (2) CONE will be the answer.

3 0
3 years ago
A quadrilateral is a parallelogram only if both pairs of opposite sides are equal.
monitta

Answer:

True

Step-by-step explanation:

A parallelogram is a quadrilateral with 4 sides and both pairs of opposite sides are equal.

6 0
3 years ago
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